Embeddings of Grassmann graphs

Details Embeddings of Grassmann graphs Embeddings of Grassmann graphs

2011-09-26

arxiv.org/abs/1109.5624v1

Mathematics

Combinatorics

Scientific paper

Let $V$ and $V'$ be vector spaces of dimension $n$ and $n'$, respectively.
Let $k\in\{2,...,n-2\}$ and $k'\in\{2,...,n'-2\}$. We describe all isometric
and $l$-rigid isometric embeddings of the Grassmann graph $\Gamma_{k}(V)$ in
the Grassmann graph $\Gamma_{k'}(V')$.

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