A Tutte polynomial for signed graphs
Discrete Applied Mathematics - Combinatorics and complexity
Tutte polynomials computable in polynomial time
Discrete Mathematics - Algebraic graph theory; a volume dedicated to Gert Sabidussi
Complexity: knots, colourings and counting
Complexity: knots, colourings and counting
On the cover polynomial of a digraph
Journal of Combinatorial Theory Series B
Complexity and real computation
Complexity and real computation
Information and Computation - Special issue: logic and computational complexity
An algorithm for the Tutte polynomials of graphs of bounded treewidth
Discrete Mathematics
Colored Tutte polynomials and Kaufman brackets for graphs of bounded tree width
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the 14th Annual Conference of the EACSL on Computer Science Logic
Farrell polynomials on graphs of bounded tree width
Advances in Applied Mathematics - Special issue on: Formal power series and algebraic combinatorics in memory of Rodica Simion, 1955-2000
Completeness classes in algebra
STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
Theoretical Computer Science
The parametrized complexity of knot polynomials
Journal of Computer and System Sciences - Special issue on Parameterized computation and complexity
A Tutte Polynomial for Coloured Graphs
Combinatorics, Probability and Computing
Evaluating the Tutte Polynomial for Graphs of Bounded Tree-Width
Combinatorics, Probability and Computing
Chromatic Polynomials and the Symmetric Group
Graphs and Combinatorics
Elements Of Finite Model Theory (Texts in Theoretical Computer Science. An Eatcs Series)
Elements Of Finite Model Theory (Texts in Theoretical Computer Science. An Eatcs Series)
A Two-Variable Interlace Polynomial
Combinatorica
The interlace polynomial of a graph
Journal of Combinatorial Theory Series B - Special issue dedicated to professor W. T. Tutte
Matching Theory (North-Holland mathematics studies)
Matching Theory (North-Holland mathematics studies)
Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width
Discrete Applied Mathematics - Structural decompositions, width parameters, and graph labelings (DAS 5)
Approximating rank-width and clique-width quickly
WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
Parameterized Complexity
On Counting Generalized Colorings
CSL '08 Proceedings of the 22nd international workshop on Computer Science Logic
From Hilbert's program to a logic tool box
Annals of Mathematics and Artificial Intelligence
Tree-width in Algebraic Complexity
Fundamenta Informaticae - Bridging Logic and Computer Science: to Johann A. Makowsky for his 60th birthday
The enumeration of vertex induced subgraphs with respect to the number of components
European Journal of Combinatorics
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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 generalizations of the Tutte polynomial, matching polynomials, interlace polynomials, and the cover polynomial of digraphs. We introduce the class of (hyper)graph polynomials definable in second order logic, and outline a research program for their classification in terms of definability and complexity considerations, and various notions of reducibilities.