Higher dimensional Moore bounds
Combinatorics
2009-06-04 v1
Abstract
We prove upper bounds on the face numbers of simplicial complexes in terms on their girths, in analogy with the Moore bound from graph theory. Our definition of girth generalizes the usual definition for graphs.
Cite
@article{arxiv.0906.0763,
title = {Higher dimensional Moore bounds},
author = {Michael Goff},
journal= {arXiv preprint arXiv:0906.0763},
year = {2009}
}