TY - CONF AB - This paper presents a dynamic overlay network based on the De Bruijn graph which we call Linearized De Bruijn (LDB) network. The LDB network has the advantage that it has a guaranteed constant node degree and that the routing between any two nodes takes at most O(log n) hops with high probability. Also, we show that there is a simple local-control algorithm that can recover the LDB network from any network topology that is weakly connected. AU - Richa, Andrea W. AU - Scheideler, Christian ID - 646 T2 - Proceedings of the 13th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS) TI - Self-Stabilizing DeBruijn Networks ER - TY - CONF AB - We present Corona, a deterministic self-stabilizing algorithm for skip list construction in structured overlay networks. Corona operates in the low-atomicity message-passing asynchronous system model. Corona requires constant process memory space for its operation and, therefore, scales well. We prove the general necessary conditions limiting the initial states from which a self-stabilizing structured overlay network in message-passing system can be constructed. The conditions require that initial state information has to form a weakly connected graph and it should only contain identiers that are present in the system. We formally describe Corona and rigorously prove that it stabilizes from an arbitrary initial state subject to the necessary conditions. We extend Corona to construct a skip graph. AU - Nesterenko, Mikhail AU - Mohd, Rizal AU - Scheideler, Christian ID - 662 T2 - Proceedings of the 13th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS) TI - Corona: A Stabilizing Deterministic Message-Passing Skip List ER - TY - JOUR AU - Dolev, Shlomi AU - Scheideler, Christian ID - 1882 JF - Theor. Comput. Sci. TI - Editorial for Algorithmic Aspects of Wireless Sensor Networks ER - TY - CONF AU - Monien, Burkhard AU - Scheideler, Christian ID - 1884 SN - 978-3-642-32819-0 T2 - Euro-Par 2012 Parallel Processing - 18th International Conference, Euro-Par 2012, Rhodes Island, Greece, August 27-31, 2012. Proceedings TI - Selfish Distributed Optimization VL - 7484 ER - TY - JOUR AB - This article studies the construction of self-stabilizing topologies for distributed systems. While recent research has focused on chain topologies where nodes need to be linearized with respect to their identiers, we explore a natural and relevant 2-dimensional generalization. In particular, we present a local self-stabilizing algorithm DStab which is based on the concept of \local Delaunay graphs" and which forwards temporary edges in greedy fashion reminiscent of compass routing. DStab constructs a Delaunay graph from any initial connected topology and in a distributed manner in time O(n3) in the worst-case; if the initial network contains the Delaunay graph, the convergence time is only O(n) rounds. DStab also ensures that individual node joins and leaves aect a small part of the network only. Such self-stabilizing Delaunay networks have interesting applications and our construction gives insights into the necessary geometric reasoning that is required for higherdimensional linearization problems.Keywords: Distributed Algorithms, Topology Control, Social Networks AU - Jacob, Riko AU - Ritscher, Stephan AU - Scheideler, Christian AU - Schmid, Stefan ID - 570 JF - Theoretical Computer Science TI - Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs ER - TY - JOUR AB - 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. AU - Clouser, Thomas AU - Nesterenko, Mikhail AU - Scheideler, Christian ID - 574 JF - Theoretical Computer Science TI - Tiara: A self-stabilizing deterministic skip list and skip graph ER - TY - JOUR AB - 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. AU - Damerow, Valentina AU - Manthey, Bodo AU - Meyer auf der Heide, Friedhelm AU - Räcke, Harald AU - Scheideler, Christian AU - Sohler, Christian AU - Tantau, Till ID - 579 IS - 3 JF - Transactions on Algorithms TI - Smoothed analysis of left-to-right maxima with applications ER - TY - CONF AB - 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. AU - Drees, Maximilian AU - Hüllmann (married name: Eikel), Martina AU - Koutsopoulos, Andreas AU - Scheideler, Christian ID - 581 T2 - Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS) TI - Self-Organizing Particle Systems ER - TY - CONF AB - This paper initiates the formal study of a fundamental problem: How to efficiently allocate a shared communication medium among a set of K co-existing networks in the presence of arbitrary external interference? While most literature on medium access focuses on how to share a medium among nodes, these approaches are often either not directly applicable to co-existing networks as they would violate the independence requirement, or they yield a low throughput if applied to multiple networks. We present the randomized medium access (MAC) protocol COMAC which guarantees that a given communication channel is shared fairly among competing and independent networks, and that the available bandwidth is used efficiently. These performance guarantees hold in the presence of arbitrary external interference or even under adversarial jamming. Concretely, we show that the co-existing networks can use a Ω(ε2 min{ε, 1/poly(K)})-fraction of the non-jammed time steps for successful message transmissions, where ε is the (arbitrarily distributed) fraction of time which is not jammed. AU - Richa, Andrea W. AU - Scheideler, Christian AU - Schmid, Stefan AU - Zhang, Jin ID - 623 T2 - Proceedings of the 31st Annual ACM SIGACT-SIGOPS Symposium on Principles and Distributed Computing (PODC) TI - Competitive and fair throughput for co-existing networks under adversarial interference ER - TY - CONF AB - 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. AU - Schmid, Stefan AU - Avin, Chen AU - Scheideler, Christian AU - Häupler, Bernhard AU - Lotker, Zvi ID - 625 T2 - Proceedings of the 26th International Symposium on Distributed Computing (DISC) TI - Brief Announcement: SplayNets - Towards Self-Adjusting Distributed Data Structures ER -