Ebook: Algebraic Combinatorics: Walks, Trees, Tableaux, and More

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.