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Mathematics > Combinatorics

arXiv:1808.01596 (math)
[Submitted on 5 Aug 2018 (v1), last revised 30 Jan 2021 (this version, v2)]

Title:Enumerations of bargraphs with respect to corner statistics

Authors:Toufik Mansour, Gökhan Yıldırım
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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 tracks the corner statistics of interest, the number of cells, and the number of columns. The bargraph representation of set partitions is also considered and some explicit formulas are obtained for the number of some specific types of corners in such representations.
Comments: 14 pages, 1 figure, there are some minor corrections in the statements of Theorem 6 and Theorem 11. The authors thank David Callan for pointing the typo in Theorem 6
Subjects: Combinatorics (math.CO)
MSC classes: 05A18
Cite as: arXiv:1808.01596 [math.CO]
  (or arXiv:1808.01596v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.1808.01596
Journal reference: Applicable Analysis and Discrete Mathematics, 14, 221-238, 2020
Related DOI: https://doi.org/10.2298/AADM181101009M

Submission history

From: Gokhan Yildirim [view email]
[v1] Sun, 5 Aug 2018 11:19:18 UTC (10 KB)
[v2] Sat, 30 Jan 2021 08:02:15 UTC (10 KB)
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