Name
Abstract | ||
|---|---|---|
We investigate the arithmetic-geometric structure of the lecture hall cone L-n :- {lambda is an element of R-n : 0 <= lambda(1)/1 <= lambda(2)/2 <= lambda(3)/3 <= ... <= lambda(n/)n} We show that L-n is isomorphic to the cone over the lattice pyramid of a reflexive simplex whose Ehrhart h*-polynomial is given by the (n-1) st Eulerian polynomial and prove that lecture hall cones admit regular, flag, unimodular triangulations. After explicitly describing the Hilbert basis for L-n, we conclude with observations and a conjecture regarding the structure of unimodular triangulations of L-n, including connections between enumerative and algebraic properties of L-n and cones over unit cubes. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1036907 | SIAM JOURNAL ON DISCRETE MATHEMATICS |
Keywords | DocType | Volume |
lecture hall,triangulations,generating functions,Eulerian | Journal | 30 |
Issue | ISSN | Citations |
3 | 0895-4801 | 2 |
PageRank | References | Authors |
0.43 | 2 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthias Beck | 1 | 12 | 7.42 |
| Benjamin Braun | 2 | 7 | 3.80 |
| Matthias KöPpe | 3 | 191 | 20.95 |
| Carla D. Savage | 4 | 349 | 60.16 |
| Zafeirakis Zafeirakopoulos | 5 | 26 | 5.04 |