Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2019, 7(3), 77-84
DOI: 10.12691/tjant-7-3-4
Open AccessArticle

On Some Properties of Coprime Labelled Graphs

M. A. Rajan1, Kinkar Ch. Das2, , V. Lokesha3 and I. Naci Cangül4

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

Pub. Date: June 06, 2019

Cite this paper:
M. A. Rajan, Kinkar Ch. Das, V. Lokesha and 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

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.

Keywords:
Euler's phi-function coprime prime number chromatic number co-prime graph

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