On Tutte polynomials of matroids representable over \(GF(q)\)

DOI10.1016/S0195-6698(89)80059-9zbMath0679.05017OpenAlexW2019538680MaRDI QIDQ1124595

François Jaeger

Publication date: 1989

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(89)80059-9

zbMATH Keywords

binary matroidsTutte polynomialmatroid representable over GF(q)

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (7)

On the number of 3-edge colorings of cubic graphs ⋮ A parity result of Fraysseix, computational complexity of Tutte polynomials, and a conjecture on planar graphs ⋮ Counterexamples to a conjecture of Las Vergnas ⋮ Interlace polynomials ⋮ Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers ⋮ The Tutte polynomial of a morphism of matroids. III: Vectorial matroids ⋮ The Tutte polynomial of a morphism of matroids. I: Set-pointed matroids and matroid perspectives

Cites Work

• On the evaluation at (3,3) of the Tutte polynomial of a graph
• Flows and generalized coloring theorems in graphs
• On Tutte's extension of the four-colour problem
• Tutte-Martin polynomials and orienting vectors of isotropic systems
• The Tutte polynomial
• On the Principal Edge Tripartition of a Graph
• On the algebraic theory of graph colorings
• A Decomposition for Combinatorial Geometries
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