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Creators/Authors contains: "Chauhan, Archit"

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  1. ; ; (, Acta Informatica)
    Full Text Available 
  2. ; ; (, Leibniz international proceedings in informatics)
    Bonchi, Filippo; Puglisi, Simon J. (Ed.)
    We present an algorithm for constructing a depth-first search tree in planar digraphs; the algorithm can be implemented in the complexity class AC^1(UL ∩ co-UL), which is contained in AC^2. Prior to this (for more than a quarter-century), the fastest uniform deterministic parallel algorithm for this problem was O(log^10 n) (corresponding to the complexity class AC^10 ⊆ NC^11). We also consider the problem of computing depth-first search trees in other classes of graphs, and obtain additional new upper bounds. 
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  3. ; ; (, Electronic colloquium on computational complexity)
    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. Pior to this (for more than a quarter-century), the fastest uniform deterministic parallel algorithm for this problem was O(log^10 n) (corresponding to the complexity class AC^10 ⊆ NC^11). We also consider the problem of computing depth-first search trees in other classes of graphs, and obtain additional new upper bounds. 
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