Eulerian Numbers

This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytope...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Petersen, T. Kyle (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Birkhäuser, 2015.
Édition:1st ed. 2015.
Collection:Birkhäuser Advanced Texts Basler Lehrbücher,
Sujets:
Discrete mathematics.
Topology.
Number theory.
Group theory.
Discrete Mathematics.
Number Theory.
Group Theory and Generalizations.
Accès en ligne:Texto Completo
Table des matières:
  • Eulerian Numbers
  • Narayana Numbers
  • Partially Ordered Sets
  • Gamma-nonnegativity
  • Weak Order, Hyperplane Arrangements, and the Tamari Lattice
  • Refined Enumeration
  • Simplicial Complexes
  • Barycentric Subdivision
  • Coxeter Groups
  • W-Narayana Numbers
  • Cubes, Carries, and an Amazing Matrix
  • Characterizing f-vectors
  • Combinatorics for Coxeter groups of Types Bn and Dn
  • Affine Descents and the Steinberg Torus
  • Hints and Solutions.

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