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Edge coloring bipartite graphs

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posted Jul 11 '12

kintali gravatar image Shiva Kintali flag of United States
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updated Aug 12 '12

Prove the following :

  • If $G$ is a regular bipartite graph, then $G$ has a perfect matching.

  • If $G$ is $k$-regular bipartite graph then it has an edge coloring using exactly $k$ colors.

  • If $G$ is a bipartite graph with maximum degree $\Delta$ then it has an edge coloring using exactly $\Delta$ colors.

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Posted: Jul 11 '12

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