Analysis of approximate algorithms for edge-coloring bipartite graphs
نویسندگان
چکیده
منابع مشابه
Analysis of Approximate Algorithms for Edge-Coloring Bipartite Graphs
The problem of edge coloring a bipartite graph is to color the edges so that adjacent edges receive di erent colors An optimal algorithm uses the minimum number of colors to color the edges We consider several approximation algorithms for edge coloring bipartite graphs and show tight bounds on the number of colors they use in the worst case We also present results on the constrained edge colori...
متن کاملAnalysis of Approximate Algorithms for Constrained and Unconstrained Edge-coloring of Bipartite Graphs Applied Research Bellcore
The problem of edge coloring a bipartite graph is to color the edges so that adjacent edges receive di erent colors An optimal algorithm uses the minimum number of colors to color the edges We consider several approximation algorithms for edge coloring bipartite graphs and show tight bounds on the number of colors they use in the worst case We also brie y consider the constrained edge coloring ...
متن کاملEdge-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 ∆ ...
متن کاملApproximate Constrained Bipartite Edge Coloring
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متن کاملEdge Coloring Bipartite Graphs Eeciently
The chromatic index of a bipartite graph equals the maximal degree of its vertices. The straightforward way to compute the corresponding edge coloring using colors, requires O((2 n 3=2) time. We will show that a simple divide & conquer algorithm only requires O((3=2 n 3=2) time. This algorithm uses an algorithm for perfect k-matching in regular bipartite graphs as a sub-routine. We will show th...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 1995
ISSN: 0020-0190
DOI: 10.1016/0020-0190(95)00013-3