Nature of Networks in Global Connected Domination of Cartesian Product on 3-Prism and Cubical Graph

K  Thiagarajan    and R  Satheesh Babu

doi:10.17485/ijst/2016/v9iS1/108361

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Nature of Networks in Global Connected Domination of Cartesian Product on 3-Prism and Cubical Graph

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9iS1/108361

Year: 2016, Volume: 9, Issue: Special Issue 1, Pages: 1-4

Original Article

Nature of Networks in Global Connected Domination of Cartesian Product on 3-Prism and Cubical Graph

K. Thiagarajan^{1 *} and R. Satheesh Babu²

¹Department of Mathematics, PSNA College of Engineering and Technology, Kothandaraman Nagar, Dindigul – 624622, Tamil Nadu, India; [email protected]
² Department of Mathematics, Research Scholar, Bharathiar University, Coimbatore – 641046, Tamil Nadu, India; [email protected]
*Author for correspondence
Thiagarajan
Department of Mathematics
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The global connected domination number is the minimum cardinality of a global connected dominating set of G x H and is denoted by γgc(G x H) is observed. In this paper, nature of networks are identified also characterize the Cartesian Product on 3-regular graph G and H of order m x n with γgc= n where 2 ≤ n ≤ m, m is the order of G and n is the order of H in network topology
Keywords: Connected Dominating Set, Dominating Set, Global Connected Dominating set, Global Dominating Set, Global Connected Domination Number, Strongly Perfect Network, Strongly Weakly Perfect Network, and Weakly Strongly Perfect Network