Universal graph series, chromatic functions, and their index theory
Combinatorics
2025-01-22 v3 Rings and Algebras
Representation Theory
Abstract
In the present paper, we introduce the concept of universal graph series. We then present four invariants of graphs and discuss some of their properties. In particular, one of these invariants is a generalization of the chromatic symmetric function and a complete invariant for graphs.
Cite
@article{arxiv.2403.09985,
title = {Universal graph series, chromatic functions, and their index theory},
author = {Tsuyoshi Miezaki and Akihiro Munemasa and Yusaku Nishimura and Tadashi Sakuma and Shuhei Tsujie},
journal= {arXiv preprint arXiv:2403.09985},
year = {2025}
}
Comments
25 pages