(Quasi-)linear time algorithm to compute LexDFS, LexUP and LexDown orderings

January 02, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Arthur Milchior arXiv ID 1701.00305 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We consider the three graph search algorithm LexDFS, LexUP and LexDOWN. We show that LexUP orderings can be computed in linear time by an algorithm similar to the one which compute LexBFS. Furthermore, LexDOWN orderings and LexDFS orderings can be computed in time $\left(n+m\log m\right)$ where $n$ is the number of vertices and $m$ the number of edges.
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