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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.

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Subgraph avoiding colorings

Suppose $G$ has order [number of vertices] $n$, and contains $m$ copies of $H$ as subgraphs (in the special case $H = K_2$, $m$ will be the size of $G$), and label them $H_1, H_2, \ldots, H_m$. (Some …
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Condition(s) for the full autormophism group $\operatorname{Aut}(C(G, S))$ of the Cayley gra...

If $\Gamma = C(G, S)$ is the (undirected) Cayley graph of a finite group $G$ with generating set $S$, then $G \le \operatorname{Aut}(\Gamma)$, the "full" automorphism group of $\Gamma$. When is i …
M. Vinay's user avatar
  • 178