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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ARCHIT CHAUHAN:
All reports by Author Archit Chauhan:

TR20-074 | 6th May 2020
Eric Allender, Archit Chauhan, Samir Datta

Depth-First Search in Directed Graphs, Revisited

We present an algorithm for constructing a depth-first search tree in planar digraphs; the algorithm can be implemented in the complexity class UL, which is contained in nondeterministic logspace NL, which in turn lies in NC^2. Prior to this (for more than a quarter-century), the fastest uniform deterministic parallel algorithm ... more >>>


TR19-039 | 12th March 2019
Eric Allender, Archit Chauhan, Samir Datta, Anish Mukherjee

Planarity, Exclusivity, and Unambiguity

Comments: 1

We provide new upper bounds on the complexity of the s-t-connectivity problem in planar graphs, thereby providing additional evidence that this problem is not complete for NL. This also yields a new upper bound on the complexity of computing edit distance. Building on these techniques, we provide new upper bounds ... more >>>




ISSN 1433-8092 | Imprint