   Chapter 10.6, Problem 2ES ### 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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# Find all possible spanning trees for each of the graphs in 1 and 2.2. To determine

To find:

All the possible spanning trees for the given graph. Explanation

Given information:

The given graph is shown below:

Definition Used:

Spanning Tree:

A spanning tree for a graph G is a sub-graph of G that contains every vertex of G and is a tree. A spanning tree does not have cycles and it cannot be disconnected graph.

m(n1) edges must be remove from a connected graph with n vertices and m edges to produce a spanning tree.

The graph G has two circuit v3v1v0v3andv3v2v1v3 and removal of any edges of the circuit give a tree.

The graph G has 4 vertices and 5 edges.

So, we have to remove 5(41)=2 edges

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