Directed graphs of integers with arcs determined by an arithmetic function

We introduce a new arc in directed graphs of integers. Among other things, we determine the positive integers that have arcs to all except a finite number of positive integers. We also propose some possible research problems at the end of this article.

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Bibliographic Details
Published in:arXiv.org 2023-03
Main Authors: Phakhinkon Napp Phunphayap, Noppakaew, Passawan, Pongsriiam, Prapanpong
Format: Article
Language:English
Subjects:
Graph theory
Graphs
Integers
Online Access:Get full text
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Description
Summary:We introduce a new arc in directed graphs of integers. Among other things, we determine the positive integers that have arcs to all except a finite number of positive integers. We also propose some possible research problems at the end of this article.
ISSN:2331-8422