On the Tutte polynomial of benzenoid chains

被引:0
作者
Fath-Tabar, G. H. [1 ]
Gholam-Rezaei, Z. [1 ]
Ashrafi, A. R. [1 ]
机构
[1] Univ Kashan, Dept Math Stat & Comp Sci, Kashan 8731751167, Iran
来源
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2012年 / 3卷 / 02期
关键词
Benzenoid chain; Tutte polynomial; graph;
D O I
暂无
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The Tutte polynomial of a graph G, T( G,x,y) is a polynomial in two variables defined for every undirected graph contains information about how the graph is connected. In this paper a simple formula for computing Tutte polynomial of a benzenoid chain is presented.
引用
收藏
页码:113 / 119
页数:7
相关论文
共 50 条
[41]   On the evaluation at (−ι,ι) of the Tutte polynomial of a binary matroid [J].
R. A. Pendavingh .
Journal of Algebraic Combinatorics, 2014, 39 :141-152
[42]   The Tutte polynomial of the Sierpinski and Hanoi graphs [J].
Donno, Alfredo ;
Iacono, Donatella .
ADVANCES IN GEOMETRY, 2013, 13 (04) :663-694
[43]   Series and parallel reductions for the Tutte polynomial [J].
Traldi, L .
DISCRETE MATHEMATICS, 2000, 220 (1-3) :291-297
[44]   THE TUTTE POLYNOMIAL OF COMPLEX REFLECTION GROUPS [J].
Randriamaro, Hery .
CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2021, 16 (03) :42-64
[45]   Visualizing the Computation Tree of the Tutte Polynomial [J].
Thompson, Bennett ;
Pearce, David J. ;
Anslow, Craig ;
Haggard, Gary .
SOFTVIS 2008: PROCEEDINGS OF THE 4TH ACM SYMPOSIUM ON SOFTWARE VISUALIZATION, 2008, :211-212
[46]   On the evaluation at (-ι,ι) of the Tutte polynomial of a binary matroid [J].
Pendavingh, R. A. .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2014, 39 (01) :141-152
[47]   Partial graph orientations and the Tutte polynomial [J].
Backman, Spencer .
ADVANCES IN APPLIED MATHEMATICS, 2018, 94 :103-119
[48]   On the Compatible Sets Expansion of the Tutte Polynomial [J].
Laura Pierson .
Annals of Combinatorics, 2024, 28 :33-42
[49]   Generalized star configurations and the Tutte polynomial [J].
Benjamin Anzis ;
Mehdi Garrousian ;
Ştefan O. Tohǎneanu .
Journal of Algebraic Combinatorics, 2017, 46 :165-187
[50]   Schultz polynomial and modified Schultz polynomial of a random benzenoid chain [J].
He, Qing-Hua ;
Xu, Shou-Jun .
ARS COMBINATORIA, 2015, 120 :39-50