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Algebraic Combinatorics: Walks, Trees, Tableaux, and More

Publisher: 
Springer
Number of Pages: 
223
Price: 
49.95
ISBN: 
9781461469971
Date Received: 
Thursday, August 15, 2013
Reviewable: 
Yes
Include In BLL Rating: 
No
Richard P. Stanley
Series: 
Undergraduate Texts in Mathematics
Publication Date: 
2013
Format: 
Hardcover
Audience: 
Category: 
Textbook

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.

Publish Book: 
Modify Date: 
Thursday, August 15, 2013

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