Mark Pankov

activity

20102023

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math.CO2010

Metric characterization of apartments in dual polar spaces

Mark Pankov

Let $Π$ be a polar space of rank $n$ and let $G_{k} (Π)$ , $k \in {0, \dots, n - 1}$ be the polar Grassmannian formed by $k$ -dimensional singular subspaces of $Π$ . The corres…

math.CO2010

Isometric embeddings of Johnson graphs in Grassmann graphs

Mark Pankov

Let $V$ be an $n$ -dimensional vector space ( $4 \leq n < \infty$ ) and let $G_{k} (V)$ be the Grassmannian formed by all $k$ -dimensional subspaces of $V$ . The corresponding Gr…