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arXiv · 2405.11584

On the treewidth of generalized q-Kneser graphs

Klaus Metsch
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Abstract

The generalized $q$-Kneser graph $K_q(n,k,t)$ for integers $k>t>0$ and $n>2k-t$ is the graph whose vertices are the $k$-dimensional subspaces of an $n$-dimensional $F_q$-vectorspace with two vertices $U_1$ and $U_2$ adjacent if and only if $\dim(U_1\cap U_2) t>0$ and $n\ge 3k-t+9$ is equal to $\gauss{n}{k}-\gauss{n-t}{k-t}-1$.

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Klaus Metsch. 2024-05-19. On the treewidth of generalized q-Kneser graphs. https://arxiv.org/abs/2405.11584

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