Exercise 2 Consider a bipartite graph G = G(X,Y) such that X| = |Y| = m and d(v) > VEG.Show that G has a perfect matching. Exercise 3 Show that G is 2-colorable if and only if Gis bipartite.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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perfect matching graph theory
Exercise 2 Consider a bipartite graph G = G(X,Y) such that |X| = |Y| = m and d(v) >
VvE G. Show that G has a perfect matching.
Exercise 3 Show that G is 2-colorable if and only if Gis bipartite.
Transcribed Image Text:Exercise 2 Consider a bipartite graph G = G(X,Y) such that |X| = |Y| = m and d(v) > VvE G. Show that G has a perfect matching. Exercise 3 Show that G is 2-colorable if and only if Gis bipartite.
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