Enumerations of bargraphs with respect to corner statistics

Applicable Analysis and Discrete Mathematics

article

Gökhan Yıldırım¹  Toufik Mansour² 

[1] Department of Mathematics, University of Haifa;Department of Mathematics, Bilkent University

关键词: Corners;    bargraphs;    Stirling numbers of the second kind;    Set partitions;    generating functions;   

DOI  :  10.2298/AADM181101009M

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We study the enumeration of bargraphs with respect to some corner statistics. We find generating functions for the number of bargraphs that track thecorner statistics of interest, the number of cells, and the number of columns.We also consider bargraph representation of set partitions and obtain someexplicit formulas for the number of specific types of corners in such representations.

【 授权许可】

Unknown