Linear Extensions of Diamond Posets

초록

In this paper, we obtain the enumeration results on the number of linear extensions of diamond posets. We find the recurrence relations and exponential generating functions for the number of linear extensions of diamond posets. We also get some results for the volume of graph polytope associated with bipartite graphs which are underlying graphs of diamond posets.

키워드

diamond posets; linear extensions; Bessel functions of the fist kind.
제목
Linear Extensions of Diamond Posets
저자
주형관; 서승현
발행일
2019-12
유형
Y
저널명
호남수학학술지
권
41
호
4
페이지
863 ~ 870