Purchase Solution

Forest and subgraph

Not what you're looking for?

Ask Custom Question

3.2 prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.

Please can you explain in here when the graph G is a forest and induced subgraph.

Purchase this Solution

Solution Summary

This is an example of a proof regarding forest and subgraph.

Solution Preview

A forest is a graph which has no cycles. The difference between a forest and a tree is that a tree is a connected graph with no cycles, while a forest may be disconnected; thus, every tree is a forest but not every forest is a tree.

An induced subgraph of a graph G is the subgraph obtained by taking some vertices in G and all of the edges between those vertices.

First we prove that if G is a forest, every induced ...

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.