Isometric embeddings of dual polar graphs in Grassmann graphs over finite fields

2015/10/04 by Mark Pankov, Pankov, Mark
Computer Science · Mathematics · #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1510.00930

This is a remark to Krotov D.S., Mogilnykh I.Yu., Potapov V.N., To the theory of $q$-ary Steiner and other-type trades, arXiv:1412.3792

arxiv created 2015/10/04 · openalex publication_date 2015/10/04 · arxiv updated 2015/10/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the Grassmann graphs and dual polar graphs over the same finite field and show that, up to graph automorphism, for every dual polar graph there is the unique isometric embedding in the corresponding Grassmann graph.

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