Bipartite edge - colouring in O ( m ) time 1
نویسنده
چکیده
We show that a minimum edge-colouring of a bipartite graph can be found in O((m) time, where and m denote the maximum degree and the number of edges of G, respectively. It is equivalent to nding a perfect matching in a k-regular bipartite graph in O(km) time. By sharpening the methods, a minimum edge-colouring of a bipartite graph can be found in O((p max (() + log)m) time, where p max (() is the largest prime factor of. Moreover, a perfect matching in a k-regular bipartite graph can be found in O(p max (k)m) time.
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