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From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/aima.1995.1020openalex-snapshot
A Symmetric Function Generalization of the Chromatic Polynomial of a Graph
inferredcites →https://doi.org/10.1006/aima.1996.0018openalex-snapshot
The Path-Cycle Symmetric Function of a Digraph
inferredcites →https://doi.org/10.1006/inco.1997.2675openalex-snapshot
Metafinite Model Theory
inferredcites →https://doi.org/10.1006/jctb.1995.1055openalex-snapshot
On the Cover Polynomial of a Digraph
inferredcites →https://doi.org/10.1007/11604686_5openalex-snapshot
Approximating Rank-Width and Clique-Width Quickly
inferredcites →https://doi.org/10.1007/11917496_18openalex-snapshot
Computing Graph Polynomials on Graphs of Bounded Clique-Width
inferredcites →https://doi.org/10.1007/3-540-28788-4openalex-snapshot
Finite Model Theory
inferredcites →https://doi.org/10.1007/3-540-44622-2_19openalex-snapshot
Disjunctive Tautologies as Synchronisation Schemes
inferredcites →https://doi.org/10.1007/3-540-44622-2_27openalex-snapshot
On the Complexity of Combinatorial and Metafinite Generating Functions of Graph Properties in the Computational Model of Blum, Shub and Smale
inferredcites →https://doi.org/10.1007/978-0-387-40054-9_2openalex-snapshot
Mathematics and Its Applications
inferredcites →https://doi.org/10.1007/978-1-4612-0515-9openalex-snapshot
Parameterized Complexity
inferredcites →https://doi.org/10.1007/978-1-4612-0619-4openalex-snapshot
Modern Graph Theory
inferredcites →https://doi.org/10.1007/978-1-4612-0701-6openalex-snapshot
Complexity and Real Computation
inferredcites →https://doi.org/10.1007/978-1-4613-0163-9openalex-snapshot
Algebraic Graph Theory
inferredcites →https://doi.org/10.1007/978-1-4684-0637-5_13openalex-snapshot
Generalized Rook Polynomials and Orthogonal Polynomials
inferredcites →https://doi.org/10.1007/978-3-319-06923-4openalex-snapshot
Advances in Applied Mathematics
inferredcites →https://doi.org/10.1007/978-3-662-04179-6openalex-snapshot
Completeness and Reduction in Algebraic Complexity Theory
inferredcites →https://doi.org/10.1007/978-3-662-07003-1openalex-snapshot
Elements of Finite Model Theory
inferredcites →https://doi.org/10.1007/bf01204715openalex-snapshot
Colorings and orientations of graphs
inferredcites →https://doi.org/10.1007/bf03017509openalex-snapshot
American Journal of Mathematics
inferredcites →https://doi.org/10.1007/s00373-003-0544-xopenalex-snapshot
Chromatic Polynomials and the Symmetric Group
inferredcites →https://doi.org/10.1007/s00493-004-0035-6openalex-snapshot
A Two-Variable Interlace Polynomial
inferredcites →https://doi.org/10.1016/0012-365x(73)90108-8openalex-snapshot
Acyclic orientations of graphs
inferredcites →https://doi.org/10.1016/0012-365x(92)90289-ropenalex-snapshot
Tutte polynomials computable in polynomial time
inferredcites →https://doi.org/10.1016/0095-8956(79)90049-2openalex-snapshot
On a general class of graph polynomials
inferredcites →https://doi.org/10.1016/0166-218x(89)90049-8openalex-snapshot
A Tutte polynomial for signed graphs
inferredcites →https://doi.org/10.1016/j.apal.2003.11.002openalex-snapshot
Algorithmic uses of the Feferman–Vaught Theorem
inferredcites →https://doi.org/10.1016/j.dam.2004.01.016openalex-snapshot
Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width
inferredcites →https://doi.org/10.1016/j.jctb.2004.03.003openalex-snapshot
The interlace polynomial of a graph
inferredcites →https://doi.org/10.1016/j.laa.2003.06.010openalex-snapshot
Interlace polynomials
inferredcites →https://doi.org/10.1016/s0012-365x(98)00113-7openalex-snapshot
An algorithm for the Tutte polynomials of graphs of bounded treewidth
inferredcites →https://doi.org/10.1016/s0022-0000(03)00080-1openalex-snapshot
The parametrized complexity of knot polynomials
inferredcites →https://doi.org/10.1016/s0196-8858(02)00530-4openalex-snapshot
Farrell polynomials on graphs of bounded tree width
inferredcites →https://doi.org/10.1016/s0196-8858(03)00041-1openalex-snapshot
Graph-polynomials
inferredcites →https://doi.org/10.1016/s0196-8858(03)00087-3openalex-snapshot
On the algebraic complexity of some families of coloured Tutte polynomials
inferredcites →https://doi.org/10.1016/s0304-3975(02)00831-9openalex-snapshot
The Go polynomials of a graph
inferredcites →https://doi.org/10.1016/s1571-0661(04)00301-9openalex-snapshot
Parameterized Complexity
inferredcites →https://doi.org/10.1017/cbo9780511551574openalex-snapshot
Model Theory
inferredcites →https://doi.org/10.1017/cbo9780511721328.004openalex-snapshot
The Penrose polynomial of graphs and matroids
inferredcites →https://doi.org/10.1017/cbo9780511734885.009openalex-snapshot
The multivariate Tutte polynomial (alias Potts model) for graphs and matroids
inferredcites →https://doi.org/10.1017/cbo9780511752506openalex-snapshot
Complexity: Knots, Colourings and Countings
inferredcites →https://doi.org/10.1017/s0305004100068936openalex-snapshot
On the computational complexity of the Jones and Tutte polynomials
inferredcites →https://doi.org/10.1017/s0963548398003447openalex-snapshot
A Tutte Polynomial for Coloured Graphs
inferredcites →https://doi.org/10.1017/s0963548398003551openalex-snapshot
Evaluating the Tutte Polynomial for Graphs of Bounded Tree-Width
inferredcites →https://doi.org/10.1051/ita/1992260302571openalex-snapshot
The monadic second-order logic of graphs III : tree-decompositions, minors and complexity issues
inferredcites →https://doi.org/10.1063/1.3060724openalex-snapshot
An Introduction to Combinatorial Analysis
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0943099-0openalex-snapshot
Tutte Polynomials and Link Polynomials
inferredcites →https://doi.org/10.1109/icca.2002.1229256openalex-snapshot
Mathematics and its applications
inferredcites →https://doi.org/10.1112/s0024609396222416openalex-snapshot
FINITE MODEL THEORY (Perspectives in Mathematical Logic)
inferredcites →https://doi.org/10.1137/0208032openalex-snapshot
The Complexity of Enumeration and Reliability Problems
inferredcites →https://doi.org/10.1142/5814openalex-snapshot
Chromatic Polynomials and Chromaticity of Graphs
inferredcites →https://doi.org/10.1145/3749740.3749750openalex-snapshot
Completeness Classes in Algebra
inferredcites →https://doi.org/10.1201/9781315139111openalex-snapshot
Chemical Graph Theory
inferredcites →https://doi.org/10.2307/1402058openalex-snapshot
An Introduction to Combinatorial Analysis
inferredcites →https://doi.org/10.2307/1967597openalex-snapshot
A Determinant Formula for the Number of Ways of Coloring a Map
inferredcites →https://doi.org/10.2307/2002374openalex-snapshot
An Introduction to Combinatorial Analysis
inferredcites →https://doi.org/10.2307/2007638openalex-snapshot
Encyclopedia of Mathematics and its Applications.
inferredcites →https://doi.org/10.2307/2369302openalex-snapshot
On an Application of the New Atomic Theory to the Graphical Representation of the Invariants and Covariants of Binary Quantics, With Three Appendices, [Continued]
inferredcites →https://doi.org/10.5555/338219.338258openalex-snapshot
The interlace polynomial: a new graph polynomial
inferredcites →https://doi.org/10.5555/365411.365514openalex-snapshot
Colored Tutte polynomials and Kaufman brackets for graphs of bounded tree width
inferredcites →https://doi.org/10.5860/choice.32-0988openalex-snapshot
Algebraic combinatorics
inferredcites →https://doi.org/10.5860/choice.35-6275copenalex-snapshot
Complexity and real computation
inferredcites →https://doi.org/10.7151/dmgt.1049openalex-snapshot
Graph colorings with local constraints -- a survey

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-540-79709-8_12openalex-snapshot
Complexity of the Bollobás-Riordan Polynomial
inferred← citeshttps://doi.org/10.1007/978-3-540-87531-4_25openalex-snapshot
On Counting Generalized Colorings
inferred← citeshttps://doi.org/10.1007/978-3-642-04128-0_2openalex-snapshot
Efficient Computation of the Characteristic Polynomial of a Tree and Related Tasks
inferred← citeshttps://doi.org/10.1007/978-3-642-11409-0_3openalex-snapshot
A Graph Polynomial Arising from Community Structure (Extended Abstract)
inferred← citeshttps://doi.org/10.1007/s00224-007-9022-9openalex-snapshot
From a Zoo to a Zoology: Towards a General Theory of Graph Polynomials
inferred← citeshttps://doi.org/10.1007/s00224-009-9213-7openalex-snapshot
Complexity of the Bollobás–Riordan Polynomial. Exceptional Points and Uniform Reductions
inferred← citeshttps://doi.org/10.1007/s00453-012-9688-5openalex-snapshot
Efficient Computation of the Characteristic Polynomial of a Tree and Related Tasks
inferred← citeshttps://doi.org/10.1007/s10472-009-9115-zopenalex-snapshot
From Hilbert’s program to a logic tool box
inferred← citeshttps://doi.org/10.1016/j.ejc.2011.03.017openalex-snapshot
The enumeration of vertex induced subgraphs with respect to the number of components
inferred← citeshttps://doi.org/10.1093/logcom/exq006openalex-snapshot
Graph Polynomials: From Recursive Definitions to Subset Expansion Formulas
inferred← citeshttps://doi.org/10.2140/mt.2024.3.465openalex-snapshot
How I got to like graph polynomials
inferred← citeshttps://doi.org/10.3233/fi-2010-235openalex-snapshot
Tree-width in Algebraic Complexity
inferred← citeshttps://doi.org/10.37236/793openalex-snapshot
A Multivariate Interlace Polynomial and its Computation for Graphs of Bounded Clique-Width
inferred← citeshttps://doi.org/10.48550/arxiv.0812.1364openalex-snapshot
Graph Polynomials: From Recursive Definitions To Subset Expansion Formulas
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0702016openalex-snapshot
A multivariate interlace polynomial
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