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Results tagged with graph-theory
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user 88173
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
Looking for source: Max num of edges of graph with given number of vertices and given girth
I recommend you have a look at the excellent lecture notes of David Conlon, found at:
https://www.dpmms.cam.ac.uk/~dc340/Extremal-course.html
In particular you will be interested in Lectures 10 and …
6
votes
Determine or estimate the number of maximal triangle-free graphs on $n$ vertices
This question was recently solved by Balogh & Petrickova. Douglas Zare's bound is tight (apart from the $o(1)$ term). See http://arxiv.org/abs/1409.8123