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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
Inequality involving size of nodes & min degree of graph
$G$ above corresponds to an $n$-dimensional hypercube, so $G'=(V',E')$ is necessarily a subgraph of the hypercube. Let $v$ be any vertex in $V'$ (and hence also in $V$). Note that in a hypercube the n …
4
votes
Local complementation in undirected graphs
I am not sure whether you realise this, but the problem you pose is closely related to a problem which has been studied quite widely in connection with measurement based quantum computation (MBQC). I …