a. Draw an acyclic graph with 7 vertices and 4 components.b. Prove that if G is an acyclic graph with v vertices and 4 components, each of which is a tree, that G has v – 4edges.c. Draw a graph with 7 vertices and 6 edges that is not a tree.

Given G is an acyclic graph with v vertices and 4 components.

Answered: a. Draw an acyclic graph with 7…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a. Draw an acyclic graph with 7 vertices and 4 components. b. Prove that if G is an acyclic graph with v vertices and 4 components, each of which is a tree, that G has v – 4 edges. c. Draw a graph with 7 vertices and 6 edges that is not a tree.