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Combinations as bargraphs

Author(s)
Toufik Mansour Department of Mathematics, University of Haifa,3498838 Haifa,Israel
Armend Sh. Shabani Department of Mathematics, University of Prishtina,10000 Prishtine ̈,Republic of Kosovo
Abstract
In this paper, we consider statistics on combinations of [n] when combinations are presented as bargraphs. The statistics we consider are cardinality of a combination, semi-perimeter, outer site-perimeter, and inner site-perimeter. We find an explicit formula for the generating function for the number of combinations of [n] according to the considered statistics. We also find an explicit formula for the total of the above statistics over all combinations of [n].
Publication Details
Page(s) 106-110
Published Journal: Discrete Mathematics Letters, Volume: 8, Issue: 0, Year: 2022

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Keywords
combinations, inner site-perimeter, bargraphs, site-perimeter, outer site-perimeter
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