Problems complete for deterministic logarithmic space
Journal of Algorithms
Parallel ear decomposition search (EDS) and st-numbering in graphs
Theoretical Computer Science
The method of forced enumeration for nondeterministic automata
Acta Informatica
Nondeterministic space is closed under complementation
SIAM Journal on Computing
Proceedings of the 30th IEEE symposium on Foundations of computer science
Boolean complexity classes vs. their arithmetic analogs
Proceedings of the seventh international conference on Random structures and algorithms
Counting quantifiers, successor relations, and logarithmic space
Journal of Computer and System Sciences - special issue on complexity theory
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Randomization and Derandomization in Space-Bounded Computation
CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
Making nondeterminism unambiguous
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Random walks, universal traversal sequences, and the complexity of maze problems
SFCS '79 Proceedings of the 20th Annual Symposium on Foundations of Computer Science
Undirected connectivity in O(log/sup 1.5/n) space
SFCS '92 Proceedings of the 33rd Annual Symposium on Foundations of Computer Science
Journal of Computer and System Sciences
Relationships between nondeterministic and deterministic tape complexities
Journal of Computer and System Sciences
A combinatorial algorithm for Pfaffians
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
Paths Problems in Symmetric Logarithmic Space
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Space Efficient Algorithms for Series-Parallel Graphs
STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
TAMC'11 Proceedings of the 8th annual conference on Theory and applications of models of computation
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We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely conjectured that L = SL [25]. The upper bound of SL matches the lower bound of L in the context of (nonuniform) circuit complexity, since L/poly is equal to SL/poly. Similarly, we show that a planar embedding, when one exists, can be found in FLSL. Previously, these problems were known to reside in the complexity class AC1, via a O(log n) time CRCW PRAM algorithm [22], although planarity checking for degree-three graphs had been shown to be in SL [23, 20].