Finding the subgraphs of a simple graph.
I've been stumped trying to figure out how to solve this question and I've received conflicting advice. I'm wondering which is correct, and how do actually go about solving this question.
"Let G be a simple graph with m edges and n vertices. How many different subgraphs with n vertices does G have?"
I'm given the following equation for assistance:
If is a graph (directed or undirected), then is called a subgraph of G if and , where each edge in is incident with vertices in
Re: Finding the subgraphs of a simple graph.
This is a simple combinatorial problem. Each of the edges may or may not be included in a subgraph. That gives you possibilities. (The assumption is that isomorphism is not taken into consideration.)