Title: Study on generalisation of triple connected perfect dominating set in fuzzy graph

Authors: T. Gunasekar; K. Elavarasan

Addresses: Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai – 62, Tamil Nadu, India ' Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai – 62, Tamil Nadu, India

Abstract: This study presents the idea of k-connected total perfect dominating set in fuzzy graphs in this study. We have generalised connected perfect dominating set to k-connected perfect dominating set. In fuzzy graphs, new concepts are compared with previous ideas. For a few of the important classes, such as cycles and trees, are discussed. The vertex and edge k-connected perfect dominating number of fuzzy graphs are obtained. Maximal fuzzy bipartite part algorithm in fuzzy graph is also described.

Keywords: perfect domination; connected perfect domination; k-connected perfect dominating set and number.

DOI: 10.1504/IJESMS.2023.131790

International Journal of Engineering Systems Modelling and Simulation, 2023 Vol.14 No.3, pp.163 - 167

Received: 14 Aug 2021
Accepted: 13 Dec 2021
Published online: 03 Jul 2023 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article