Sciweavers

110 search results - page 2 / 22
» Chain polynomials and Tutte polynomials
Sort
View
JCT
2008
59views more  JCT 2008»
13 years 5 months ago
The Jones polynomial and graphs on surfaces
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li...
Oliver T. Dasbach, David Futer, Efstratia Kalfagia...
ENDM
2007
89views more  ENDM 2007»
13 years 5 months ago
Homomorphisms and Polynomial Invariants of Graphs
This paper initiates a study of the connection between graph homomorphisms and the Tutte polynomial. This connection enables us to extend the study to other important polynomial i...
Delia Garijo, Jaroslav Nesetril, M. P. Revuelta
EJC
2011
12 years 8 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
WG
2005
Springer
13 years 10 months ago
Computing the Tutte Polynomial on Graphs of Bounded Clique-Width
The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. Th...
Omer Giménez, Petr Hlinený, Marc Noy
CIE
2006
Springer
13 years 9 months ago
From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky