Algebraic Combinatorics Walks, Trees, Tableaux, and More / [electronic resource] :
by Richard P. Stanley.
- XII, 223 p. 53 illus. online resource.
- Undergraduate Texts in Mathematics, 0172-6056 .
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.