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arXiv · 1905.12233

Improved Analysis of Highest-Degree Branching for Feedback Vertex Set

Yoichi Iwata·Yusuke Kobayashi
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Abstract

Recent empirical evaluations of exact algorithms for Feedback Vertex Set have demonstrated the efficiency of a highest-degree branching algorithm with a degree-based pruning heuristic. In this paper, we prove that this empirically fast algorithm runs in $O(3.460^k n)$ time, where $k$ is the solution size. This improves the previous best $O(3.619^k n)$-time deterministic algorithm obtained by Kociumaka and Pilipczuk.

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Yoichi Iwata, Yusuke Kobayashi. 2019-05-29. Improved Analysis of Highest-Degree Branching for Feedback Vertex Set. https://arxiv.org/abs/1905.12233

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