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A generalization of the Tutte polynomials.

Authors :
Tsuyoshi MIEZAKI
Manabu OURA
Tadashi SAKUMA
Hidehiro SHINOHARA
Source :
Proceedings of the Japan Academy, Series A: Mathematical Sciences; Dec2019, Vol. 95 Issue 10, p111-113, 3p
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POLYNOMIALS
GENERALIZATION
MATROIDS

Details

Language :
English
ISSN :
03862194
Volume :
95
Issue :
10
Database :
Complementary Index
Journal :
Proceedings of the Japan Academy, Series A: Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
140224499
Full Text :
https://doi.org/10.3792/pjaa.95.111