Let G be a simple graph with n vertices. Show that a) G is a tree if
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a) G is a tree if and only if it is connected and has n - 1 edges.
b) G is a tree if and only if G has no simple circuits and has n − 1 edges.
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a We will prove this statement using mathematical induction on n the number of vertices of G This exercise can also be done by using Exercise 14 and T...View the full answer
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Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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