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arXiv · 1010.2833

Improved Complexity Bound of Vertex Cover for Low degree Graph

Weiya Yue·John Franco·Weiwei Cao
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Abstract

In this paper, we use a new method to decrease the parameterized complexity bound for finding the minimum vertex cover of connected max-degree-3 undirected graphs. The key operation of this method is reduction of the size of a particular subset of edges which we introduce in this paper and is called as "real-cycle" subset. Using "real-cycle" reductions alone we compute a complexity bound $O(1.15855^k)$ where $k$ is size of the optimal vertex cover. Combined with other techniques, the complexity bound can be further improved to be $O(1.1504^k)$. This is currently the best complexity bound.

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Weiya Yue, John Franco, Weiwei Cao. 2010-10-14. Improved Complexity Bound of Vertex Cover for Low degree Graph. https://arxiv.org/abs/1010.2833

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