TY - JOUR
AU - Derakhshandeh, Zahra
AU - Gmyr, Robert
AU - W. Richa, Andrea
AU - Scheideler, Christian
AU - Strothmann, Thim Frederik
ID - 1814
JF - Theor. Comput. Sci.
TI - Universal coating for programmable matter
ER -
TY - CONF
AU - J. Daymude, Joshua
AU - Gmyr, Robert
AU - W. Richa, Andrea
AU - Scheideler, Christian
AU - Strothmann, Thim Frederik
ID - 1815
T2 - Algorithms for Sensor Systems - 13th International Symposium on Algorithms and Experiments for Wireless Sensor Networks, ALGOSENSORS 2017, Vienna, Austria, September 7-8, 2017, Revised Selected Papers
TI - Improved Leader Election for Self-organizing Programmable Matter
ER -
TY - JOUR
AU - Koutsopoulos, Andreas
AU - Scheideler, Christian
AU - Strothmann, Thim Frederik
ID - 1812
JF - Inf. Comput.
TI - Towards a universal approach for the finite departure problem in overlay networks
ER -
TY - CONF
AB - We study the consensus problem in a synchronous distributed system of n nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the nodes in each round. Motivated by a result of Ben-Or and Bar-Joseph (1998), showing that any consensus algorithm that is resilient against a linear number of crash faults requires $\tilde \Omega(\sqrt n)$ rounds in an n-node network against an adaptive adversary, we consider a late adaptive adversary, who has full knowledge of the network state at the beginning of the previous round and unlimited computational power, but is oblivious to the current state of the nodes.
Our main contributions are randomized distributed algorithms that achieve consensus with high probability among all except a small constant fraction of the nodes (i.e., "almost-everywhere'') against a late adaptive adversary who can block up to ε n$ nodes in each round, for a small constant ε >0$. Our first protocol achieves binary almost-everywhere consensus and also guarantees a decision on the majority input value, thus ensuring plurality consensus. We also present an algorithm that achieves the same time complexity for multi-value consensus. Both of our algorithms succeed in $O(log n)$ rounds with high probability, thus showing an exponential gap to the $\tilde\Omega(\sqrt n)$ lower bound of Ben-Or and Bar-Joseph for strongly adaptive crash-failure adversaries, which can be strengthened to $\Omega(n)$ when allowing the adversary to block nodes instead of permanently crashing them. Our algorithms are scalable to large systems as each node contacts only an (amortized) constant number of peers in each communication round. We show that our algorithms are optimal up to constant (resp.\ sub-logarithmic) factors by proving that every almost-everywhere consensus protocol takes $\Omega(log_d n)$ rounds in the worst case, where d is an upper bound on the number of communication requests initiated per node in each round. We complement our theoretical results with an experimental evaluation of the binary almost-everywhere consensus protocol revealing a short convergence time even against an adversary blocking a large fraction of nodes.
AU - Robinson, Peter
AU - Scheideler, Christian
AU - Setzer, Alexander
ID - 3422
KW - distributed consensus
KW - randomized algorithm
KW - adaptive adversary
KW - complexity lower bound
SN - 978-1-4503-5799-9/18/07
T2 - Proceedings of the 30th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)
TI - Breaking the $\tilde\Omega(\sqrt{n})$ Barrier: Fast Consensus under a Late Adversary
ER -
TY - CONF
AU - Gmyr, Robert
AU - Hinnenthal, Kristian
AU - Kostitsyna, Irina
AU - Kuhn, Fabian
AU - Rudolph, Dorian
AU - Scheideler, Christian
AU - Strothmann, Thim Frederik
ID - 5764
T2 - Proceedings of the 24th International Conference on DNA Computing and Molecular Programming
TI - Forming Tile Shapes with Simple Robots
ER -
TY - CONF
AU - Scheideler, Christian
ID - 5985
T2 - Proceedings of the 2018 Workshop on Theory and Practice for Integrated Cloud, Fog and Edge Computing Paradigms, TOPIC@PODC 2018, Egham, United Kingdom, July 27, 2018
TI - Relays: Towards a Link Layer for Robust and Secure Fog Computing
ER -
TY - CONF
AB - We extend the concept of monotonic searchability~\cite{DBLP:conf/opodis/ScheidelerSS15}~\cite{DBLP:conf/wdag/ScheidelerSS16} for self-stabilizing systems from one to multiple dimensions.
A system is self-stabilizing if it can recover to a legitimate state from any initial illegal state.
These kind of systems are most often used in distributed applications.
Monotonic searchability provides guarantees when searching for nodes while the recovery process is going on.
More precisely, if a search request started at some node $u$ succeeds in reaching its destination $v$, then all future search requests from $u$ to $v$ succeed as well.
Although there already exists a self-stabilizing protocol for a two-dimensional topology~\cite{DBLP:journals/tcs/JacobRSS12} and an universal approach for monotonic searchability~\cite{DBLP:conf/wdag/ScheidelerSS16}, it is not clear how both of these concepts fit together effectively.
The latter concept even comes with some restrictive assumptions on messages, which is not the case for our protocol.
We propose a simple novel protocol for a self-stabilizing two-dimensional quadtree that satisfies monotonic searchability.
Our protocol can easily be extended to higher dimensions and offers routing in $\mathcal O(\log n)$ hops for any search request.
AU - Feldmann, Michael
AU - Kolb, Christina
AU - Scheideler, Christian
ID - 4351
T2 - Proceedings of the 20th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)
TI - Self-stabilizing Overlays for high-dimensional Monotonic Searchability
VL - 11201
ER -
TY - CONF
AU - Jung, Daniel
AU - Kolb, Christina
AU - Scheideler, Christian
AU - Sundermeier, Jannik
ID - 4565
SN - 9781450357999
T2 - Proceedings of the 30th on Symposium on Parallelism in Algorithms and Architectures (SPAA)
TI - Brief Announcement: Competitive Routing in Hybrid Communication Networks
ER -
TY - CONF
AU - Gmyr, Robert
AU - Hinnenthal, Kristian
AU - Kostitsyna, Irina
AU - Kuhn, Fabian
AU - Rudolph, Dorian
AU - Scheideler, Christian
ID - 5986
T2 - 43rd International Symposium on Mathematical Foundations of Computer Science, MFCS 2018, August 27-31, 2018, Liverpool, UK
TI - Shape Recognition by a Finite Automaton Robot
ER -
TY - CONF
AB - We present a self-stabilizing protocol for an overlay network that constructs the Minimum Spanning Tree (MST) for an underlay that is modeled by a weighted tree. The weight of an overlay edge between two nodes is the weighted length of their shortest path in the tree. We rigorously prove that our protocol works correctly under asynchronous and non-FIFO message delivery. Further, the protocol stabilizes after O(N^2) asynchronous rounds where N is the number of nodes in the overlay.
AU - Götte, Thorsten
AU - Scheideler, Christian
AU - Setzer, Alexander
ID - 5222
T2 - Proceedings of the 20th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS 2018)
TI - On Underlay-Aware Self-Stabilizing Overlay Networks
VL - 11201
ER -