   Chapter 10.6, Problem 21ES ### 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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# a. Suppose T 1 and T 2 are two different spanning trees for a graph G. Must T 1 and T 2 have an edge in common? Prove or give a counterexample. b. Suppose that the graph G in part (a) is simple. Must T 1 and T 2 have an edge in common? Prove or give a counterexample.

To determine

(a)

To check:

If T1 and T2 are two different spanning trees of a graph G, then whether T1 and T2 should always have an edge in common.

Explanation

Given information:

T1 and T2 are two different spanning trees for a graph G.

Calculation:

Counterexample: consider a graph G as shown below:

To determine

(b)

To check:

If the graph G in part (a) is simple, then whether T1and T2 should always have an edge in common.

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