Open Access
Research Article·pp. 2321–2332·Vol. 29, Issue 6Jun 2026
P. Leo Joshwa, R. Sundara Rajan, D. Ahima Emilet, S. Arulanand
Published Online: 20 Jun 2026DOI: 10.47974/JDMSC-2577 In this paper: The Sierpiński graph S(n, Km), known for its recursive and hierarchical construction, serves as a significant model for multiprocessor interconnection architectures. Its extended variant, denoted S+ (...
Open Access
Research Article·pp. 2211–2221·Vol. 29, Issue 6Jun 2026
Merlin Thomas, V. Jude Annie Cynthia, S. Prabhu, R. Sundara Rajan
Published Online: 13 Jun 2026DOI: 10.47974/JDMSC-2392 In this paper: Given a dominating set S ⊆ V(G) for a graph G, each vertex of the graph is either in S or is adjacent to at least one vertex in S. The set S is a secure dominating set of G if, for each vertex u ∈ V(G...
Open Access
Research Article·pp. 1661–1672·Vol. 29, Issue 4Apr 2026
N. Jothilakshmi, R. Sundara Rajan, Indra Rajasingh, D. Ahima Emilet
Published Online: 08 Apr 2026DOI: 10.47974/JDMSC-2387 In this paper: The ability of one architecture to simulate another is the basis for comparing networks. Embedding is used to analyze these simulations. In architectural simulation, graph embedding is considered one...
Open Access
Research Article·pp. 1673–1684·Vol. 29, Issue 4Apr 2026
G. Aishwarya, R. Sundara Rajan, T. M. Rajalaxmi, D. Ahima Emilet
Published Online: 08 Apr 2026DOI: 10.47974/JDMSC-2389 In this paper: Among interconnection topologies, the hypercube is both popular and highly attractive, extensively used in parallel computing and network design due to its versatility and scalability. Its desirable p...
Open Access
Research Article·pp. 1695–1706·Vol. 29, Issue 4Apr 2026
P. Leo Joshwa, R. Sundara Rajan, T. M. Rajalaxmi, D. Ahima Emilet
Published Online: 08 Apr 2026DOI: 10.47974/JDMSC-2394 In this paper: The Sierpińki network S(p, q) is a hierarchical, self-similar structure with broad applications in multiprocessor interconnection and VLSI design. In this work, we study its enhanced variant, S++ (p,...
Open Access
Research Article·pp. 1765–1776·Vol. 29, Issue 4Apr 2026
A. Shenbaga Priya, R. Sundara Rajan, Indra Rajasingh, V. Govindan
Published Online: 08 Apr 2026DOI: 10.47974/JDMSC-2571 In this paper: Given a graph denoted by G, a vertex cover refers to a selection S taken from the node set V(G) with the condition that every line in the edge set E(G) contains at least one of its endpoints within S....
Open Access
Research Article·pp. 1787–1797·Vol. 29, Issue 4Apr 2026
V. Kamala Kannan, R. Sundara Rajan, T. M. Rajalaxmi, D. Ahima Emilet
Published Online: 08 Apr 2026DOI: 10.47974/JDMSC-2575 In this paper: The study of graph burning is a crucial area in graph theory, providing insight into the spread of influence, information, or fire across networks. This paper investigates the burning number of triang...
Open Access
Research Article·pp. 1045–1058·Vol. 27, Issue 3Apr 2024
S. Arulanand, R. Sundara Rajan, S. Prabhu, Sudeep Stephen
Published Online: 02 Apr 2024DOI: 10.47974/JDMSC-1720 In this paper: Let G be a network, any node v ϵ V(G)\D is adjacent to atleast one node in D, then the set D is named a dominating set, represented by γ(G). A set D of nodes in a network G is called an independent...
Open Access
Research Article·pp. 231–253·Vol. 26, Issue 1Feb 2021
G. Kirithiga Nandini, Sandi Klavžar, T. M. Rajalaxmi, R. Sundara Rajan
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1935095 In this paper: In a series of papers, Imran et al. reported the total eccentricity index, the average eccentricity index, the eccentricity-based Zagreb indices, the atom-bond connectivity index, and the geometric ar...