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» Chain polynomials and Tutte polynomials
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DM
2002
96views more  DM 2002»
13 years 10 months ago
Chain polynomials and Tutte polynomials
The recently introduced chain and sheaf polynomials of a graph are shown to be essentially equivalent to a weighted version of the Tutte polynomial. c 2002 Elsevier Science B.V. A...
Lorenzo Traldi
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 11 months ago
Inapproximability of the Tutte polynomial
Leslie Ann Goldberg, Mark Jerrum
DAM
2006
100views more  DAM 2006»
13 years 11 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
MST
2008
141views more  MST 2008»
13 years 10 months ago
From a Zoo to a Zoology: Towards a General Theory of 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
CPC
2006
72views more  CPC 2006»
13 years 11 months ago
Parametrized Tutte Polynomials of Graphs and Matroids
We generalize and unify results on parametrized and coloured Tutte polynomials of graphs and matroids due to Zaslavsky [Trans. Amer. Math. Soc. 334 (1992), 317-347] and Bollob
Joanna A. Ellis-Monaghan, Lorenzo Traldi