TY - CONF
AU - Daymude, Joshua J.
AU - Gmyr, Robert
AU - Hinnenthal, Kristian
AU - Kostitsyna, Irina
AU - Scheideler, Christian
AU - Richa, Andréa W.
ID - 16346
SN - 9781450377515
T2 - Proceedings of the 21st International Conference on Distributed Computing and Networking
TI - Convex Hull Formation for Programmable Matter
ER -
TY - JOUR
AU - Gmyr, Robert
AU - Hinnenthal, Kristian
AU - Kostitsyna, Irina
AU - Kuhn, Fabian
AU - Rudolph, Dorian
AU - Scheideler, Christian
AU - Strothmann, Thim
ID - 17808
IS - 2
JF - Nat. Comput.
TI - Forming tile shapes with simple robots
VL - 19
ER -
TY - JOUR
AB - The maintenance of efficient and robust overlay networks is one
of the most fundamental and reoccurring themes in networking.
This paper presents a survey of state-of-the-art
algorithms to design and repair overlay networks in a distributed
manner. In particular, we discuss basic algorithmic primitives
to preserve connectivity, review algorithms for the fundamental
problem of graph linearization, and then survey self-stabilizing
algorithms for metric and scalable topologies.
We also identify open problems and avenues for future research.
AU - Feldmann, Michael
AU - Scheideler, Christian
AU - Schmid, Stefan
ID - 16902
JF - ACM Computing Surveys
TI - Survey on Algorithms for Self-Stabilizing Overlay Networks
ER -
TY - CONF
AU - Castenow, Jannik
AU - Kolb, Christina
AU - Scheideler, Christian
ID - 15169
T2 - Proceedings of the 21st International Conference on Distributed Computing and Networking (ICDCN)
TI - A Bounding Box Overlay for Competitive Routing in Hybrid Communication Networks
ER -
TY - CONF
AB - We consider the clock synchronization problem in the (discrete) beeping model: Given a network of $n$ nodes with each node having a clock value $\delta(v) \in \{0,\ldots T-1\}$, the goal is to synchronize the clock values of all nodes such that they have the same value in any round.
As is standard in clock synchronization, we assume \emph{arbitrary activations} for all nodes, i.e., the nodes start their protocol at an arbitrary round (not limited to $\{0,\ldots,T-1\}$).
We give an asymptotically optimal algorithm that runs in $4D + \Bigl\lfloor \frac{D}{\lfloor T/4 \rfloor} \Bigr \rfloor \cdot (T \mod 4) = O(D)$ rounds, where $D$ is the diameter of the network.
Once all nodes are in sync, they beep at the same round every $T$ rounds.
The algorithm drastically improves on the $O(T D)$-bound of \cite{firefly_sync} (where $T$ is required to be at least $4n$, so the bound is no better than $O(nD)$).
Our algorithm is very simple as nodes only have to maintain $3$ bits in addition to the $\lceil \log T \rceil$ bits needed to maintain the clock.
Furthermore we investigate the complexity of \emph{self-stabilizing} solutions for the clock synchronization problem: We first show lower bounds of $\Omega(\max\{T,n\})$ rounds on the runtime and $\Omega(\log(\max\{T,n\}))$ bits of memory required for any such protocol.
Afterwards we present a protocol that runs in $O(\max\{T,n\})$ rounds using at most $O(\log(\max\{T,n\}))$ bits at each node, which is asymptotically optimal with regards to both, runtime and memory requirements.
AU - Feldmann, Michael
AU - Khazraei, Ardalan
AU - Scheideler, Christian
ID - 16903
T2 - Proceedings of the 32nd ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)
TI - Time- and Space-Optimal Discrete Clock Synchronization in the Beeping Model
ER -
TY - CONF
AU - Hinnenthal, Kristian
AU - Scheideler, Christian
AU - Struijs, Martijn
ID - 13652
T2 - 33rd International Symposium on Distributed Computing (DISC 2019)
TI - Fast Distributed Algorithms for LP-Type Problems of Low Dimension
ER -
TY - CONF
AU - Augustine, John
AU - Hinnenthal, Kristian
AU - Kuhn, Fabian
AU - Scheideler, Christian
AU - Schneider, Philipp
ID - 15627
SN - 9781611975994
T2 - Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms
TI - Shortest Paths in a Hybrid Network Model
ER -
TY - CONF
AB - We investigate the maintenance of overlay networks under massive churn, i.e.
nodes joining and leaving the network. We assume an adversary that may churn a
constant fraction $\alpha n$ of nodes over the course of $\mathcal{O}(\log n)$
rounds. In particular, the adversary has an almost up-to-date information of
the network topology as it can observe an only slightly outdated topology that
is at least $2$ rounds old. Other than that, we only have the provably minimal
restriction that new nodes can only join the network via nodes that have taken
part in the network for at least one round.
Our contributions are as follows: First, we show that it is impossible to
maintain a connected topology if adversary has up-to-date information about the
nodes' connections. Further, we show that our restriction concerning the join
is also necessary. As our main result present an algorithm that constructs a
new overlay- completely independent of all previous overlays - every $2$
rounds. Furthermore, each node sends and receives only $\mathcal{O}(\log^3 n)$
messages each round. As part of our solution we propose the Linearized DeBruijn
Swarm (LDS), a highly churn resistant overlay, which will be maintained by the
algorithm. However, our approaches can be transferred to a variety of classical
P2P Topologies where nodes are mapped into the $[0,1)$-interval.
AU - Götte, Thorsten
AU - Vijayalakshmi, Vipin Ravindran
AU - Scheideler, Christian
ID - 6976
T2 - Proceedings of the 2019 IEEE 33rd International Parallel and Distributed Processing Symposium (IPDPS '19)
TI - Always be Two Steps Ahead of Your Enemy - Maintaining a Routable Overlay under Massive Churn with an Almost Up-to-date Adversary
ER -
TY - CONF
AU - Augustine, John
AU - Ghaffari, Mohsen
AU - Gmyr, Robert
AU - Hinnenthal, Kristian
AU - Kuhn, Fabian
AU - Li, Jason
AU - Scheideler, Christian
ID - 8871
T2 - Proceedings of the 31st ACM Symposium on Parallelism in Algorithms and Architectures
TI - Distributed Computation in Node-Capacitated Networks
ER -
TY - JOUR
AU - Gmyr, Robert
AU - Lefevre, Jonas
AU - Scheideler, Christian
ID - 14830
IS - 2
JF - Theory Comput. Syst.
TI - Self-Stabilizing Metric Graphs
VL - 63
ER -