Universal graph series, chromatic functions, and their index theory

Tsuyoshi Miezaki; Akihiro Munemasa; Yusaku Nishimura; Tadashi Sakuma; Shuhei Tsujie

doi:10.2969/jmsj/93359335

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Universal graph series, chromatic functions, and their index theory

Tsuyoshi Miezaki, Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, Shuhei Tsujie

著者情報

キーワード: universal graphs, symmetric functions

ジャーナル認証あり

2026 年 78 巻 2 号 p. 471-494

DOI https://doi.org/10.2969/jmsj/93359335

詳細

抄録

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.