Perfect Vertex (Edge) Domination in Fuzzy Graphs

S  Ramya   and S  Lavanya

doi:10.17485/ijst/2016/v9i4/70772

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Perfect Vertex (Edge) Domination in Fuzzy Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i4/70772

Year: 2016, Volume: 9, Issue: 4, Pages: 1-5

Original Article

Perfect Vertex (Edge) Domination in Fuzzy Graphs

S. Ramya^1* and S. Lavanya²

¹R. M. K. Engineering College, Bharathiar University, Coimbatore, R. S. M. Nagar, Kavaraipettai - 601206, Tamil Nadu, India; [email protected]²Department of Mathematics, D. G. Vaishnav College, Chennai - 600106, Tamil Nadu, India

*Author For Correspondence
S. Ramya R. M. K. Engineering College, Bharathiar University, Coimbatore, R. S. M. Nagar, Kavaraipettai - 601206, Tamil Nadu, India; [email protected]

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

Abstract

The objective of this paper is to generalize and improve the domination variant called perfect domination. In this paper we have defined and derived some results related to the two new parameters perfect k-domination and perfect edge domination. The same can be applied in the networks arising from system of parallel computers.

Keywords: Fuzzy Graph, Fuzzy Dominating Set, Perfect K-Dominating Set, Perfect Edge Dominating Set, Perfect K-Edge Dominating Set