It is obvious that for a bipartite graph to contain a perfect matching, it is necessary that |A| = |B|. Show that if every node has the same degree, then this is indeed so.
It is obvious that for a bipartite graph to contain a perfect matching, it is necessary that |A| = |B|. Show that if every node has the same degree, then this is indeed so.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.3: Logarithmic Functions And Their Graphs
Problem 137E
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It is obvious that for a bipartite graph to contain a perfect matching, it is necessary that |A| = |B|. Show that if every node has the same degree, then this is indeed so.
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