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F. Harary, Graph Theory, Addison-Wesley, Reading Mass, (1969).

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Article

On Some Properties of Coprime Labelled Graphs

1Innovation Labs, Tata Consultancy Services Ltd, Abhilash, A Block 3rd Floor,EPIP IndustrialArea, Whitefield, Bangalore-560066, Karnataka, India

2Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

3Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Bellari, Karnataka, India

4Department of Mathematics, Faculty of Science, Uludag University, Görükle, 16059, Bursa, Turkey


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 3, 77-84
DOI: 10.12691/tjant-7-3-4
Copyright © 2019 Science and Education Publishing

Cite this paper:
M. A. Rajan, Kinkar Ch. Das, V. Lokesha, I. Naci Cangül. On Some Properties of Coprime Labelled Graphs. Turkish Journal of Analysis and Number Theory. 2019; 7(3):77-84. doi: 10.12691/tjant-7-3-4.

Correspondence to: Kinkar  Ch. Das, Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea. Email: kinkardas2003@googlemail.com

Abstract

A is a labelled graph denoted by in which the vertex set of an has vertices labeled {} and edges such that there exist an edge between two distinct vertices labeled { and }, if { and } are coprime to each other. In this paper, some properties of the ER- are studied. An algorithm to compute GCD and LCM of any two numbers between and p by means of an ER- graph is also described.

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