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Salud, Ciencia y Tecnología Metaverse Basic and Applied Research Data & Metadata Interdisciplinary Rehabilitation Salud, Ciencia y Tecnología - Serie de Conferencias Community and Interculturality in Dialogue Seminars in Medical Writing and Education Health Leadership and Quality of Life Gamification and Augmented Reality Southern perspective / Perspectiva austral
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Original
Published: 2022-10-25
DOI: https://doi.org/10.56294/sctconf2023423

On totient graph of a set of positive integers

By
Arijit Mishra ,
Arijit Mishra

Assistant Professor of Mathematics, NEF College, Guwahati, Assam, India

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Pinku Chandra Dey ,
Pinku Chandra Dey

Assistant Professor of Mathematics, B.N College, Dhubri, Assam, India

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Abstract

In this paper, we introduce a new class of graphs called totient graph of the set of the first n positive integers. A totient graph, denoted by T(In), is a simple, undirected graph with vertex set In = {1,2,...,n} and any two distinct vertices x and y are adjacent if and only if x + y ∈ P(In), where P(In) = {x ∈ In : x ≡6 0(modφ(n))}.

Keywords:

Degree,
Eulerian; Euler’s φ−function,
Connected Graph,

How to Cite

1.
Mishra A, Chandra Dey P. On totient graph of a set of positive integers. Salud, Ciencia y Tecnología - Serie de Conferencias [Internet]. 2022 Oct. 25 [cited 2024 Jul. 8];2:423. Available from: https://conferencias.saludcyt.ar/index.php/sctconf/article/view/423

Copyright Notice

The article is distributed under the Creative Commons Attribution 4.0 License. Unless otherwise stated, associated published material is distributed under the same licence.

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IV Jornadas de Fundamentos y Aplicaciones de la Interdisciplina (JFAI2023)
Vol. 2 (2023)
See full issue

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