Algebraic combinatorics : walks, trees, tableaux, and more
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author s extensive knowledge of combinatorics and classical and practical tools from algebr...
Gorde:
| Egile nagusia: | |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| Saila: | Undergraduate Texts in Mathematics
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| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic combinatorics, walks, trees, tableaux, and more, Richard P. Stanley, 2013, New York [etc.], Springer, 1 vol. (XII-223 p.), Undergraduate texts in mathematics, 978-1-4614-6997-1, Texte imprimé |
Aurkibidea:
- 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