Algebraic Combinatorics Walks, Trees, Tableaux, and More

Algebraic Combinatorics Walks, Trees, Tableaux, and More / by Richard P. Stanley.

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 algebr...

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Bibliographic Details
Main Author: Stanley, Richard P. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:2nd ed. 2018.
Series:Undergraduate Texts in Mathematics,
Springer eBook Collection.
Subjects:
Combinatorics.
Graph theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Updated preface to the first edition
  • Preface to the second edition.-Basic 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. A glimpse of combinatorial commutative algebra
  • 13. Miscellaneous gems of algebraic combinatorics
  • Hints and comments
  • Bibliography
  • Index.

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