A generalization of the tutte polynomials

Tsuyoshi Miezaki, Manabu Oura, Tadashi Sakuma, Hidehiro Shinohara

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this paper, we introduce the concept of the Tutte polynomials of genus g and discuss some of its properties. We note that the Tutte polynomials of genus one are wellknown Tutte polynomials. The Tutte polynomials are matroid invariants, and we claim that the Tutte polynomials of genus g are also matroid invariants. The main result of this paper and the forthcoming paper declares that the Tutte polynomials of genus g are complete matroid invariants.

本文言語English
ページ(範囲)111-113
ページ数3
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
95
10
DOI
出版ステータスPublished - 2019 12 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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