A graph with n vertices is a tree if and only if it has n - 1 edges and has no cycles. Data from Prob. 16 If a graph has no cycles, it must have at least 2 vertices of degree 1 Data from Prob. 18 A tree with n vertices has n - 1 edges. (Proof by induction.)

Chapter 23, PROBLEM SET 23.4 #20

A graph with n vertices is a tree if and only if it has n - 1 edges and has no cycles.

Data from Prob. 16

If a graph has no cycles, it must have at least 2 vertices of degree 1

Data from Prob. 18

A tree with n vertices has n - 1 edges. (Proof by induction.)

This problem has been solved!


Do you need an answer to a question different from the above? Ask your question!
Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365