Smith and Critical groups of Polar Graphs
Combinatorics
2020-01-30 v3 Representation Theory
Abstract
We compute the elementary divisors of the adjacency and Laplacian matrices of families of polar graphs. These graphs have as vertices the isotropic one-dimensional subspaces of finite vector spaces with respect to non-degenerate forms, with adjacency given by orthogonality.
Keywords
Cite
@article{arxiv.1706.08175,
title = {Smith and Critical groups of Polar Graphs},
author = {Venkata Raghu Tej Pantangi and Peter Sin},
journal= {arXiv preprint arXiv:1706.08175},
year = {2020}
}