Strict log-concavity of the Kirchhoff polynomial and its applications

zbMath1447.05051MaRDI QIDQ2199831

Akiko Yazawa, Takahiro Nagaoka

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2020//38.html

zbMATH Keywords

prehomogeneous vector spacescomplete graphgraphic matroidsArtinian Gorenstein algebrasHodge-Riemann relationstrong Lefshcetz property

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Combinatorial aspects of matroids and geometric lattices (05B35) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (1)

Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting)

Cites Work

• Sperner property and finite-dimensional Gorenstein algebras associated to matroids
• Enumeration of points, lines, planes, etc.
• Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Sperner property, matroids and finite-dimensional Gorenstein algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strict log-concavity of the Kirchhoff polynomial and its applications