Universal graph series, chromatic functions, and their index theory
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.
Authors
- Tadashi Sakuma (ORCID: https://orcid.org/0000-0001-6925-252X)
- Akihiro Munemasa (ORCID: https://orcid.org/0000-0002-2635-0733)
- Tsuyoshi Miezaki (ORCID: https://orcid.org/0000-0002-3656-9683)
- Shuhei Tsujie (ORCID: https://orcid.org/0000-0001-5805-910X)
- Yusaku Nishimura
Institutions
- Yamagata University (JP)
- Waseda University (JP)
- Hokkaido University of Education (JP)
- Tohoku University (JP)
Publication Details
- Journal
- Journal of the Mathematical Society of Japan
- Published
- 2025-08-18
- DOI
- https://doi.org/10.2969/jmsj/93359335
- Citations
- 1
- Primary Topic
- Graph Labeling and Dimension Problems
- Type
- article
- Field-Weighted Citation Impact
- 1.50