(iv) G is a tree if and only if G contains at least onepath between any two vertices.(v) If G is connected, then G is a tree if and only if Gcontains at most one path between any two vertices.(vi) A connected subgraph of a tree is always a tree. Let G be a connected graph with n vertices and mWhich of the following statements are true?edges.

A graph which has only one vertices between all nodes of a graph is called as tree. A tree can be…

Answered: path between any two vertices. v) If G…

path between any two vertices. v) If G is connected, then G is a tree if and only if G contains at most one path between any two vertices.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

(iv) G is a tree if and only if G contains at least one
path between any two vertices.
(v) If G is connected, then G is a tree if and only if G
contains at most one path between any two vertices.
(vi) A connected subgraph of a tree is always a tree.

Let G be a connected graph with n vertices and m
Which of the following statements are true?
edges.

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