# Tagged Questions

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### Vector chromatic number and Lovasz theta

For $\alpha \ge 2$, an $\alpha$-vector coloring of a graph $X$ is an assignment of unit vectors to the vertices of $X$ such that vectors assigned to adjacent vertices have inner product less than or ...

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### minimum rank - lovasz function inequality

hey,
does the following inequality holds for every graph?
$d(G)\geq\theta(G)$
while $\theta$ is the lovasz theta function and $d(G)$ is the minimum rank over all the matrices that represent the ...