Problems complete for deterministic logarithmic space
Journal of Algorithms
A random polynomial time algorithm for approximating the volume of convex bodies
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Token management schemes and random walks yield self-stabilizing mutual exclusion
PODC '90 Proceedings of the ninth annual ACM symposium on Principles of distributed computing
Random walks on weighted graphs, and applications to on-line algorithms
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Collisions among random walks on a graph
SIAM Journal on Discrete Mathematics
Rendezvous Search on the Line With Distinguishable Players
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Rendezvous Search on the Line with Indistinguishable Players
SIAM Journal on Control and Optimization
Minimax Rendezvous on the Line
SIAM Journal on Control and Optimization
Asymmetric rendezvous on the plane
Proceedings of the fourteenth annual symposium on Computational geometry
SIAM Journal on Control and Optimization
Agent Rendezvous: A Dynamic Symmetry-Breaking Problem
ICALP '96 Proceedings of the 23rd International Colloquium on Automata, Languages and Programming
Gathering of Asynchronous Oblivious Robots with Limited Visibility
STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
Operations Research
Two Dimensional Rendezvous Search
Operations Research
Mobile Agent Rendezvous in a Ring
ICDCS '03 Proceedings of the 23rd International Conference on Distributed Computing Systems
Tree exploration with little memory
Journal of Algorithms
Asynchronous deterministic rendezvous in graphs
Theoretical Computer Science
Deterministic Rendezvous in Graphs
Algorithmica
Tree exploration with logarithmic memory
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Random walks, universal traversal sequences, and the complexity of maze problems
SFCS '79 Proceedings of the 20th Annual Symposium on Foundations of Computer Science
Randomized rendez-vous with limited memory
LATIN'08 Proceedings of the 8th Latin American conference on Theoretical informatics
How to meet in anonymous network
SIROCCO'06 Proceedings of the 13th international conference on Structural Information and Communication Complexity
Tell me where i am so i can meet you sooner: asynchronous rendezvous with location information
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Rendezvous of mobile agents without agreement on local orientation
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Deterministic rendezvous of asynchronous bounded-memory agents in polygonal terrains
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
How much memory is needed for leader election
DISC'10 Proceedings of the 24th international conference on Distributed computing
Rendezvous of mobile agents in directed graphs
DISC'10 Proceedings of the 24th international conference on Distributed computing
DISC'10 Proceedings of the 24th international conference on Distributed computing
Constructing a map of an anonymous graph: applications of universal sequences
OPODIS'10 Proceedings of the 14th international conference on Principles of distributed systems
DISC 2011 invited lecture: deterministic rendezvous in networks: survey of models and results
DISC'11 Proceedings of the 25th international conference on Distributed computing
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Space-optimal rendezvous of mobile agents in asynchronous trees
SIROCCO'10 Proceedings of the 17th international conference on Structural Information and Communication Complexity
Mobile robots gathering algorithm with local weak multiplicity in rings
SIROCCO'10 Proceedings of the 17th international conference on Structural Information and Communication Complexity
Decidability classes for mobile agents computing
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
Time vs. space trade-offs for rendezvous in trees
Proceedings of the twenty-fourth annual ACM symposium on Parallelism in algorithms and architectures
Time of anonymous rendezvous in trees: determinism vs. randomization
SIROCCO'12 Proceedings of the 19th international conference on Structural Information and Communication Complexity
Brief announcement: mobile agent rendezvous on edge evolving rings
SSS'12 Proceedings of the 14th international conference on Stabilization, Safety, and Security of Distributed Systems
Delays Induce an Exponential Memory Gap for Rendezvous in Trees
ACM Transactions on Algorithms (TALG)
Linear time and space gathering of anonymous mobile agents in asynchronous trees
Theoretical Computer Science
How to meet asynchronously at polynomial cost
Proceedings of the 2013 ACM symposium on Principles of distributed computing
Deterministic polynomial approach in the plane
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part II
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We study the size of memory of mobile agents that permits to solve deterministically the rendezvous problem, i.e., the task of meeting at some node, for two identical agents moving from node to node along the edges of an unknown anonymous connected graph. The rendezvous problem is unsolvable in the class of arbitrary connected graphs, as witnessed by the example of the cycle. Hence we restrict attention to rendezvous in trees, where rendezvous is feasible if and only if the initial positions of the agents are not symmetric. We prove that the minimum memory size guaranteeing rendezvous in all trees of size at most nis 茂戮驴(logn) bits. The upper bound is provided by an algorithm for abstract state machines accomplishing rendezvous in all trees, and using O(logn) bits of memory in trees of size at most n. The lower bound is a consequence of the need to distinguish between up to n茂戮驴 1 links incident to a node. Thus, in the second part of the paper, we focus on the potential existence of pairs of finiteagents (i.e., finite automata) capable of accomplishing rendezvous in all bounded degreetrees. We show that, as opposed to what has been proved for the graph exploration problem, there are no finite agents capable of accomplishing rendezvous in all bounded degree trees.