A q-integral over an order polytope coming from a poset is interpreted as a generating function of linear extensions of the poset. As an application, the q-beta integral and a q-analog of Dirichlet's integral are computed. A combinatorial interpretation of a q-Selberg integral is also obtained.
|Original language||English (US)|
|Number of pages||12|
|Journal||Discrete Mathematics and Theoretical Computer Science|
|State||Published - 2016|
|Event||28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 - Vancouver, Canada|
Duration: Jul 4 2016 → Jul 8 2016
Bibliographical noteFunding Information:
†The first author was partially supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2061006). ‡The second author was supported by NSF grant DMS-1148634.
© 2016 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France to reconstruct the historical associations between the phylogenies of host and parasite under a model of parasites switching hosts, which is an instance of the more general problem of cophylogeny estimation.
- Order polytope
- Q-Selberg integral