Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions
Abstract
This survey is devoted to the classical problem of flag numbers of convex polytopes, and contains an exposition of results obtained on the basis of connections between the theory of convex polytopes and a number of modern directions of research.
Bibliography: 62 titles.- Publication:
-
Russian Mathematical Surveys
- Pub Date:
- April 2011
- DOI:
- 10.1070/RM2011v066n02ABEH004741
- arXiv:
- arXiv:1011.1536
- Bibcode:
- 2011RuMaS..66..271B
- Keywords:
-
- Mathematics - Combinatorics;
- 05E45;
- 52B05;
- 16T05;
- 57T25
- E-Print:
- 61 pages