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...
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| Language: | English |
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New York, NY :
Springer New York : Imprint: Birkhäuser,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Birkhäuser Advanced Texts Basler Lehrbücher,
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| Online Access: | https://doi.org/10.1007/978-1-4939-3091-3 |
Table of Contents:
- 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.