Title
On Tutte polynomial uniqueness of twisted wheels
Abstract
A graph G is called T-unique if any other graph having the same Tutte polynomial as G is isomorphic to G. Recently, there has been much interest in determining T-unique graphs and matroids. For example, de Mier and Noy [A. de Mier, M. Noy, On graphs determined by their Tutte polynomials, Graphs Combin. 20 (2004) 105-119; A. de Mier, M. Noy, Tutte uniqueness of line graphs, Discrete Math. 301 (2005) 57-65] showed that wheels, ladders, Mobius ladders, square of cycles, hypercubes, and certain class of line graphs are all T-unique. In this paper, we prove that the twisted wheels are also T-unique.
Year
DOI
Venue
2009
10.1016/j.disc.2008.01.039
Discrete Mathematics
Keywords
Field
DocType
twisted wheels,t -unique,tutte polynomial,t-unique,t,line graph
Tutte 12-cage,Discrete mathematics,Combinatorics,Tutte polynomial,Tutte theorem,Polyhedral graph,Nowhere-zero flow,Chromatic polynomial,Mathematics,Graph coloring,Tutte matrix
Journal
Volume
Issue
ISSN
309
4
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
7
Authors
3
Name
Order
Citations
PageRank
Yinghua Duan130.78
Haidong Wu2268.43
Qinglin Yu310220.73