IJPAM: Volume 106, No. 8 (2016)

THE ANNIHILATOR DOMINATION IN SOME STANDARD
GRAPHS AND ARITHMETIC GRAPHS

Venkata Suryanarayana Rao Kavaturi$^1$, Srinivasan Vangipuram$^2$
$^1$Rajeev Gandhi Memorial College of Engineering and Technology
Nandyal, Andhra Pradesh, 518501, INDIA
$^2$Sri Venkateswara University
Tirupathi, Andhra Pradesh, 517501, INDIA


Abstract. The paper concentrates on the theory of domination in graphs. The split domination in graphs was introduced by Kulli and Janakiram. In this paper, we define a new parameter on domination called the Annihilator dominating set and Annihilator dominating number and we have investigated some properties of the Annihilator domination number of some Standard graphs and Arithmetic graphs and obtained several interesting results.

Received: February 15, 2016

AMS Subject Classification:

Key Words and Phrases: domination, annihilator domination set, annihilator domination number, standard graphs, arithmetic graphs

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DOI: 10.12732/ijpam.v106i8.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 8
Pages: 123 - 135


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