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arXiv · 2403.09985

Universal graph series, chromatic functions, and their index theory

Tsuyoshi Miezaki·Akihiro Munemasa·Yusaku Nishimura·Tadashi Sakuma·Shuhei Tsujie
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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.

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Tsuyoshi Miezaki, Akihiro Munemasa, Yusaku Nishimura, Tadashi Sakuma, Shuhei Tsujie. 2025-01-21. Universal graph series, chromatic functions, and their index theory. https://arxiv.org/abs/2403.09985

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