Tchebyshev triangulations of stable simplicial complexes

DOI10.1016/j.jcta.2007.07.007zbMath1140.06002OpenAlexW1975614969MaRDI QIDQ2427555

Gábor Hetyei

Publication date: 13 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2007.07.007

zbMATH Keywords

Chebyshev polynomialsgraded posetssimplicial complexesderivative polynomials for tangent and secantSchur and Hurwitz stability

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polyhedral manifolds (52B70)

Related Items

Zero distribution of polynomials satisfying a differential-difference equation ⋮ Generalized Tchebyshev triangulations ⋮ On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture ⋮ The type \(B\) permutohedron and the poset of intervals as a Tchebyshev transform ⋮ The dual of the type \(B\) permutohedron as a Tchebyshev triangulation ⋮ Enumeration of permutations by number of alternating descents ⋮ Delannoy orthants of Legendre polytopes

Uses Software

• OEIS

Cites Work

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• Central Delannoy numbers and balanced Cohen-Macaulay complexes
• Derivative polynomials, Euler polynomials, and associated integer sequences
• Flag \(f\)-vectors and the \(cd\)-index
• Tchebyshev posets
• Combinatorics and commutative algebra.
• Matrices of formal power series associated to binomial posets
• The Stirling polynomial of a simplicial complex
• Counting Zeros of Real Polynomials within the Unit Disk
• Derivative Polynomials for Tangent and Secant
• A Generalization of a Theorem of Bôcher
• Computation of Tangent, Euler, and Bernoulli Numbers

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