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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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 …
Joe Fitzsimons's user avatar
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 …
Joe Fitzsimons's user avatar