Enumerations of bargraphs with respect to corner statistics
Date
2020
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Source Title
Applicable Analysis and Discrete Mathematics
Print ISSN
1452-8630
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Publisher
University of Belgrade
Volume
14
Issue
1
Pages
221 - 238
Language
English
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Abstract
We study the enumeration of bargraphs with respect to some corner statistics. We find generating functions for the number of bargraphs that track the corner statistics of interest, the number of cells, and the number of columns. We also consider bargraph representation of set partitions and obtain some explicit formulas for the number of specific types of corners in such representations.