Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs

被引：2

作者：

Avohou, Remi Cocou ^{[1
]}

机构：

[1] 072BP50, Cotonou, Benin

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2016年 / 12卷

关键词：

Tutte polynomial; Bollobas Riordan polynomial; graph polynomial invariant; colored graph; Ribbon graph; Euler characteristic;

D O I：

10.3842/SIGMA.2016.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Polynomials on stranded graphs are higher dimensional generalization of Tutte and Bollobas-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we deepen the analysis of the polynomial invariant defined on rank 3 weakly-colored stranded graphs introduced in arXiv:1301.1987. We successfully find in dimension D >= 3 a modified Euler characteristic with D 2 parameters. Using this modified invariant, we extend the rank 3 weakly-colored graph polynomial, and its main properties, on rank 4 and then on arbitrary rank D weakly-colored stranded graphs.

引用

页数：23

共 18 条

[11] Colored Group Field Theory [J].