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arXiv · 1806.09806

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

Shintaro Narisada·Diptarama Hendrian·Ryo Yoshinaka·Ayumi Shinohara
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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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Shintaro Narisada, Diptarama Hendrian, Ryo Yoshinaka, Ayumi Shinohara. 2018-06-26. Linear-Time Online Algorithm Inferring the Shortest Path from a Walk. https://arxiv.org/abs/1806.09806

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