@inproceedings{397,
abstract = {We present a factor $14D^2$ approximation algorithm for the minimum linear arrangement problem on series-parallel graphs, where $D$ is the maximum degree in the graph. Given a suitable decomposition of the graph, our algorithm runs in time $O(|E|)$ and is very easy to implement. Its divide-and-conquer approach allows for an effective parallelization. Note that a suitable decomposition can also be computed in time $O(|E|\log{|E|})$ (or even $O(\log{|E|}\log^*{|E|})$ on an EREW PRAM using $O(|E|)$ processors). For the proof of the approximation ratio, we use a sophisticated charging method that uses techniques similar to amortized analysis in advanced data structures. On general graphs, the minimum linear arrangement problem is known to be NP-hard. To the best of our knowledge, the minimum linear arrangement problem on series-parallel graphs has not been studied before.},
author = {Scheideler, Christian and Eikel, Martina and Setzer, Alexander},
booktitle = {Proceedings of the 12th Workshop on Approximation and Online Algorithms (WAOA)},
pages = {168----180},
title = {{Minimum Linear Arrangement of Series-Parallel Graphs}},
year = {2014},
}
@article{378,
abstract = {The Chord peer-to-peer system is considered, together with CAN, Tapestry and Pastry, as one of the pioneering works on peer-to-peer distributed hash tables (DHT) that inspired a large volume of papers and projects on DHTs as well as peer-to-peer systems in general. Chord, in particular, has been studied thoroughly, and many variants of Chord have been presented that optimize various criteria. Also, several implementations of Chord are available on various platforms. Though Chord is known to be very efficient and scalable and it can handle churn quite well, no protocol is known yet that guarantees that Chord is self-stabilizing, i.e., the Chord network can be recovered from any initial state in which the network is still weakly connected. This is not too surprising since it is known that the Chord network is not locally checkable for its current topology. We present a slight extension of the Chord network, called Re-Chord (reactive Chord), that turns out to be locally checkable, and we present a self-stabilizing distributed protocol for it that can recover the Re-Chord network from any initial state, in which the n peers are weakly connected, in O(nlogn) communication rounds. We also show that our protocol allows a new peer to join or an old peer to leave an already stable Re-Chord network so that within O(logn)^2) communication rounds the Re-Chord network is stable again.},
author = {Kniesburges, Sebastian and Koutsopoulos, Andreas and Scheideler, Christian},
journal = {Theory of Computing Systems},
number = {3},
pages = {591--612},
publisher = {Springer},
title = {{Re-Chord: A Self-stabilizing Chord Overlay Network}},
doi = {10.1007/s00224-012-9431-2},
year = {2014},
}
@inproceedings{393,
abstract = {A fundamental problem for peer-to-peer systems is to maintain connectivity while nodes are leaving, i.e., the nodes requesting to leave the peer-to-peer system are excluded from the overlay network without affecting its connectivity. There are a number of studies for safe node exclusion if the overlay is in a well-defined state initially. Surprisingly, the problem is not formally studied yet for the case in which the overlay network is in an arbitrary initial state, i.e., when looking for a self-stabilizing solution for excluding leaving nodes. We study this problem in two variants: the Finite Departure Problem (FDP) ) and the Finite Sleep Problem (FSP). In the FDP the leaving nodes have to irrevocably decide when it is safe to leave the network, whereas in the FSP, this leaving decision does not have to be final: the nodes may resume computation if necessary. We show that there is no self-stabilizing distributed algorithm for the FDP, even in a synchronous message passing model. To allow a solution, we introduce an oracle called NIDEC and show that it is sufficient even for the asynchronous message passing model by proposing an algorithm that can solve the FDP using NIDEC. We also show that a solution to the FSP does not require an oracle.},
author = {Foreback, Dianne and Koutsopoulos, Andreas and Nesterenko, Mikhail and Scheideler, Christian and Strothmann, Thim Frederik},
booktitle = {Proceedings of the 16th International Symposium on Stabilization, Safety, and Security of Distributed Systems},
pages = {48----62},
title = {{On Stabilizing Departures in Overlay Networks}},
doi = {10.1007/978-3-319-11764-5_4},
year = {2014},
}
@article{387,
abstract = {This article studies the design of medium access control (MAC) protocols for wireless networks that are provably robust against arbitrary and unpredictable disruptions (e.g., due to unintentional external interference from co-existing networks or due to jamming). We consider a wireless network consisting of a set of n honest and reliable nodes within transmission (and interference) range of each other, and we model the external disruptions with a powerful adaptive adversary. This adversary may know the protocol and its entire history and can use this knowledge to jam the wireless channel at will at any time. It is allowed to jam a (1 − )-fraction of the timesteps, for an arbitrary constant > 0 unknown to the nodes. The nodes cannot distinguish between the adversarial jamming or a collision of two or more messages that are sent at the same time. We demonstrate, for the first time, that there is a local-control MAC protocol requiring only very limited knowledge about the adversary and the network that achieves a constant (asymptotically optimal) throughput for the nonjammed time periods under any of the aforementioned adversarial strategies. The derived principles are also useful to build robust applications on top of the MAC layer, and we present an exemplary study for leader election, one of the most fundamental tasks in distributed computing.},
author = {Awerbuch, Baruch and Richa, Andrea W. and Scheideler, Christian and Schmid, Stefan and Zhang, Jin},
journal = {Transactions on Algorithms},
number = {4},
publisher = {ACM},
title = {{Principles of Robust Medium Access and an Application to Leader Election}},
doi = {10.1145/2635818},
year = {2014},
}
@article{464,
abstract = {Topological self-stabilization is an important concept to build robust open distributed systems (such as peer-to-peer systems) where nodes can organize themselves into meaningful network topologies. The goal is to devise distributed algorithms where nodes forward, insert, and delete links to neighboring nodes, and that converge quickly to such a desirable topology, independently of the initial network configuration. This article proposes a new model to study the parallel convergence time. Our model sheds light on the achievable parallelism by avoiding bottlenecks of existing models that can yield a distorted picture. As a case study, we consider local graph linearization—i.e., how to build a sorted list of the nodes of a connected graph in a distributed and self-stabilizing manner. In order to study the main structure and properties of our model, we propose two variants of a most simple local linearization algorithm. For each of these variants, we present analyses of the worst-case and bestcase parallel time complexities, as well as the performance under a greedy selection of the actions to be executed. It turns out that the analysis is non-trivial despite the simple setting, and to complement our formal insights we report on our experiments which indicate that the runtimes may be better in the average case.},
author = {Gall, Dominik and Jacob, Riko and Richa, Andrea W. and Scheideler, Christian and Schmid, Stefan and Täubig, Hanjo },
journal = {Theory of Computing Systems},
number = {1},
pages = {110--135},
publisher = {Springer},
title = {{A Note on the Parallel Runtime of Self-Stabilizing Graph Linearization}},
doi = {10.1007/s00224-013-9504-x},
year = {2014},
}
@article{1868,
author = {W. Richa, Andr{\'{e}}a and Scheideler, Christian and Schmid, Stefan and Zhang, Jin},
journal = {Distributed Computing},
number = {3},
pages = {159----171},
title = {{Competitive throughput in multi-hop wireless networks despite adaptive jamming}},
doi = {10.1007/s00446-012-0180-x},
year = {2013},
}
@article{1870,
author = {Mohd Nor, Rizal and Nesterenko, Mikhail and Scheideler, Christian},
journal = {Theor. Comput. Sci.},
pages = {119----129},
title = {{Corona: A stabilizing deterministic message-passing skip list}},
doi = {10.1016/j.tcs.2012.08.029},
year = {2013},
}
@inproceedings{542,
abstract = {We consider the problem of managing a dynamic heterogeneous storagesystem in a distributed way so that the amount of data assigned to a hostin that system is related to its capacity. Two central problems have to be solvedfor this: (1) organizing the hosts in an overlay network with low degree and diameterso that one can efficiently check the correct distribution of the data androute between any two hosts, and (2) distributing the data among the hosts so thatthe distribution respects the capacities of the hosts and can easily be adapted asthe set of hosts or their capacities change. We present distributed protocols forthese problems that are self-stabilizing and that do not need any global knowledgeabout the system such as the number of nodes or the overall capacity of thesystem. Prior to this work no solution was known satisfying these properties.},
author = {Kniesburges, Sebastian and Koutsopoulos, Andreas and Scheideler, Christian},
booktitle = {Proceedings of the 27th International Symposium on Distributed Computing (DISC)},
pages = {537--549},
title = {{CONE-DHT: A distributed self-stabilizing algorithm for a heterogeneous storage system}},
doi = {10.1007/978-3-642-41527-2_37},
year = {2013},
}
@article{1871,
author = {W. Richa, Andrea and Scheideler, Christian and Schmid, Stefan and Zhang, Jin},
journal = {IEEE/ACM Trans. Netw.},
number = {3},
pages = {760----771},
title = {{An Efficient and Fair MAC Protocol Robust to Reactive Interference}},
doi = {10.1109/TNET.2012.2210241},
year = {2013},
}
@inproceedings{513,
abstract = {This paper initiates the study of self-adjusting networks (or distributed data structures) whose topologies dynamically adapt to a communication pattern $\sigma$. We present a fully decentralized self-adjusting solution called SplayNet. A SplayNet is a distributed generalization of the classic splay tree concept. It ensures short paths (which can be found using local-greedy routing) between communication partners while minimizing topological rearrangements. We derive an upper bound for the amortized communication cost of a SplayNet based on empirical entropies of $\sigma$, and show that SplayNets have several interesting convergence properties. For instance, SplayNets features a provable online optimality under special requests scenarios. We also investigate the optimal static network and prove different lower bounds for the average communication cost based on graph cuts and on the empirical entropy of the communication pattern $\sigma$. From these lower bounds it follows, e.g., that SplayNets are optimal in scenarios where the requests follow a product distribution as well. Finally, this paper shows that in contrast to the Minimum Linear Arrangement problem which is generally NP-hard, the optimal static tree network can be computed in polynomial time for any guest graph, despite the exponentially large graph family. We complement our formal analysis with a small simulation study on a Facebook graph.},
author = {Avin, Chen and Häupler, Bernhard and Lotker, Zvi and Scheideler, Christian and Schmid, Stefan},
booktitle = {Proceedings of the 27th IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
pages = {395--406},
title = {{Locally Self-Adjusting Tree Networks}},
doi = {10.1109/IPDPS.2013.40},
year = {2013},
}
@inproceedings{519,
abstract = {In this work we present the first scalable distributed information system,i.e., a system with low storage overhead, that is provably robust againstDenial-of-Service (DoS) attacks by a current insider. We allow acurrent insider to have complete knowledge about the information systemand to have the power to block any \epsilon-fraction of its serversby a DoS-attack, where \epsilon can be chosen up to a constant. The taskof the system is to serve any collection of lookup requests with at most oneper non-blocked server in an efficient way despite this attack. Previously,scalable solutions were only known for DoS-attacks of past insiders, where apast insider only has complete knowledge about some past time pointt_0 of the information system. Scheideler et al. (DISC 2007, SPAA 2009) showedthat in this case it is possible to design an information system so that anyinformation that was inserted or last updated after t_0 is safe against a DoS-attack. But their constructions would not work at all for a current insider. The key idea behindour IRIS system is to make extensive use of coding. More precisely, we presenttwo alternative distributed coding strategies with an at most logarithmicstorage overhead that can handle up to a constant fraction of blocked servers.},
author = {Eikel, Martina and Scheideler, Christian},
booktitle = {Proceedings of the 25th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)},
pages = {119--129},
title = {{IRIS: A Robust Information System Against Insider DoS-Attacks}},
doi = {10.1145/2486159.2486186},
year = {2013},
}
@inproceedings{564,
abstract = {We consider the problem of resource discovery in distributed systems. In particular we give an algorithm, such that each node in a network discovers the add ress of any other node in the network. We model the knowledge of the nodes as a virtual overlay network given by a directed graph such that complete knowledge of all nodes corresponds to a complete graph in the overlay network. Although there are several solutions for resource discovery, our solution is the first that achieves worst-case optimal work for each node, i.e. the number of addresses (O(n)) or bits (O(nlogn)) a node receives or sendscoincides with the lower bound, while ensuring only a linearruntime (O(n)) on the number of rounds.},
author = {Kniesburges, Sebastian and Koutsopoulos, Andreas and Scheideler, Christian},
booktitle = {Proceedings of 20th International Colloqium on Structural Information and Communication Complexity (SIROCCO)},
pages = {165--176},
title = {{A Deterministic Worst-Case Message Complexity Optimal Solution for Resource Discovery}},
doi = {10.1007/978-3-319-03578-9_14},
year = {2013},
}
@article{476,
abstract = {An elementary h-route ow, for an integer h 1, is a set of h edge- disjoint paths between a source and a sink, each path carrying a unit of ow, and an h-route ow is a non-negative linear combination of elementary h-routeows. An h-route cut is a set of edges whose removal decreases the maximum h-route ow between a given source-sink pair (or between every source-sink pair in the multicommodity setting) to zero. The main result of this paper is an approximate duality theorem for multicommodity h-route cuts and ows, for h 3: The size of a minimum h-route cut is at least f=h and at most O(log4 k f) where f is the size of the maximum h-routeow and k is the number of commodities. The main step towards the proof of this duality is the design and analysis of a polynomial-time approximation algorithm for the minimum h-route cut problem for h = 3 that has an approximation ratio of O(log4 k). Previously, polylogarithmic approximation was known only for h-route cuts for h 2. A key ingredient of our algorithm is a novel rounding technique that we call multilevel ball-growing. Though the proof of the duality relies on this algorithm, it is not a straightforward corollary of it as in the case of classical multicommodity ows and cuts. Similar results are shown also for the sparsest multiroute cut problem.},
author = {Kolman, Petr and Scheideler, Christian},
journal = {Theory of Computing Systems},
number = {2},
pages = {341--363},
publisher = {Springer},
title = {{Towards Duality of Multicommodity Multiroute Cuts and Flows: Multilevel Ball-Growing}},
doi = {10.1007/s00224-013-9454-3},
year = {2013},
}
@article{1882,
author = {Dolev, Shlomi and Scheideler, Christian},
journal = {Theor. Comput. Sci.},
pages = {1},
title = {{Editorial for Algorithmic Aspects of Wireless Sensor Networks}},
doi = {10.1016/j.tcs.2012.07.012},
year = {2012},
}
@article{574,
abstract = {We present Tiara — a self-stabilizing peer-to-peer network maintenance algorithm. Tiara is truly deterministic which allows it to achieve exact performance bounds. Tiara allows logarithmic searches and topology updates. It is based on a novel sparse 0-1 skip list. We then describe its extension to a ringed structure and to a skip-graph.Key words: Peer-to-peer networks, overlay networks, self-stabilization.},
author = {Clouser, Thomas and Nesterenko, Mikhail and Scheideler, Christian},
journal = {Theoretical Computer Science},
pages = {18--35},
publisher = {Elsevier},
title = {{Tiara: A self-stabilizing deterministic skip list and skip graph}},
doi = {10.1016/j.tcs.2011.12.079},
year = {2012},
}
@article{579,
abstract = {A left-to-right maximum in a sequence of n numbers s_1, …, s_n is a number that is strictly larger than all preceding numbers. In this article we present a smoothed analysis of the number of left-to-right maxima in the presence of additive random noise. We show that for every sequence of n numbers s_i ∈ [0,1] that are perturbed by uniform noise from the interval [-ε,ε], the expected number of left-to-right maxima is Θ(&sqrt;n/ε + log n) for ε>1/n. For Gaussian noise with standard deviation σ we obtain a bound of O((log3/2 n)/σ + log n).We apply our results to the analysis of the smoothed height of binary search trees and the smoothed number of comparisons in the quicksort algorithm and prove bounds of Θ(&sqrt;n/ε + log n) and Θ(n/ε+1&sqrt;n/ε + n log n), respectively, for uniform random noise from the interval [-ε,ε]. Our results can also be applied to bound the smoothed number of points on a convex hull of points in the two-dimensional plane and to smoothed motion complexity, a concept we describe in this article. We bound how often one needs to update a data structure storing the smallest axis-aligned box enclosing a set of points moving in d-dimensional space.},
author = {Damerow, Valentina and Manthey, Bodo and Meyer auf der Heide, Friedhelm and Räcke, Harald and Scheideler, Christian and Sohler, Christian and Tantau, Till},
journal = {Transactions on Algorithms},
number = {3},
pages = {30},
publisher = {ACM},
title = {{Smoothed analysis of left-to-right maxima with applications}},
doi = {10.1145/2229163.2229174},
year = {2012},
}
@inproceedings{581,
abstract = {Nanoparticles are getting more and more in the focus of the scientic community since the potential for the development of very small particles interacting with each other and completing medical and other tasks is getting bigger year by year. In this work we introduce a distributed local algorithm for arranging a set of nanoparticles on the discrete plane into specic geometric shapes, for instance a rectangle. The concept of a particle we use can be seen as a simple mobile robot with the following restrictions: it can only view the state of robots it is physically connected to, is anonymous, has only a constant size memory, can only move by using other particles as an anchor point on which it pulls itself alongside, and it operates in Look-Compute-Move cycles. The main result of this work is the presentation of a random distributed local algorithm which transforms any given connected set of particles into a particular geometric shape. As an example we provide a version of this algorithm for forming a rectangle with an arbitrary predened aspect ratio. To the best of our knowledge this is the rst work that considers arrangement problems for these types of robots.},
author = {Drees, Maximilian and Hüllmann (married name: Eikel), Martina and Koutsopoulos, Andreas and Scheideler, Christian},
booktitle = {Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
pages = {1272--1283},
title = {{Self-Organizing Particle Systems}},
doi = {10.1109/IPDPS.2012.116},
year = {2012},
}
@inproceedings{625,
abstract = {This paper initiates the study of self-adjusting distributed data structures for networks. In particular, we present SplayNets: a binary search tree based network that is self-adjusting to routing request.We derive entropy bounds on the amortized routing cost and show that our splaying algorithm has some interesting properties.},
author = {Schmid, Stefan and Avin, Chen and Scheideler, Christian and Häupler, Bernhard and Lotker, Zvi},
booktitle = {Proceedings of the 26th International Symposium on Distributed Computing (DISC)},
pages = {439--440},
title = {{Brief Announcement: SplayNets - Towards Self-Adjusting Distributed Data Structures}},
doi = {10.1007/978-3-642-33651-5_47},
year = {2012},
}
@inproceedings{632,
abstract = {Given an integer h, a graph G = (V;E) with arbitrary positive edge capacities and k pairs of vertices (s1; t1); (s2; t2); : : : ; (sk; tk), called terminals, an h-route cut is a set F µ E of edges such that after the removal of the edges in F no pair si ¡ ti is connected by h edge-disjoint paths (i.e., the connectivity of every si ¡ ti pair is at most h ¡ 1 in (V;E n F)). The h-route cut is a natural generalization of the classical cut problem for multicommodity °ows (take h = 1). The main result of this paper is an O(h722h log2 k)-approximation algorithm for the minimum h-route cut problem in the case that s1 = s2 = ¢ ¢ ¢ = sk, called the single source case. As a corollary of it we obtain an approximate duality theorem for multiroute multicom-modity °ows and cuts with a single source. This partially answers an open question posted in several previous papers dealing with cuts for multicommodity multiroute problems.},
author = {Kolman, Petr and Scheideler, Christian},
booktitle = {Proceedings of the 23th ACM SIAM Symposium on Discrete Algorithms (SODA)},
pages = {800--810},
title = {{Approximate Duality of Multicommodity Multiroute Flows and Cuts: Single Source Case}},
doi = {10.1137/1.9781611973099.64},
year = {2012},
}
@inproceedings{1884,
author = {Monien, Burkhard and Scheideler, Christian},
booktitle = {Euro-Par 2012 Parallel Processing - 18th International Conference, Euro-Par 2012, Rhodes Island, Greece, August 27-31, 2012. Proceedings},
isbn = {978-3-642-32819-0},
pages = {1----2},
publisher = {Springer},
title = {{Selfish Distributed Optimization}},
doi = {10.1007/978-3-642-32820-6_1},
volume = {7484},
year = {2012},
}