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
Universal traversal sequences for expander graphs
Information Processing Letters
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Universal Traversal Sequences with Backtracking
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
Graph exploration by a finite automaton
Theoretical Computer Science - Mathematical foundations of computer science 2004
Impact of memory size on graph exploration capability
Discrete Applied Mathematics
Memory Efficient Anonymous Graph Exploration
Graph-Theoretic Concepts in Computer Science
Tree exploration with logarithmic memory
ACM Transactions on Algorithms (TALG)
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The paper presents a simple construction of polynomial length universal traversal sequences for cycles. These universal traversal sequences are log-space (even NC1) constructible and are of length O(n4.03). Our result improves the previously known upper-bound O(n4.76) for log-space constructible universal traversal sequences for cycles.