Counting paths between points on a circle

The paper deals with counting sets of given magnitude whose elements are self-avoiding paths with nodes from a fixed set of points on a circle. Some of the obtained formulae provide new properties of entries in ``The On-line Encyclopaedia of Integer Sequences", while others generate new entries therein.

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Publication Details

Journal
Commentationes Mathematicae Universitatis Carolinae
Published
2024-11-08
DOI
https://doi.org/10.14712/1213-7243.2024.010
Primary Topic
Data Management and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Counting paths between points on a circle

Ivaylo Kortezov
Commentationes Mathematicae Universitatis Carolinae
Data Management and Algorithms
article

Counting paths between points on a circle

Ivaylo Kortezov
article en

Abstract

The paper deals with counting sets of given magnitude whose elements are self-avoiding paths with nodes from a fixed set of points on a circle. Some of the obtained formulae provide new properties of entries in ``The On-line Encyclopaedia of Integer Sequences", while others generate new entries therein.

Commentationes Mathematicae Universitatis CarolinaeVol. 64(4)
Openalex Percentile: Top 77%
Data Management and Algorithms
DOISourceOpenAlex
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Counting paths between points on a circle — Ivaylo Kortezov · Commentationes Mathematicae Universitatis Carolinae (2024) | TGRS Research Map | TGRS