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For questions about mathematical problems arising from quantum mechanics, a branch of physics describing the behaviour of nature at very small scales, at the level of atoms and subatomic particles.

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Bounding a graph invariant

We are given a graph $G=(V,E)$, which has clique number $k$. The graph invariant in question is given by $$q_{\mathrm{a}}(G)=\min_T \min_{A\subset T} |T|-|A|$$ where $T$ is a transversal of the maxi …
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