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Polynomial Time Algorithms For Two Classes Of Subgraph Problem

机译:两类子图问题的多项式时间算法

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摘要

We design a O(n~3) polynomial time algorithm for finding a (k - 1)- regular subgraph in a k-regular graph without any induced star K_(1.3)(claw-free). A polynomial time algorithm for rinding a cubic subgraph in a 4-regular locally connected graph is also given. A family of fc-regular graphs with an induced star K_(1.3) (k even,k ≥ 6), not containing any (k - 1)-regular subgraph is also constructed.
机译:我们设计了一种O(n〜3)多项式时间算法,用于在k正则图中找到(k-1)-正则子图,而没有任何诱发星K_(1.3)(无爪)。还给出了将三次子图浸入4规则局部连接图中的多项式时间算法。还构造了一个fc-正则图族,其诱导星K_(1.3)(k even,k≥6),不包含任何(k --1)-正则子图。

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