   Chapter 10.6, Problem 17ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Prove part (2) of Proposition 10.6.1: Any two spanning trees for a graph have the same number of edges.

To determine

The proof of the given statement about spanning tree.

Explanation

Given information:

A proposition is given as,

Any two spanning trees for a graph have the same number of edges.

Calculation:

Let a Graph is given as G=(V,E) where V represents the set of vertices and E set of edges.

Spanning tree of a graph is a tree which covers all the vertices.

Let S1 and S2 are two spanning trees for the given graph G.

By the definition of tree, it should have |V|1 edges

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