Exercise 1 Consider a bipartite graph G = G(X,Y) such that |X| = |Y| = m. 1) Show that G has a perfect matching if a(G) = m. 2) Show that if 8(G) 2, then G has a perfect matching. 1
Exercise 1 Consider a bipartite graph G = G(X,Y) such that |X| = |Y| = m. 1) Show that G has a perfect matching if a(G) = m. 2) Show that if 8(G) 2, then G has a perfect matching. 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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graph theory part 2 matching
Transcribed Image Text:Exercise 1 Consider a bipartite graph G = G(X,Y) such that |X|=|Y| = m.
1) Show that G has a perfect matching if a(G) = m.
2) Show that if 8(G) ≥, then G has a perfect matching.
1
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