journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1994 Square difference labeling and co-secure domination in middle graph of certain graphs Sarmitha G. Department of Mathematics, Faculty of College of Engineering and Technology, Kattankulathur, SRM Institute of Science and Technology, Chengalpattu, Tamil Nadu, 603203, India Vidyanandini S. Department of Mathematics, Faculty of College of Engineering and Technology, Kattankulathur, SRM Institute of Science and Technology, Chengalpattu, Tamil Nadu, 603203, India Nayak Soumya Ranjan School of Computer Engineering, KIIT Deemed to be University, Bhubaneswar, Odisha, 751024, India 27 4 1403 1413 26 06 2024

This paper focus on the dynamic and quickly developing subject of graph Domination study. In this paper, Co-Secure Domination and Square diffrence Labeling  for Middle graph of Paths and Regular Spider Graphs has been determined. The findings can be applied on protection strategy for a various communication and interconnection networks, where the routing servers as the network’s vertices and the connection between them as its edges, protecting each node in addition to the guard nodes. This ensures that the guard nodes remain secure as well, and the network as a whole is protected.

 Square difference labeling Co-secure domination Middle graph access open retracted no