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Tutte Polynomials of Perfect Matroid Designs

Combinatorics, Probability and Computing, 2000
This 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.
openaire   +1 more source

On Tutte's Dichromate Polynomial

1978
A 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.
openaire   +1 more source

The Tutte polynomial via lattice point counting

Journal of Combinatorial Theory - Series A, 2022
Alex Fink
exaly  

Kramers–Wannier duality and Tutte polynomials

Theoretical and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Extremal graphs for the Tutte polynomial

Journal of Combinatorial Theory Series B, 2022
Nathan Kahl
exaly  

Arithmetic matroids, the Tutte polynomial and toric arrangements

Advances in Mathematics, 2013
Michele D'adderio, Luca Moci
exaly  

The Complexity of Computing the Sign of the Tutte Polynomial

SIAM Journal on Computing, 2014
Leslie Ann Goldberg
exaly  

The Tutte polynomial of the Sierpiński and Hanoi graphs

Advances in Geometry, 2013
Alfredo Donno, Donatella Iacono
exaly  

The Tutte polynomial of an infinite family of outerplanar, small-world and self-similar graphs

Physica A: Statistical Mechanics and Its Applications, 2013
Yunhua Liao, Hou Yaoping
exaly  

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