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The dual of the type \(B\) permutohedron as a Tchebyshev triangulation

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Publication:2199842
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zbMath1446.06001MaRDI QIDQ2199842

Gábor Hetyei

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//50.html


zbMATH Keywords

permutohedron\(cd\)-indextype \(B\)Tchebyshev triangulation


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11) Combinatorial aspects of simplicial complexes (05E45)


Related Items (1)

\(P\)-associahedra


Uses Software

  • OEIS


Cites Work

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  • The Tchebyshev transforms of the first and second kind
  • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
  • Generalized Tchebyshev triangulations
  • The cd-index of the poset of intervals and \(E_{t}\)-construction
  • A new index for polytopes
  • Flag \(f\)-vectors and the \(cd\)-index
  • Tchebyshev posets
  • Matrices of formal power series associated to binomial posets
  • Tchebyshev triangulations of stable simplicial complexes
  • Permutohedra, Associahedra, and Beyond


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