Linear-Time Online Algorithm Inferring the Shortest Path from a Walk

June 26, 2018 Β· Declared Dead Β· πŸ› SPIRE

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Authors Shintaro Narisada, Diptarama Hendrian, Ryo Yoshinaka, Ayumi Shinohara arXiv ID 1806.09806 Category cs.DS: Data Structures & Algorithms Citations 1 Venue SPIRE Last Checked 4 months ago
Abstract
We consider the problem of inferring an edge-labeled graph from the sequence of edge labels seen in a walk of that graph. It has been known that this problem is solvable in $O(n \log n)$ time when the targets are path or cycle graphs. This paper presents an online algorithm for the problem of this restricted case that runs in $O(n)$ time, based on Manacher's algorithm for computing all the maximal palindromes in a string.
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