Algebraic combinatorics walks, trees, tableaux, and more

✍ Scribed by Stanley, Richard P

Publisher: Springer International Publishing
Year: 2018
Tongue: English
Leaves: 225
Series: Undergraduate Texts in Mathematics
Edition: 1st edition 2018
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Subjects

Kombinatorik

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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 und

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