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.© BrainMass Inc. brainmass.com March 4, 2021, 7:24 pm ad1c9bdddf
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 ...
This is an example of a proof regarding forest and subgraph.