scientific article; zbMATH DE number 7370943

zbMath1468.05029MaRDI QIDQ5000314

Laura E. Chávez-Lomelí, Criel Merino, Guadalupe Rodríguez-Sánchez, Geoffrey P. Whittle

Publication date: 12 July 2021

Full work available at URL: http://ajc.maths.uq.edu.au/pdf/80/ajc_v80_p342.pdf

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zbMATH Keywords

polymatroid invariantsTutte polynomial of matroids

Mathematics Subject Classification ID

Graph polynomials (05C31) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Connectivity functions and polymatroids
• A characterization of orthogonal duality in matroid theory
• A correlation inequality involving stable set and chromatic polynomials
• A geometric theory of hypergraph colouring
• A characterization of Tutte invariants of 2-polymatroids
• Properties of chromatic polynomials of hypergraphs not held for chromatic polynomials of graphs
• A splitter theorem for 3-connected 2-polymatroids
• The Tutte Polynomial Part I: General Theory
• Valuations for Matroid Polytope Subdivisions
• Tropical Linear Spaces
• Rado's theorem for polymatroids
• Duality in Polymatroids and Set Functions
• Chirurgie des grassmanniennes
• A lattice point counting generalisation of the Tutte polynomial
• Ideal Multipartite Secret Sharing Schemes

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