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Chip firing and the tutte polynomial
Annals of Combinatorics, 1997This paper shows that the generating function of critical configurations of a version of a chip firing game on a graph \(G\) is an evaluation of the Tutte polynomial of \(G\), thus proving a conjecture of Biggs.
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Tutte Polynomials of Perfect Matroid Designs
Combinatorics, Probability and Computing, 2000This paper gives a general expression for the Tutte polynomial of perfect matroid designs, that is, for matroids in which all ats of the same rank are equicardinal. In particular, explicit expressions are given for the Tutte polynomial of projective and affine geometries over a finite field.
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On Tutte's Dichromate Polynomial
1978A simplified method of defining the Tutte dichromate polynomial is described, together with direct proofs of its principal properties. It is related to the fragmentation of a matroid. The method includes graphs and sets of vectors as special cases.
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Harmonic Tutte polynomials of matroids
Designs, Codes, and Cryptography, 2023Himadri Shekhar Chakraborty
exaly
Kramers–Wannier duality and Tutte polynomials
Theoretical and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs
Experimental Mathematics, 2015Sam Payne
exaly
Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width
Discrete Applied Mathematics, 2005Johann A Makowsky
exaly
Lattice path matroids: enumerative aspects and Tutte polynomials
Journal of Combinatorial Theory - Series A, 2003Anna de Mier, Marc Noy
exaly
Tutte polynomials of fan-like graphs with applications in benzenoid systems
Applied Mathematics and Computation, 2021exaly