Universal traversal sequences for paths and cycles
Journal of Algorithms
Universal traversal sequences of length nO(log n) for cliques
Information Processing Letters
Polynomial universal traversing sequences for cycles are constructible
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
SIAM Journal on Computing
Multiparty protocols and logspace-hard pseudorandom sequences
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Universal sequences for complete graphs
Discrete Applied Mathematics - Computational combinatiorics
Universal traversal sequences for expander graphs
Information Processing Letters
Pseudorandomness for network algorithms
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Piecemeal Learning of an Unknown Environment
Machine Learning - Special issue on COLT '93
Lower bounds on universal traversal sequences based on chains of length five
Information and Computation
Piecemeal graph exploration by a mobile robot (extended abstract)
COLT '95 Proceedings of the eighth annual conference on Computational learning theory
How to learn an unknown environment. I: the rectilinear case
Journal of the ACM (JACM)
The power of a pebble: exploring and mapping directed graphs
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Exploring unknown undirected graphs
Journal of Algorithms
Exploring Unknown Environments
SIAM Journal on Computing
Optimal constrained graph exploration
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Universal Traversal Sequences with Backtracking
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
Tree exploration with little memory
Journal of Algorithms
Undirected ST-connectivity in log-space
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Graph exploration by a finite automaton
Theoretical Computer Science - Mathematical foundations of computer science 2004
Journal of Graph Theory
Label-guided graph exploration by a finite automaton
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Space lower bounds for graph exploration via reduced automata
SIROCCO'05 Proceedings of the 12th international conference on Structural Information and Communication Complexity
Map construction of unknown graphs by multiple agents
Theoretical Computer Science
Fast periodic graph exploration with constant memory
Journal of Computer and System Sciences
Label-guided graph exploration by a finite automaton
ACM Transactions on Algorithms (TALG)
Remembering without Memory: Tree Exploration by Asynchronous Oblivious Robots
SIROCCO '08 Proceedings of the 15th international colloquium on Structural Information and Communication Complexity
Deterministic Rendezvous in Trees with Little Memory
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Memory Efficient Anonymous Graph Exploration
Graph-Theoretic Concepts in Computer Science
Derandomizing Random Walks in Undirected Graphs Using Locally Fair Exploration Strategies
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Robustness of the Rotor-router Mechanism
OPODIS '09 Proceedings of the 13th International Conference on Principles of Distributed Systems
Multi-robot tree and graph exploration
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Remembering without memory: Tree exploration by asynchronous oblivious robots
Theoretical Computer Science
Fast periodic graph exploration with constant memory
SIROCCO'07 Proceedings of the 14th international conference on Structural information and communication complexity
SIROCCO'07 Proceedings of the 14th international conference on Structural information and communication complexity
Computing without communicating: ring exploration by asynchronous oblivious robots
OPODIS'07 Proceedings of the 11th international conference on Principles of distributed systems
Delays induce an exponential memory gap for rendezvous in trees
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
How to meet when you forget: log-space rendezvous in arbitrary graphs
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
The cover time of deterministic random walks
COCOON'10 Proceedings of the 16th annual international conference on Computing and combinatorics
DISC'10 Proceedings of the 24th international conference on Distributed computing
An agent exploration in unknown undirected graphs with whiteboards
Proceedings of the Third International Workshop on Reliability, Availability, and Security
Black hole search in directed graphs
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
An improved strategy for exploring a grid polygon
SIROCCO'09 Proceedings of the 16th international conference on Structural Information and Communication Complexity
Space-optimal rendezvous of mobile agents in asynchronous trees
SIROCCO'10 Proceedings of the 17th international conference on Structural Information and Communication Complexity
Periodic data retrieval problem in rings containing a malicious host
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
Collaborative search on the plane without communication
PODC '12 Proceedings of the 2012 ACM symposium on Principles of distributed computing
Deterministic network exploration by anonymous silent agents with local traffic reports
ICALP'12 Proceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II
Randomized rendezvous of mobile agents in anonymous unidirectional ring networks
SIROCCO'12 Proceedings of the 19th international conference on Structural Information and Communication Complexity
Memory lower bounds for randomized collaborative search and implications for biology
DISC'12 Proceedings of the 26th international conference on Distributed Computing
Delays Induce an Exponential Memory Gap for Rendezvous in Trees
ACM Transactions on Algorithms (TALG)
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We consider the task of network exploration by a mobile agent (robot) with small memory. The agent has to traverse all nodes and edges of a network (represented as an undirected connected graph), and return to the starting node. Nodes of the network are unlabeled and edge ports are locally labeled at each node. The agent has no a priori knowledge of the topology of the network or of its size, and cannot mark nodes in any way. Under such weak assumptions, cycles in the network may prevent feasibility of exploration, hence we restrict attention to trees. We present an algorithm to accomplish tree exploration (with return) using O(log n)-bit memory for all n-node trees. This strengthens the result from [15], where O(log2 n)-bit memory was used for tree exploration, and matches the lower bound on memory size proved there.