Products of arithmetic matroids and quasipolynomial invariants of CW-complexes

DOI10.1016/j.jcta.2018.01.005zbMath1385.05029OpenAlexW2792964798WikidataQ130207962 ScholiaQ130207962MaRDI QIDQ1747760

Luca Moci, Emanuele Delucchi

Publication date: 27 April 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11585/676940

zbMATH Keywords

matroidschromatic polynomialCW complexarithmetic Tutte polynomialcellular complexchromatic quasi-polynomialTutte quasi-polynomialTutte-Krushkal-Renhardy polynomial

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)

Related Items (6)

Universal Tutte characters via combinatorial coalgebras ⋮ Polyhedra and parameter spaces for matroids over valuation rings ⋮ The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids ⋮ A convolution formula for Tutte polynomials of arithmetic matroids and other combinatorial structures ⋮ On powers of Plücker coordinates and representability of arithmetic matroids ⋮ An equivalent formulation of chromatic quasi-polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Splines, lattice points, and arithmetic matroids
• Matroids over a ring
• Ehrhart polynomial and arithmetic Tutte polynomial
• A polynomial invariant and duality for triangulations
• Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes
• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Non-regular simplicial matroids
• Group actions on semimatroids
• A convolution formula for Tutte polynomials of arithmetic matroids and other combinatorial structures
• Graph colorings, flows and arithmetic Tutte polynomial
• Arithmetic matroids, the Tutte polynomial and toric arrangements
• Enumerating colorings, tensions and flows in cell complexes
• Cuts and flows of cell complexes
• On the Tutte-Krushkal-Renardy polynomial for cell complexes
• Characteristic polynomials, Ehrhart quasi-polynomials, and torus groups.
• Simplicial and cellular trees
• A Tutte polynomial for toric arrangements
• The multivariate arithmetic Tutte polynomial
• Flows on Simplicial Complexes
• A Contribution to the Theory of Chromatic Polynomials

This page was built for publication: Products of arithmetic matroids and quasipolynomial invariants of CW-complexes