Domination of Graph of Mobius Function

K. K. Srimitra; D. Bharathi; Shaik Sajana

doi:https://doi.org/10.14445/22315373/IJMTT-V56P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 2 | Year 2018 | Article Id. IJMTT-V56P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P512

Domination of Graph of Mobius Function

K. K. Srimitra, D. Bharathi, Shaik Sajana

Citation :

K. K. Srimitra, D. Bharathi, Shaik Sajana, "Domination of Graph of Mobius Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 95-100, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P512

Abstract

– The Domination theory is an important branch of Graph theory that has wide range of applications to various branches of Science and Technology. A subset D of the vertex set V of the graph G (V, E) is said to be a Dominating set if every vertex in V-D is dominated by at least one vertex of D. A dominating set D in which no two vertices of it are adjacent is called an Independent Dominating Set. In this paper, we determine the Independent dominating set, domination number and some results on domination for the graph of Mobius function for ‘0’, 𝐺 𝜇𝑛 (0) , which has the vertex set as the set of first n natural numbers and any two vertices a, b are adjacent if the value of Mobius function 𝜇 𝑎𝑏 = 0.

Keywords

Mobius function, Mobius graph, Independent dominating set, Domination number, Relatively primes, Adjacent.

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