scientific article

From MaRDI portal
Publication:3416249

zbMath1110.05020arXivmath/0503607MaRDI QIDQ3416249

Alan D. Sokal

Publication date: 19 January 2007

Full work available at URL: https://arxiv.org/abs/math/0503607

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

Chromatic and flow polynomials of generalized vertex join graphs and outerplanar graphsCentral limit theorems, Lee-Yang zeros, and graph-counting polynomialsOn zero-free regions for the anti-ferromagnetic Potts model on bounded-degree graphsChromatic zeros on hierarchical lattices and equidistribution on parameter spaceThe complexity of approximating the complex-valued Potts modelComputing the Tutte polynomial of Archimedean tilingsUniversal Tutte characters via combinatorial coalgebrasThe Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stabilityUniversal Tutte polynomialLinear Bound in Terms of Maxmaxflow for the Chromatic Roots of Series-Parallel GraphsUnnamed ItemBenjamini-Schramm convergence and the distribution of chromatic roots for sparse graphsLoop-erased partitioning of a graph: mean-field analysisBlock interpolation: a framework for tight exponential-time counting complexityParallel family trees for transfer matrices in the Potts modelThe multivariate arithmetic Tutte polynomialTransfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomialLogarithmic concavity for morphisms of matroidsMatrix orbit closuresConvolution-multiplication identities for Tutte polynomials of graphs and matroidsChromatic polynomial, \(q\)-binomial counting and colored Jones functionThe Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphsExtremal graphs for the Tutte polynomialTutte polynomials of braceletsFourientation activities and the Tutte polynomialOn sequences of polynomials arising from graph invariantsOn an ordering-dependent generalization of the Tutte polynomialThe Complexity of Approximately Counting Tree HomomorphismsAlgebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and PfaffiansCounting 2-connected deletion-minors of binary matroidsInapproximability of the Tutte polynomial of a planar graphRecipe theorem for the Tutte polynomial for matroids, renormalization group-like approachThe complexity of approximating complex-valued Ising and Tutte partition functionsInterlace polynomials for multimatroids and delta-matroidsHomomorphisms and Polynomial Invariants of GraphsComplexity of the Bollobás-Riordan PolynomialDensity of real zeros of the Tutte polynomialStable multivariate Eulerian polynomials and generalized Stirling permutationsUniform Algebraic Reducibilities between Parameterized Numeric Graph InvariantsTopological graph polynomials in colored group field theoryMeasures of spin ordering in the Potts model with a generalized external magnetic fieldCharacterizing partition functions of the vertex modelOn the Potts model partition function in an external fieldCritical behaviour of spanning forests on random planar graphsFactor models on locally tree-like graphsMatiyasevich formula for chromatic and flow polynomials and Feynman amplitudesThe Poincaré Polynomial of a Linear CodeThe ground state energy of the massless spin-boson modelSpanning forests andOSP(N|2M) -invariantσ-modelsTransfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditionsLorentzian polynomialsSubset Glauber dynamics on graphs, hypergraphs and matroids of bounded tree-widthFine-grained dichotomies for the Tutte plane and Boolean \#CSPUnsigned state models for the Jones polynomialExpansions for the Bollobás-Riordan polynomial of separable ribbon graphsBinary matroids and local complementationComplete monotonicity for inverse powers of some combinatorially defined polynomialsDensity of Real Zeros of the Tutte PolynomialTorus orbits on homogeneous varieties and Kac polynomials of quiversPotts models with magnetic field: arithmetic, geometry, and computationPhase diagram of the chromatic polynomial on a torusKnot invariants and the Bollobás-Riordan polynomial of embedded graphsComputing the Tutte polynomial of lattice path matroids using determinantal circuitsRapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-WidthAlgebraic properties of chromatic rootsOrbit-counting polynomials for graphs and codesGalois groups of multivariate Tutte polynomialsTopological graph polynomial and quantum field theory. II: Mehler kernel theoriesThe bivariate Ising polynomial of a graphCombinatorics and geometry of power idealsA little statistical mechanics for the graph theoristA note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts modelA logician's view of graph polynomialsFunctional relations on anisotropic Potts models: from Biggs formula to the tetrahedron equationThomas H. Brylawski (1944--2007)Complexity of the Bollobás-Riordan polynomial. Exceptional points and uniform reductionsThe Tutte-Potts connection in the presence of an external magnetic fieldPotts model partition functions on two families of fractal latticesHigher matrix-tree theorems and Bernardi polynomialThe Exponential Time Complexity of Computing the Probability That a Graph Is ConnectedTutte polynomials of vertex-weighted graphs and group cohomologySystem/Environment Duality of Nonequilibrium Network ObservablesGeometric representations of linear codesOn the location of roots of graph polynomialsTotally frustrated states in the chromatic theory of gain graphsA binomial approximation method for the Ising modelFunctional RG approach to the Potts modelNegative dependence and the geometry of polynomialsA solution to the combinatorial puzzle of Mayer's virial expansionFrom a zoo to a zoology: Towards a general theory of graph polynomialsContext-Free Grammars and Stable Multivariate Polynomials over Stirling PermutationsSemantic Equivalence of Graph Polynomials Definable in Second Order LogicA criterion for the half-plane propertyGeneralized duality for graphs on surfaces and the signed Bollobás-Riordan polynomialEffective fluctuation and response theoryAn extension of the bivariate chromatic polynomialZero-free regions for multivariate tutte polynomials (alias Potts-model partition functions) of graphs and matroidsDeterminant identities for Laplace matricesThe multivariate signed Bollobás-Riordan polynomialUniversality for polynomial invariants for ribbon graphs with half-ribbons




This page was built for publication: