Algebraic Combinatorics Walks, Trees, Tableaux, and More /

Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author's extensive knowledge of combinatorics and classical and practical tools from a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Stanley, Richard P. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Undergraduate Texts in Mathematics,
Temas:
Discrete mathematics.
Graph theory.
Discrete Mathematics.
Graph Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Notation.- 1. Walks in graphs
  • 2. Cubes and the Radon transform
  • 3. Random walks
  • 4. The Sperner property
  • 5. Group actions on boolean algebras
  • 6. Young diagrams and q-binomial coefficients
  • 7. Enumeration under group action
  • 8. A glimpse of Young tableaux
  • Appendix. The RSK algorithm
  • Appendix. Plane partitions
  • 9. The Matrix-Tree Theorem
  • Appendix. Three elegant combinatorial proofs
  • 10. Eulerian diagraphs and oriented trees
  • 11. Cycles, bonds, and electrical networks
  • 12. Miscellaneous gems of algebraic combinatorics
  • Hints
  • References.

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