The c--2d-index of oriented matroids

DOI10.1006/jcta.1997.2797zbMath0886.05043OpenAlexW2109780436MaRDI QIDQ1369733

Richard Ehrenborg, Margaret A. Readdy, Billera, Louis J.

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1006/jcta.1997.2797

zbMATH Keywords

Eulerian posetspolynomialsindexmatroidcd-indexab-index

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial aspects of matroids and geometric lattices (05B35)

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Chain enumeration, partition lattices and polynomials with only real roots, The signed descent set polynomial revisited, Random walks on quasisymmetric functions, Peak quasisymmetric functions and Eulerian enumeration, On the flag \(f\)-vector of a graded lattice with nontrivial homology, Balanced and Bruhat graphs, The \(r\)-signed Birkhoff transform, Euler flag enumeration of Whitney stratified spaces, Manifold arrangements, The Tchebyshev transforms of the first and second kind, Oriented interval greedoids, Weighted derivations and the cd-index, The descent set polynomial revisited, Coxeter cones and their \(h\)-vectors, Noncommutative enumeration in graded posets, Enumeration in convex geometries and associated polytopal subdivisions of spheres, Lifting inequalities for polytopes, Flag enumerations of matroid base polytopes, Cyclotomic factors of the descent set polynomial, Affine and toric hyperplane arrangements, The 𝑐𝑑-index: A survey, Flag vectors of Eulerian partially ordered sets, The excedance set of a permutation, The toric ℎ-vectors of partially ordered sets, Homology of Newtonian coalgebras., A signed analog of the Birkhoff transform

Cites Work

• A new basis of polytopes
• Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
• A new index for polytopes
• Finite lattices and Jordan-Hölder sets
• Permutation trees and variation statistics
• Flag \(f\)-vectors and the \(cd\)-index
• The homology of partitions with an even number of blocks
• On the \(cd\)-variation polynomials of André and Simsun permutations
• Combinatorics and commutative algebra.
• On posets and Hopf algebras
• The r-cubical lattice and a generalization of the cd-index
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Coalgebras and Bialgebras in Combinatorics
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Andre Permutations, Lexicographic Shellability and the cd-Index of a Convex Polytope
• Lectures on Polytopes
• Lawrence Polytopes
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