English

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

Combinatorics 2015-10-06 v1

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.

Keywords

Cite

@article{arxiv.1510.00930,
  title  = {Isometric embeddings of dual polar graphs in Grassmann graphs over finite fields},
  author = {Mark Pankov},
  journal= {arXiv preprint arXiv:1510.00930},
  year   = {2015}
}

Comments

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