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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 342-347, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00036.5 (Received on 11.01.2019 Revised on 27.05.2019 Accepted on 08.06.2019)

DETOUR ECCENTRIC DOMINATION IN GRAPHS

A. Mohamed Ismayil1 , R. Priyadharshini2,*
Author’s Affiliation : 1P.G. and Research Department of Mathematics, Jamal Mohammed College, Tiruchirappalli, Tamil Nadu 620020, India. E-mail: [email protected] 2Department of Mathematics, Dhanalakshmi Srinivasan Engineering College, Perambalur, Tamil Nadu 621107, India. E-mail: [email protected]

Corresponding Author : R. Priyadharshini, Department of Mathematics, Dhanalakshmi Srinivasan Engineering College, Perambalur, Tamil Nadu 621107, India,
E-Mail:-[email protected]


Abstract

In this paper, the detour eccentric point set and detour eccentric dominating sets are defined.  The detour eccentric domination numbers are also defined.  The detour eccentric domination numbers for some standard graphs are determined. Also some theorems related to detour eccentric domination number are stated and proved.In this paper, the detour eccentric point set and detour eccentric dominating sets are defined.  The detour eccentric domination numbers are also defined.  The detour eccentric domination numbers for some standard graphs are determined. Also some theorems related to detour eccentric domination number are stated and proved.

2010 Mathematics Subject Classification- 05C12, 05C69.

Keywords

Dominating set, Domination number, Detour eccentric set, Detour eccentric dominating set, Detour eccentric domination number.
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