Improved Analysis of Highest-Degree Branching for Feedback Vertex Set

May 29, 2019 Β· Declared Dead Β· πŸ› Algorithmica

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Authors Yoichi Iwata, Yusuke Kobayashi arXiv ID 1905.12233 Category cs.DS: Data Structures & Algorithms Citations 35 Venue Algorithmica Last Checked 3 months ago
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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