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» Computing Tutte Polynomials
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DAM
2006
100views more  DAM 2006»
13 years 4 months ago
On the colored Tutte polynomial of a graph of bounded treewidth
We observe that a formula given by S. Negami [Trans. Amer. Math. Soc. 299 (1987), 601-622] for the Tutte polynomial of a k-sum of two graphs generalizes to a colored Tutte polynom...
Lorenzo Traldi
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
TOMS
2010
106views more  TOMS 2010»
13 years 3 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
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
GC
2008
Springer
13 years 4 months ago
A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We...
Beifang Chen, Arthur L. B. Yang, Terence Y. J. Zha...