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.
|ジャーナル||Proceedings of the Japan Academy Series A: Mathematical Sciences|
|出版ステータス||Published - 2019 12月 1|
ASJC Scopus subject areas
- 数学 (全般)