In this paper, we study the number of bargraphs with n cells and m columns according to the statistics E1, E2, E3, E4, where Ei counts number of cells having exactly i edges in the border. Furthermore, we find the generating function for the total perimeter over all the bargraphs of n, as well as its asymptotic behavior.
Bibliographical notePublisher Copyright:
© Institut für Informatik · Justus-Liebig-Universität Giessen.
- border edge
- generating function
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics