English

On the eigenvalues of Grassmann graphs, Bilinear forms graphs and Hermitian forms graphs

Combinatorics 2021-02-23 v1 Discrete Mathematics

Abstract

Recently, Brouwer, Cioab\u{a}, Ihringer and McGinnis obtained some new results involving the eigenvalues of various graphs coming from association schemes and posed some conjectures related to the eigenvalues of Grassmann graphs, bilinear forms graphs and Hermitian forms graphs. In this paper, we prove some of their conjectures.

Keywords

Cite

@article{arxiv.2102.10155,
  title  = {On the eigenvalues of Grassmann graphs, Bilinear forms graphs and Hermitian forms graphs},
  author = {Sebastian M. Cioabă and Himanshu Gupta},
  journal= {arXiv preprint arXiv:2102.10155},
  year   = {2021}
}

Comments

22 pages

R2 v1 2026-06-23T23:20:29.900Z