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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

3 votes
2 answers
542 views

An upper bound for the number of non-isomorphic graphs having exactly $m$ edges and no isola...

I asked this question in stackexchange a few days back (https://math.stackexchange.com/questions/2741806/bounding-the-number-of-non-isomorphic-graphs-having-m-edges-and-no-isolated-ve?noredirect=1#com …
abcd's user avatar
  • 367
1 vote
0 answers
63 views

Limit of $\alpha n$-regular graphs

I have a quick question about a graph limit problem. If I have a sequence of dense $d_n$-regular graphs on $n$ vertices (assume that $\frac{d_n}{n} \rightarrow \alpha > 0$), what is the limiting graph …
abcd's user avatar
  • 367
7 votes
1 answer
199 views

A Question on Graph Limits

I have a somewhat technical question about the concept of graph limits: Suppose that $G_n$ is a sequence of labelled, simple, unweighted graphs, and let $W_n$ denote the graphon of $G_n$ (i.e. $W_n(x …
abcd's user avatar
  • 367