Math Problem Statement

Prove: If G is a connected graph with n vertices and (n-1)edges, then G is a tree. (Hint: think about the spanning tree of G )

Solution

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Math Problem Analysis

Mathematical Concepts

Graph Theory
Trees
Spanning Trees

Formulas

Number of edges in a tree = n - 1 (for n vertices)

Theorems

Properties of Trees
Spanning Tree Theorem

Suitable Grade Level

Undergraduate Level