Automorphism group of the subspace inclusion graph of a vector space
Combinatorics
2017-04-20 v1
Abstract
In a recent paper [Comm. Algebra, 44(2016) 4724-4731], Das introduced the graph , called subspace inclusion graph on a finite dimensional vector space , where the vertex set is the collection of nontrivial proper subspaces of and two vertices are adjacent if one is properly contained in another. Das studied the diameter, girth, clique number, and chromatic number of when the base field is arbitrary, and he also studied some other properties of when the base field is finite. In this paper, the automorphisms of are determined when the base field is finite.
Keywords
Cite
@article{arxiv.1704.05673,
title = {Automorphism group of the subspace inclusion graph of a vector space},
author = {Dein Wong and Xinlei Wang and Fenglei Tian},
journal= {arXiv preprint arXiv:1704.05673},
year = {2017}
}
Comments
10 pages