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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.

2 votes

Does an $(x, bx)$-biregular graph always contain a $x$-regular bipartite subgraph?

Here is a heuristic reason why such a claim cannot hold. I cannot make the claim rigorous as I don't know enough about random biregular bipartite graphs. If the claim indeed holds, then for any $(x, b …
abacaba's user avatar
  • 384
11 votes
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Number of triangle-free graphs with prescribed number of edges

This question is posted from StackExchange since it received no answer there. Let $f(n, e)$ be the number of triangle-free graphs on $n$ vertices and $e$ edges. From empirical evidence, I am motivated …
abacaba's user avatar
  • 384