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MFCS '92 Proceedings of the 17th International Symposium on Mathematical Foundations of Computer Science
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RANDOM '02 Proceedings of the 6th International Workshop on Randomization and Approximation Techniques
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CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
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FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
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Symmetric Logspace is Closed Under Complement
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Universal Traversal Sequences with Backtracking
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
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FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
On traversal sequences, exploration sequences and completeness of kolmogorov random strings
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An O(log n log log n) space algorithm for undirected st-connectivity
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
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SIGACT news complexity theory column 51
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STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Fast periodic graph exploration with constant memory
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Computational Complexity
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FAW '08 Proceedings of the 2nd annual international workshop on Frontiers in Algorithmics
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ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Pure Pointer Programs with Iteration
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Graph-Theoretic Concepts in Computer Science
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SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
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Constant-Working-Space Algorithms for Image Processing
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On Construction of Almost-Ramanujan Graphs
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Derandomizing Random Walks in Undirected Graphs Using Locally Fair Exploration Strategies
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Information and Computation
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Reachability In K3,3-free graphs and K5-free graphs is in unambiguous log-space
FCT'09 Proceedings of the 17th international conference on Fundamentals of computation theory
Pure pointer programs with iteration
ACM Transactions on Computational Logic (TOCL)
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CSR'08 Proceedings of the 3rd international conference on Computer science: theory and applications
A logspace algorithm for partial 2-tree canonization
CSR'08 Proceedings of the 3rd international conference on Computer science: theory and applications
Longest paths in planar DAGs in unambiguous logspace
CATS '09 Proceedings of the Fifteenth Australasian Symposium on Computing: The Australasian Theory - Volume 94
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CP'10 Proceedings of the 16th international conference on Principles and practice of constraint programming
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ACM Transactions on Database Systems (TODS)
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DISC'11 Proceedings of the 25th international conference on Distributed computing
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SIAM Journal on Computing
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SIAM Journal on Computing
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FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
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STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
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SIROCCO'06 Proceedings of the 13th international conference on Structural Information and Communication Complexity
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CiE'06 Proceedings of the Second conference on Computability in Europe: logical Approaches to Computational Barriers
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Computational Geometry: Theory and Applications
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ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
Derandomized constructions of k-wise (almost) independent permutations
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FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
The directed planar reachability problem
FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
The complexity of satisfiability problems: refining Schaefer's theorem
MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
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SIROCCO'05 Proceedings of the 12th international conference on Structural Information and Communication Complexity
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CSR'10 Proceedings of the 5th international conference on Computer Science: theory and Applications
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ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
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More efficient periodic traversal in anonymous undirected graphs
Theoretical Computer Science
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CSR'07 Proceedings of the Second international conference on Computer Science: theory and applications
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CSL'07/EACSL'07 Proceedings of the 21st international conference, and Proceedings of the 16th annuall conference on Computer Science Logic
Span programs and quantum algorithms for st-connectivity and claw detection
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Discrete Applied Mathematics
Balancing Bounded Treewidth Circuits
Theory of Computing Systems
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We present a deterministic, log-space algorithm that solves st-connectivity in undirected graphs. The previous bound on the space complexity of undirected st-connectivity was log4/3 obtained by Armoni, Ta-Shma, Wigderson and Zhou [9]. As undirected st-connectivity is complete for the class of problems solvable by symmetric, non-deterministic, log-space computations (the class SL), this algorithm implies that SL = L (where L is the class of problems solvable by deterministic log-space computations). Independent of our work (and using different techniques), Trifonov [45] has presented an O(log n log log n)-space, deterministic algorithm for undirected st-connectivity.Our algorithm also implies a way to construct in log-space a fixed sequence of directions that guides a deterministic walk through all of the vertices of any connected graph. Specifically, we give log-space constructible universal-traversal sequences for graphs with restricted labelling and log-space constructible universal-exploration sequences for general graphs.