Circular bargraphs

Nenad Cakić; Toufik Mansour; Armend Sh Shabani

doi:10.1016/j.amc.2018.11.046

Circular bargraphs

Nenad Cakić, Toufik Mansour, Armend Sh Shabani

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce a new class of bargraphs – circular bargraphs, which are self-avoiding walks in a cylindrical lattice, and study the enumerations of them with respect to perimeter statistic. More precisely, we study the perimeter of a circular bargraph, a statistic defined naturally as the number of edges in the boundary of the bargraph. We also find an explicit formula for the total length of the perimeter over all bargraphs with n-cells.

Original language	English
Pages (from-to)	803-807
Number of pages	5
Journal	Applied Mathematics and Computation
Volume	347
DOIs	https://doi.org/10.1016/j.amc.2018.11.046
State	Published - 15 Apr 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Bargraphs
Circular bargraphs
Generating functions
Perimeter
Recurrences

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2018.11.046

Cite this

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KW - Generating functions

KW - Perimeter

KW - Recurrences

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ER -

Circular bargraphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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