---
_id: '49905'
abstract:
- lang: eng
  text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected
    r-graph has s pairwise disjoint perfect matchings. There are only a few values
    of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for
    all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤
    3l − 6 for every l ≥ 3 and r ≥ 2l."
author:
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Davide
  full_name: Mattiolo, Davide
  last_name: Mattiolo
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint
    Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a
    href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>
  apa: Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity
    and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>,
    <i>44</i>, 429–440. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>
  bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>},
    journal={Combinatorica}, publisher={Springer Science and Business Media LLC},
    author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus},
    year={2024}, pages={429–440} }'
  chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
    “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.”
    <i>Combinatorica</i> 44 (2024): 429–40. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>.'
  ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44,
    pp. 429–440, 2024, doi: <a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.'
  mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings
    in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business
    Media LLC, 2024, pp. 429–40, doi:<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.
  short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.
date_created: 2023-12-20T10:31:27Z
date_updated: 2024-03-22T12:11:35Z
department:
- _id: '542'
doi: 10.1007/s00493-023-00078-9
intvolume: '        44'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 429-440
publication: Combinatorica
publication_identifier:
  issn:
  - 0209-9683
  - 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs
type: journal_article
user_id: '15540'
volume: 44
year: '2024'
...
---
_id: '51351'
author:
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. <i>Discrete
    Applied Mathematics</i>. 2023;337:185-189. doi:<a href="https://doi.org/10.1016/j.dam.2023.05.008">10.1016/j.dam.2023.05.008</a>
  apa: Steffen, E., &#38; Wolf, I. H. (2023). Bounds for the chromatic index of signed
    multigraphs. <i>Discrete Applied Mathematics</i>, <i>337</i>, 185–189. <a href="https://doi.org/10.1016/j.dam.2023.05.008">https://doi.org/10.1016/j.dam.2023.05.008</a>
  bibtex: '@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed
    multigraphs}, volume={337}, DOI={<a href="https://doi.org/10.1016/j.dam.2023.05.008">10.1016/j.dam.2023.05.008</a>},
    journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen,
    Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }'
  chicago: 'Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic
    Index of Signed Multigraphs.” <i>Discrete Applied Mathematics</i> 337 (2023):
    185–89. <a href="https://doi.org/10.1016/j.dam.2023.05.008">https://doi.org/10.1016/j.dam.2023.05.008</a>.'
  ieee: 'E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,”
    <i>Discrete Applied Mathematics</i>, vol. 337, pp. 185–189, 2023, doi: <a href="https://doi.org/10.1016/j.dam.2023.05.008">10.1016/j.dam.2023.05.008</a>.'
  mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index
    of Signed Multigraphs.” <i>Discrete Applied Mathematics</i>, vol. 337, Elsevier
    BV, 2023, pp. 185–89, doi:<a href="https://doi.org/10.1016/j.dam.2023.05.008">10.1016/j.dam.2023.05.008</a>.
  short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.
date_created: 2024-02-14T17:33:29Z
date_updated: 2024-02-14T17:33:59Z
department:
- _id: '542'
doi: 10.1016/j.dam.2023.05.008
intvolume: '       337'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 185-189
publication: Discrete Applied Mathematics
publication_identifier:
  issn:
  - 0166-218X
publication_status: published
publisher: Elsevier BV
status: public
title: Bounds for the chromatic index of signed multigraphs
type: journal_article
user_id: '15540'
volume: 337
year: '2023'
...
---
_id: '51357'
article_number: '113457'
author:
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Steffen E, Wolf IH. Rotation r-graphs. <i>Discrete Mathematics</i>. Published
    online 2023. doi:<a href="https://doi.org/10.1016/j.disc.2023.113457">10.1016/j.disc.2023.113457</a>
  apa: Steffen, E., &#38; Wolf, I. H. (2023). Rotation r-graphs. <i>Discrete Mathematics</i>,
    Article 113457. <a href="https://doi.org/10.1016/j.disc.2023.113457">https://doi.org/10.1016/j.disc.2023.113457</a>
  bibtex: '@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={<a href="https://doi.org/10.1016/j.disc.2023.113457">10.1016/j.disc.2023.113457</a>},
    number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen,
    Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
  chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” <i>Discrete
    Mathematics</i>, 2023. <a href="https://doi.org/10.1016/j.disc.2023.113457">https://doi.org/10.1016/j.disc.2023.113457</a>.
  ieee: 'E. Steffen and I. H. Wolf, “Rotation r-graphs,” <i>Discrete Mathematics</i>,
    Art. no. 113457, 2023, doi: <a href="https://doi.org/10.1016/j.disc.2023.113457">10.1016/j.disc.2023.113457</a>.'
  mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” <i>Discrete
    Mathematics</i>, 113457, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.disc.2023.113457">10.1016/j.disc.2023.113457</a>.
  short: E. Steffen, I.H. Wolf, Discrete Mathematics (2023).
date_created: 2024-02-16T08:44:50Z
date_updated: 2024-02-16T08:45:10Z
department:
- _id: '542'
doi: 10.1016/j.disc.2023.113457
keyword:
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
publication: Discrete Mathematics
publication_identifier:
  issn:
  - 0012-365X
publication_status: published
publisher: Elsevier BV
status: public
title: Rotation r-graphs
type: journal_article
user_id: '15540'
year: '2023'
...
---
_id: '33741'
abstract:
- lang: eng
  text: There are many concepts of signed graph coloring which are defined by assigning
    colors to the vertices of the graphs. These concepts usually differ in the number
    of self-inverse colors used. We introduce a unifying concept for this kind of
    coloring by assigning elements from symmetric sets to the vertices of the signed
    graphs. In the first part of the paper, we study colorings with elements from
    symmetric sets where the number of self-inverse elements is fixed. We prove a
    Brooks’-type theorem and upper bounds for the corresponding chromatic numbers
    in terms of the chromatic number of the underlying graph. These results are used
    in the second part where we introduce the symset-chromatic number χsym(G,σ) of
    a signed graph (G,σ). We show that the symset-chromatic number gives the minimum
    partition of a signed graph into independent sets and non-bipartite antibalanced
    subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these
    colorings can also be formalized as DP-colorings.
author:
- first_name: Chiara
  full_name: Cappello, Chiara
  id: '72874'
  last_name: Cappello
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
citation:
  ama: Cappello C, Steffen E. Symmetric Set Coloring of Signed Graphs. <i>Annals of
    Combinatorics</i>. Published online 2022. doi:<a href="https://doi.org/10.1007/s00026-022-00593-4">10.1007/s00026-022-00593-4</a>
  apa: Cappello, C., &#38; Steffen, E. (2022). Symmetric Set Coloring of Signed Graphs.
    <i>Annals of Combinatorics</i>. <a href="https://doi.org/10.1007/s00026-022-00593-4">https://doi.org/10.1007/s00026-022-00593-4</a>
  bibtex: '@article{Cappello_Steffen_2022, title={Symmetric Set Coloring of Signed
    Graphs}, DOI={<a href="https://doi.org/10.1007/s00026-022-00593-4">10.1007/s00026-022-00593-4</a>},
    journal={Annals of Combinatorics}, publisher={Springer Science and Business Media
    LLC}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022} }'
  chicago: Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed
    Graphs.” <i>Annals of Combinatorics</i>, 2022. <a href="https://doi.org/10.1007/s00026-022-00593-4">https://doi.org/10.1007/s00026-022-00593-4</a>.
  ieee: 'C. Cappello and E. Steffen, “Symmetric Set Coloring of Signed Graphs,” <i>Annals
    of Combinatorics</i>, 2022, doi: <a href="https://doi.org/10.1007/s00026-022-00593-4">10.1007/s00026-022-00593-4</a>.'
  mla: Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.”
    <i>Annals of Combinatorics</i>, Springer Science and Business Media LLC, 2022,
    doi:<a href="https://doi.org/10.1007/s00026-022-00593-4">10.1007/s00026-022-00593-4</a>.
  short: C. Cappello, E. Steffen, Annals of Combinatorics (2022).
date_created: 2022-10-17T07:54:41Z
date_updated: 2023-05-16T10:37:58Z
department:
- _id: '542'
doi: 10.1007/s00026-022-00593-4
external_id:
  arxiv:
  - '2106.05928'
keyword:
- Discrete Mathematics and Combinatorics
language:
- iso: eng
publication: Annals of Combinatorics
publication_identifier:
  issn:
  - 0218-0006
  - 0219-3094
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Symmetric Set Coloring of Signed Graphs
type: journal_article
user_id: '15540'
year: '2022'
...
---
_id: '31543'
article_number: '104'
author:
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Steffen E, Wolf IH. Even Factors in Edge-Chromatic-Critical Graphs with a Small
    Number of Divalent Vertices. <i>Graphs and Combinatorics</i>. 2022;38(3). doi:<a
    href="https://doi.org/10.1007/s00373-022-02506-x">10.1007/s00373-022-02506-x</a>
  apa: Steffen, E., &#38; Wolf, I. H. (2022). Even Factors in Edge-Chromatic-Critical
    Graphs with a Small Number of Divalent Vertices. <i>Graphs and Combinatorics</i>,
    <i>38</i>(3), Article 104. <a href="https://doi.org/10.1007/s00373-022-02506-x">https://doi.org/10.1007/s00373-022-02506-x</a>
  bibtex: '@article{Steffen_Wolf_2022, title={Even Factors in Edge-Chromatic-Critical
    Graphs with a Small Number of Divalent Vertices}, volume={38}, DOI={<a href="https://doi.org/10.1007/s00373-022-02506-x">10.1007/s00373-022-02506-x</a>},
    number={3104}, journal={Graphs and Combinatorics}, publisher={Springer Science
    and Business Media LLC}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus},
    year={2022} }'
  chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Even Factors in Edge-Chromatic-Critical
    Graphs with a Small Number of Divalent Vertices.” <i>Graphs and Combinatorics</i>
    38, no. 3 (2022). <a href="https://doi.org/10.1007/s00373-022-02506-x">https://doi.org/10.1007/s00373-022-02506-x</a>.
  ieee: 'E. Steffen and I. H. Wolf, “Even Factors in Edge-Chromatic-Critical Graphs
    with a Small Number of Divalent Vertices,” <i>Graphs and Combinatorics</i>, vol.
    38, no. 3, Art. no. 104, 2022, doi: <a href="https://doi.org/10.1007/s00373-022-02506-x">10.1007/s00373-022-02506-x</a>.'
  mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Even Factors in Edge-Chromatic-Critical
    Graphs with a Small Number of Divalent Vertices.” <i>Graphs and Combinatorics</i>,
    vol. 38, no. 3, 104, Springer Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s00373-022-02506-x">10.1007/s00373-022-02506-x</a>.
  short: E. Steffen, I.H. Wolf, Graphs and Combinatorics 38 (2022).
date_created: 2022-05-31T06:13:57Z
date_updated: 2023-05-16T10:41:42Z
doi: 10.1007/s00373-022-02506-x
external_id:
  arxiv:
  - '2109.11447'
intvolume: '        38'
issue: '3'
keyword:
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
publication: Graphs and Combinatorics
publication_identifier:
  issn:
  - 0911-0119
  - 1435-5914
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Even Factors in Edge-Chromatic-Critical Graphs with a Small Number of Divalent
  Vertices
type: journal_article
user_id: '15540'
volume: 38
year: '2022'
...
---
_id: '33950'
author:
- first_name: Chiara
  full_name: Cappello, Chiara
  id: '72874'
  last_name: Cappello
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
citation:
  ama: Cappello C, Steffen E. Frustration-critical signed graphs. <i>Discrete Applied
    Mathematics</i>. 2022;322:183-193. doi:<a href="https://doi.org/10.1016/j.dam.2022.08.010">10.1016/j.dam.2022.08.010</a>
  apa: Cappello, C., &#38; Steffen, E. (2022). Frustration-critical signed graphs.
    <i>Discrete Applied Mathematics</i>, <i>322</i>, 183–193. <a href="https://doi.org/10.1016/j.dam.2022.08.010">https://doi.org/10.1016/j.dam.2022.08.010</a>
  bibtex: '@article{Cappello_Steffen_2022, title={Frustration-critical signed graphs},
    volume={322}, DOI={<a href="https://doi.org/10.1016/j.dam.2022.08.010">10.1016/j.dam.2022.08.010</a>},
    journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Cappello,
    Chiara and Steffen, Eckhard}, year={2022}, pages={183–193} }'
  chicago: 'Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.”
    <i>Discrete Applied Mathematics</i> 322 (2022): 183–93. <a href="https://doi.org/10.1016/j.dam.2022.08.010">https://doi.org/10.1016/j.dam.2022.08.010</a>.'
  ieee: 'C. Cappello and E. Steffen, “Frustration-critical signed graphs,” <i>Discrete
    Applied Mathematics</i>, vol. 322, pp. 183–193, 2022, doi: <a href="https://doi.org/10.1016/j.dam.2022.08.010">10.1016/j.dam.2022.08.010</a>.'
  mla: Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.”
    <i>Discrete Applied Mathematics</i>, vol. 322, Elsevier BV, 2022, pp. 183–93,
    doi:<a href="https://doi.org/10.1016/j.dam.2022.08.010">10.1016/j.dam.2022.08.010</a>.
  short: C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.
date_created: 2022-10-28T06:51:31Z
date_updated: 2023-05-16T10:36:51Z
department:
- _id: '542'
doi: 10.1016/j.dam.2022.08.010
external_id:
  arxiv:
  - '2112.02664'
intvolume: '       322'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 183-193
publication: Discrete Applied Mathematics
publication_identifier:
  issn:
  - 0166-218X
publication_status: published
publisher: Elsevier BV
status: public
title: Frustration-critical signed graphs
type: journal_article
user_id: '15540'
volume: 322
year: '2022'
...
---
_id: '34042'
author:
- first_name: Jiaao
  full_name: Li, Jiaao
  last_name: Li
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Zhengke
  full_name: Miao, Zhengke
  last_name: Miao
- first_name: Yongtang
  full_name: Shi, Yongtang
  last_name: Shi
- first_name: Weifan
  full_name: Wang, Weifan
  last_name: Wang
- first_name: Cun-Quan
  full_name: Zhang, Cun-Quan
  last_name: Zhang
citation:
  ama: Li J, Ma Y, Miao Z, Shi Y, Wang W, Zhang C-Q. Nowhere-zero 3-flows in toroidal
    graphs. <i>Journal of Combinatorial Theory, Series B</i>. 2021;153:61-80. doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>
  apa: Li, J., Ma, Y., Miao, Z., Shi, Y., Wang, W., &#38; Zhang, C.-Q. (2021). Nowhere-zero
    3-flows in toroidal graphs. <i>Journal of Combinatorial Theory, Series B</i>,
    <i>153</i>, 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>
  bibtex: '@article{Li_Ma_Miao_Shi_Wang_Zhang_2021, title={Nowhere-zero 3-flows in
    toroidal graphs}, volume={153}, DOI={<a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>},
    journal={Journal of Combinatorial Theory, Series B}, publisher={Elsevier BV},
    author={Li, Jiaao and Ma, Yulai and Miao, Zhengke and Shi, Yongtang and Wang,
    Weifan and Zhang, Cun-Quan}, year={2021}, pages={61–80} }'
  chicago: 'Li, Jiaao, Yulai Ma, Zhengke Miao, Yongtang Shi, Weifan Wang, and Cun-Quan
    Zhang. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of Combinatorial
    Theory, Series B</i> 153 (2021): 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>.'
  ieee: 'J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, and C.-Q. Zhang, “Nowhere-zero 3-flows
    in toroidal graphs,” <i>Journal of Combinatorial Theory, Series B</i>, vol. 153,
    pp. 61–80, 2021, doi: <a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.'
  mla: Li, Jiaao, et al. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of
    Combinatorial Theory, Series B</i>, vol. 153, Elsevier BV, 2021, pp. 61–80, doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.
  short: J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, C.-Q. Zhang, Journal of Combinatorial
    Theory, Series B 153 (2021) 61–80.
date_created: 2022-11-09T08:43:55Z
date_updated: 2022-11-09T08:44:37Z
department:
- _id: '542'
doi: 10.1016/j.jctb.2021.11.001
intvolume: '       153'
keyword:
- Computational Theory and Mathematics
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
page: 61-80
publication: Journal of Combinatorial Theory, Series B
publication_identifier:
  issn:
  - 0095-8956
publication_status: published
publisher: Elsevier BV
status: public
title: Nowhere-zero 3-flows in toroidal graphs
type: journal_article
user_id: '15540'
volume: 153
year: '2021'
...
---
_id: '32810'
article_number: '103451'
author:
- first_name: Jiaao
  full_name: Li, Jiaao
  last_name: Li
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Yongtang
  full_name: Shi, Yongtang
  last_name: Shi
- first_name: Weifan
  full_name: Wang, Weifan
  last_name: Wang
- first_name: Yezhou
  full_name: Wu, Yezhou
  last_name: Wu
citation:
  ama: Li J, Ma Y, Shi Y, Wang W, Wu Y. On 3-flow-critical graphs. <i>European Journal
    of Combinatorics</i>. 2021;100. doi:<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>
  apa: Li, J., Ma, Y., Shi, Y., Wang, W., &#38; Wu, Y. (2021). On 3-flow-critical
    graphs. <i>European Journal of Combinatorics</i>, <i>100</i>, Article 103451.
    <a href="https://doi.org/10.1016/j.ejc.2021.103451">https://doi.org/10.1016/j.ejc.2021.103451</a>
  bibtex: '@article{Li_Ma_Shi_Wang_Wu_2021, title={On 3-flow-critical graphs}, volume={100},
    DOI={<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>},
    number={103451}, journal={European Journal of Combinatorics}, publisher={Elsevier
    BV}, author={Li, Jiaao and Ma, Yulai and Shi, Yongtang and Wang, Weifan and Wu,
    Yezhou}, year={2021} }'
  chicago: Li, Jiaao, Yulai Ma, Yongtang Shi, Weifan Wang, and Yezhou Wu. “On 3-Flow-Critical
    Graphs.” <i>European Journal of Combinatorics</i> 100 (2021). <a href="https://doi.org/10.1016/j.ejc.2021.103451">https://doi.org/10.1016/j.ejc.2021.103451</a>.
  ieee: 'J. Li, Y. Ma, Y. Shi, W. Wang, and Y. Wu, “On 3-flow-critical graphs,” <i>European
    Journal of Combinatorics</i>, vol. 100, Art. no. 103451, 2021, doi: <a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>.'
  mla: Li, Jiaao, et al. “On 3-Flow-Critical Graphs.” <i>European Journal of Combinatorics</i>,
    vol. 100, 103451, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>.
  short: J. Li, Y. Ma, Y. Shi, W. Wang, Y. Wu, European Journal of Combinatorics 100
    (2021).
date_created: 2022-08-15T09:35:02Z
date_updated: 2022-08-15T09:35:32Z
department:
- _id: '542'
doi: 10.1016/j.ejc.2021.103451
intvolume: '       100'
keyword:
- Discrete Mathematics and Combinatorics
language:
- iso: eng
publication: European Journal of Combinatorics
publication_identifier:
  issn:
  - 0195-6698
publication_status: published
publisher: Elsevier BV
status: public
title: On 3-flow-critical graphs
type: journal_article
user_id: '15540'
volume: 100
year: '2021'
...
---
_id: '35811'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Viviane
  full_name: Durand-Guerrier, Viviane
  last_name: Durand-Guerrier
citation:
  ama: 'Biehler R, Durand-Guerrier V. University Mathematics Didactic Research on
    Number Theory, Algebra, Discrete Mathematics, Logic. In: Hausberger T, Bosch M,
    Chelloughi F, eds. <i>Proceedings of the Third Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September
    2020)</i>. University of Carthage and INDRUM; 2020:283-287.'
  apa: Biehler, R., &#38; Durand-Guerrier, V. (2020). University Mathematics Didactic
    Research on Number Theory, Algebra, Discrete Mathematics, Logic. In T. Hausberger,
    M. Bosch, &#38; F. Chelloughi (Eds.), <i>Proceedings of the Third Conference of
    the International Network for Didactic Research in University Mathematics (INDRUM
    2020, 12-19 September 2020)</i> (pp. 283–287). University of Carthage and INDRUM.
  bibtex: '@inbook{Biehler_Durand-Guerrier_2020, place={Bizerte, Tunisia}, title={University
    Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics,
    Logic}, booktitle={Proceedings of the Third Conference of the International Network
    for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September
    2020)}, publisher={University of Carthage and INDRUM}, author={Biehler, Rolf and
    Durand-Guerrier, Viviane}, editor={Hausberger, T. and Bosch, M. and Chelloughi,
    F.}, year={2020}, pages={283–287} }'
  chicago: 'Biehler, Rolf, and Viviane Durand-Guerrier. “University Mathematics Didactic
    Research on Number Theory, Algebra, Discrete Mathematics, Logic.” In <i>Proceedings
    of the Third Conference of the International Network for Didactic Research in
    University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger,
    M. Bosch, and F. Chelloughi, 283–87. Bizerte, Tunisia: University of Carthage
    and INDRUM, 2020.'
  ieee: 'R. Biehler and V. Durand-Guerrier, “University Mathematics Didactic Research
    on Number Theory, Algebra, Discrete Mathematics, Logic,” in <i>Proceedings of
    the Third Conference of the International Network for Didactic Research in University
    Mathematics (INDRUM 2020, 12-19 September 2020)</i>, T. Hausberger, M. Bosch,
    and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020,
    pp. 283–287.'
  mla: Biehler, Rolf, and Viviane Durand-Guerrier. “University Mathematics Didactic
    Research on Number Theory, Algebra, Discrete Mathematics, Logic.” <i>Proceedings
    of the Third Conference of the International Network for Didactic Research in
    University Mathematics (INDRUM 2020, 12-19 September 2020)</i>, edited by T. Hausberger
    et al., University of Carthage and INDRUM, 2020, pp. 283–87.
  short: 'R. Biehler, V. Durand-Guerrier, in: T. Hausberger, M. Bosch, F. Chelloughi
    (Eds.), Proceedings of the Third Conference of the International Network for Didactic
    Research in University Mathematics (INDRUM 2020, 12-19 September 2020), University
    of Carthage and INDRUM, Bizerte, Tunisia, 2020, pp. 283–287.'
date_created: 2023-01-10T11:14:02Z
date_updated: 2024-11-11T11:59:12Z
ddc:
- '510'
department:
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editor:
- first_name: T.
  full_name: Hausberger, T.
  last_name: Hausberger
- first_name: M.
  full_name: Bosch, M.
  last_name: Bosch
- first_name: F.
  full_name: Chelloughi, F.
  last_name: Chelloughi
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keyword:
- Number Theory
- Algebra
- Discrete Mathematics
- Logic
- Research in University Mathematics Edcuation
language:
- iso: eng
main_file_link:
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page: 283-287
place: Bizerte, Tunisia
publication: Proceedings of the Third Conference of the International Network for
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publisher: University of Carthage and INDRUM
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title: University Mathematics Didactic Research on Number Theory, Algebra, Discrete
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year: '2020'
...
---
_id: '34672'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel
    system with singular sensitivity. <i>Discrete &#38;amp; Continuous Dynamical Systems
    - S</i>. 2019;13(2):119-137. doi:<a href="https://doi.org/10.3934/dcdss.2020007">10.3934/dcdss.2020007</a>
  apa: Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel
    system with singular sensitivity. <i>Discrete &#38;amp; Continuous Dynamical Systems
    - S</i>, <i>13</i>(2), 119–137. <a href="https://doi.org/10.3934/dcdss.2020007">https://doi.org/10.3934/dcdss.2020007</a>
  bibtex: '@article{Black_2019, title={Global generalized solutions to a parabolic-elliptic
    Keller-Segel system with singular sensitivity}, volume={13}, DOI={<a href="https://doi.org/10.3934/dcdss.2020007">10.3934/dcdss.2020007</a>},
    number={2}, journal={Discrete &#38;amp; Continuous Dynamical Systems - S}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2019},
    pages={119–137} }'
  chicago: 'Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel
    System with Singular Sensitivity.” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - S</i> 13, no. 2 (2019): 119–37. <a href="https://doi.org/10.3934/dcdss.2020007">https://doi.org/10.3934/dcdss.2020007</a>.'
  ieee: 'T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel
    system with singular sensitivity,” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - S</i>, vol. 13, no. 2, pp. 119–137, 2019, doi: <a href="https://doi.org/10.3934/dcdss.2020007">10.3934/dcdss.2020007</a>.'
  mla: Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel
    System with Singular Sensitivity.” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - S</i>, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS),
    2019, pp. 119–37, doi:<a href="https://doi.org/10.3934/dcdss.2020007">10.3934/dcdss.2020007</a>.
  short: T. Black, Discrete &#38;amp; Continuous Dynamical Systems - S 13 (2019) 119–137.
date_created: 2022-12-21T09:48:28Z
date_updated: 2022-12-21T10:04:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/dcdss.2020007
intvolume: '        13'
issue: '2'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
- Analysis
language:
- iso: eng
page: 119-137
publication: Discrete &amp; Continuous Dynamical Systems - S
publication_identifier:
  issn:
  - 1937-1179
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global generalized solutions to a parabolic-elliptic Keller-Segel system with
  singular sensitivity
type: journal_article
user_id: '23686'
volume: 13
year: '2019'
...
---
_id: '34663'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
citation:
  ama: Black T. Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>. 2017;22(4):1253-1272. doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>
  apa: Black, T. (2017). Global existence and asymptotic stability in a competitive
    two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, <i>22</i>(4), 1253–1272. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>
  bibtex: '@article{Black_2017, title={Global existence and asymptotic stability in
    a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={<a
    href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>}, number={4},
    journal={Discrete &#38;amp; Continuous Dynamical Systems - B}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017},
    pages={1253–1272} }'
  chicago: 'Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i> 22, no. 4 (2017): 1253–72. <a href="https://doi.org/10.3934/dcdsb.2017061">https://doi.org/10.3934/dcdsb.2017061</a>.'
  ieee: 'T. Black, “Global existence and asymptotic stability in a competitive two-species
    chemotaxis system with two signals,” <i>Discrete &#38;amp; Continuous Dynamical
    Systems - B</i>, vol. 22, no. 4, pp. 1253–1272, 2017, doi: <a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.'
  mla: Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive
    Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous
    Dynamical Systems - B</i>, vol. 22, no. 4, American Institute of Mathematical
    Sciences (AIMS), 2017, pp. 1253–72, doi:<a href="https://doi.org/10.3934/dcdsb.2017061">10.3934/dcdsb.2017061</a>.
  short: T. Black, Discrete &#38;amp; Continuous Dynamical Systems - B 22 (2017) 1253–1272.
date_created: 2022-12-21T09:46:50Z
date_updated: 2022-12-21T10:05:19Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/dcdsb.2017061
intvolume: '        22'
issue: '4'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 1253-1272
publication: Discrete &amp; Continuous Dynamical Systems - B
publication_identifier:
  issn:
  - 1553-524X
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global existence and asymptotic stability in a competitive two-species chemotaxis
  system with two signals
type: journal_article
user_id: '23686'
volume: 22
year: '2017'
...