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Algebraic Combinatorics: Walks, Trees, Tableaux, and More

โœ Scribed by Stanley, Richard P

Publisher
Springer, Springer International Publishing
Year
2018
Tongue
English
Leaves
263
Series
Undergraduate Texts in Mathematics
Edition
2nd ed.
Category
Library
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โœฆ Synopsis

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.

โœฆ 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.

โœฆ Subjects

Combinatorial analysis;Combinatorics;Graph theory;Graph Theory;Matemรกticas;Mathematics;Recursos electrรณnicos;Libros electrรณnicos;Matemaฬticas

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