Algebraic combinatorics: walks, trees, tableaux, and more /
Richard P. Stanley.
- New York : Springer, c2013.
- xii, 223 p. : ill. ; 25 cm.
Includes bibliographical references (p. 213-217) and index.
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