Edge-Coloring Bipartite Graphs
نویسندگان
چکیده
منابع مشابه
Edge-Coloring Bipartite Graphs
Given a bipartite graph G with n nodes, m edges and maximum degree ∆, we find an edge coloring for G using ∆ colors in time T +O(m log ∆), where T is the time needed to find a perfect matching in a k-regular bipartite graph with O(m) edges and k ≤ ∆. Together with best known bounds for T this implies an O(m log ∆ + m ∆ log m ∆ log ∆) edge-coloring algorithm which improves on the O(m log ∆+ m ∆ ...
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It is a classical result from graph theory that the edges of an l{regular bipartite graph can be colored using exactly l colors so that edges that share an endpoint are assigned diierent colors. In this paper we study two constrained versions of the bipartite edge coloring problem. { Some of the edges adjacent to a pair of opposite vertices of an l-regular bipartite graph are already colored wi...
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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 2000
ISSN: 0196-6774
DOI: 10.1006/jagm.1999.1058