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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<U+0019>s extensive knowledge of combinatorics and classical and practical tool...

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Bibliographic Details
Main Author: Stanley, Richard P. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Series:Undergraduate Texts in Mathematics,
Subjects:
Mathematics.
Combinatorics.
Graph Theory.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6998-8
Table of Contents:
  • 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<U+0013>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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