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Results tagged with graph-theory
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user 272040
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.
6
votes
Connected geometric thickness two
Disclaimer. This answer does not solve the problem. I decided it is probably more useful to keep my answer here, but please know it is just a long comment.
Notation. For a graph $(V,E)$, we call $e=|E …
- 1,065
3
votes
1
answer
149
views
Sharp upper bound of the number of edges for graphs of thickness two
A graph $G=(V,E)$ has thickness $2$ if $E$ can be written as a disjoint union $E=E_1\cup E_2$ so that $G_1:=(V,E_1),G_2:=(V,E_2)$ are planar graphs. For instance, $K_5$ has thickness $2$. It is known …
- 1,065