The Central Metric Dimension of the k-Corona Graph Liliek Susilowati, Anis Nur Fitria, Inna Kuswandari, Savari Prabhu, Darmaji Statistics Optimization and Information Computing, 2026 The metric dimension is the minimum cardinality of a subset of the vertex set of a graph that uniquely represents each vertex in a graph. The central set is a set of vertices with minimum eccentricity. This central set concept can be used to determine strategic public service locations, such that accessible transportation can be reached from all regions. The central metric dimension is the minimum cardinality of a resolving set that includes the central set. This study aims to determine the central metric dimension in k-corona graph. The k-corona operation of G and H denoted by GoH is a generalization of the corona operation, where a new graph is formed by connecting each vertex of a graph G to k copies of graph H. The results show that the central metric dimension of the k-corona graph depends on the central set of G , the order of G , the value of k, and the metric dimension of H .
On certain resolving parameters of tree derived architectures Journal of Combinatorial Mathematics and Combinatorial Computing, 2015
RECENT SCHOLAR PUBLICATIONS
Wiener and Average Distance of Irregular Square-Cell Configuration S Prabhu, S Klavžar, M Anitha, M Arulperumjothi, P Manuel arXiv preprint arXiv:2604.08992 , 2026 2026
Topological, Graph-Spectral Properties, NMR and ESR Spectral Patterns of Hydrogen-Bonded Nanosheets of Boric Acid S Prabhu, J Sahaya Vijay, V Manimozhi, M Arockiaraj, S Roy, ... Journal of Cluster Science 37 (2), 48 , 2026 2026
Metric dimension of cycloparaphenylene and its derived molecular structures S Prabhu, DSR Jeba, M Arulperumjothi, P Manuel Scientific Reports , 2026 2026
Fault-tolerant resolving power domination of fractal cubic network S Prabhu, AK Arulmozhi, MA Henning, M Arulperumjothi Journal of Parallel and Distributed Computing, 105243 , 2026 2026
Fault-tolerant basis and fault-tolerant edge basis of three classes of French windmill graphs S Prabhu, PA Kiruba, A Davoodi, P Manuel Ain Shams Engineering Journal 17 (2), 103922 , 2026 2026
Study of intermetallic compound formation on 316L SS during electrodeposition process with Al-Zn-Mg-Si alloy coating VM Muralidaran, M Selvambikai, S Prabhu, V Divya Sustainable Surface Engineering Approaches for Industrial Applications, 92-105 , 2026 2026
The Central Metric Dimension of the 𝒌-Corona Graph L Susilowati, AN Fitria, I Kuswandari, S Prabhu Statistics, Optimization & Information Computing 15 (3), 1692-1707 , 2026 2026
Average distance between the processors of biswapped networks S Prabhu, M Anitha, NH Vidyarth, P Manuel Scientific Reports , 2025 2025
ON VARIOUS DISTANCE-BASED TOPOLOGICAL INDICES OF HEXABENZOCORONENE WITH BITRAPEZIUM STRUCTURE S Prabhu, S Abraham, BK Jose, M Arulperumjothi Palestine Journal of Mathematics 14 (III), 110–122 , 2025 2025
MOLECULAR TOPOLOGICAL CHARACTERIZATION OF TESSELLATIONS OF RECTANGULAR KEKULENE STRUCTURES S Prabhu, S Salu, BK Jose, M Arulperumjothi Palestine Journal of Mathematics 14 (III), 134-146 , 2025 2025
Metric dimensions of generalized Sierpiński graphs over squares S Prabhu, TJ Janany, S Klavžar Applied Mathematics and Computation 505, 129528 , 2025 2025 Citations: 16
Topological and entropic characterization of nitrogenated holey graphene S Prabhu, M Arulperumjothi, N Jose Parvin Praveena, P Manuel Scientific Reports 15 (1), 37833 , 2025 2025
Ambient-Stable Electroactive Graphene Nanoribbons: A Comprehensive Analysis of Distance, Degree, Energetics and 13 C NMR Signals S Prabhu, S Abraham, BK Jose, M Arulperumjothi, T Augustine Combinatorial Chemistry & High Throughput Screening , 2025 2025
Edge metric basis and its fault tolerance over certain interconnection networks S Prabhu, TJ Janany, M Arulperumjothi, IG Yero Journal of Parallel and Distributed Computing 204, 105141 , 2025 2025 Citations: 5
Computing fault-tolerant metric dimension of graphs using their primary subgraphs S Prabhu, S Klavžar, KB Dharan, S Radha arXiv preprint arXiv:2509.14300 , 2025 2025
Corrigendum to “Several distance and degree-based molecular structural attributes of cove-edged graphene nanoribbons”[Heliyon Volume 10, Issue 15, August 2024, Article e34944] S Prabhu, G Murugan, M Imran, M Arockiaraj, MM Alam, MU Ghani Heliyon 11 (14) , 2025 2025
Molecular Characterization of Three Classes of Bow-Tie-Shaped Graphene Nanoflakes by Polynomials as Alternative for Their Computed Energies and Spectral Patterns S Prabhu, M Arulperumjothi, L Jäntschi, V Manimozhi, ... ACS omega 10 (35), 40291-40303 , 2025 2025 Citations: 4
Pair mean cordial labeling of udukkai, octopus, drum and fire cracker graphs. R Ponraj, S Prabhu Discrete Mathematics, Algorithms & Applications 7 (6) , 2025 2025 Citations: 1
Molecular characterization and information entropies of chevron-like graphene nanoribbons with chemical applications SM Prabhu, AR Vijayalakshmi, S Govardhan, S Prabhu Scientific reports 15 (1), 20632 , 2025 2025 Citations: 1
Acyclic and star coloring parameters of fractal cubic networks C Renuga, D Meiyappan, S Prabhu, M Arulperumjothi Scientific Reports 15 (1), 15100 , 2025 2025 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Distance based and bond additive topological indices of certain repurposed antiviral drug compounds tested for treating COVID‐19 JB Liu, M Arockiaraj, M Arulperumjothi, S Prabhu International Journal of Quantum Chemistry 121 (10), e26617 , 2021 2021 Citations: 92
Molecular topological characterization of three classes of polycyclic aromatic hydrocarbons S Prabhu, G Murugan, M Arockiaraj, M Arulperumjothi, V Manimozhi Journal of Molecular Structure 1229, 129501 , 2021 2021 Citations: 58
On certain distance and degree based topological indices of Zeolite LTA frameworks S Prabhu, G Murugan, M Cary, M Arulperumjothi, JB Liu Materials Research Express 7 (5), 055006 , 2020 2020 Citations: 56
Structural analysis of three types of PAHs using entropy measures K Julietraja, P Venugopal, S Prabhu, AK Arulmozhi, MK Siddiqui Polycyclic Aromatic Compounds 42 (7), 4101-4131 , 2022 2022 Citations: 48
Degree-and irregularity-based molecular descriptors for benzenoid systems YM Chu, K Julietraja, P Venugopal, MK Siddiqui, S Prabhu The European Physical Journal Plus 136 (1), 1-17 , 2021 2021 Citations: 47
Twin vertices in fault-tolerant metric sets and fault-tolerant metric dimension of multistage interconnection networks S Prabhu, V Manimozhi, M Arulperumjothi, S Klavžar Applied Mathematics and Computation 420, 126897 , 2022 2022 Citations: 43
M-polynomial and degree-based molecular descriptors of certain classes of benzenoid systems K Julietraja, P Venugopal, S Prabhu, JB Liu Polycyclic Aromatic Compounds 42 (6), 3450-3477 , 2022 2022 Citations: 41
Redefining fractal cubic networks and determining their metric dimension and fault-tolerant metric dimension M Arulperumjothi, S Klavžar, S Prabhu Applied Mathematics and Computation 452, 128037 , 2023 2023 Citations: 40
Topological characterization of hexagonal and rectangular tessellations of kekulenes as traps for toxic heavy metal ions M Arockiaraj, S Prabhu, M Arulperumjothi, SRJ Kavitha, ... Theoretical Chemistry Accounts 140 (4), 43 , 2021 2021 Citations: 37
Topological indices and entropies of triangular and rhomboidal tessellations of kekulenes with applications to NMR and ESR spectroscopies S Govardhan, S Roy, K Balasubramanian, S Prabhu Journal of Mathematical Chemistry 61 (7), 1477-1490 , 2023 2023 Citations: 30
On certain topological indices of three-layered single-walled titania nanosheets M Arockiaraj, JB Liu, M Arulperumjothi, S Prabhu Combinatorial Chemistry & High Throughput Screening 25 (3), 483-495 , 2022 2022 Citations: 30
Fault-tolerant basis of generalized fat trees and perfect binary tree derived architectures: S. Prabhu et al. S Prabhu, V Manimozhi, A Davoodi, JLG Guirao The Journal of Supercomputing 80 (11), 15783-15798 , 2024 2024 Citations: 27
Molecular structural characterization of superphenalene and supertriphenylene M Radhakrishnan, S Prabhu, M Arockiaraj, M Arulperumjothi International Journal of Quantum Chemistry 122 (2), e26818 , 2022 2022 Citations: 23
On independent resolving number of TiO 2 [ m , n ] nanotubes S Prabhu, T Flora, M Arulperumjothi Journal of Intelligent & Fuzzy Systems 35 (6), 6421-6425 , 2018 2018 Citations: 23
Computational analysis of some more rectangular tessellations of kekulenes and their molecular characterizations S Prabhu, M Arulperumjothi, MU Ghani, M Imran, S Salu, BK Jose Molecules 28 (18), 6625 , 2023 2023 Citations: 22
Computation of neighborhood M-polynomial of three classes of polycyclic aromatic hydrocarbons S Govardhan, S Roy, S Prabhu, MK Siddiqui Polycyclic Aromatic Compounds 43 (6), 5519-5535 , 2023 2023 Citations: 21
Molecular structural characterization of cycloparaphenylene and its variants S Prabhu, G Murugan, SK Therese, M Arulperumjothi, MK Siddiqui Polycyclic Aromatic Compounds 42 (8), 5550-5566 , 2022 2022 Citations: 20
Molecular structural characterization of supercorenene and triangle-shaped discotic graphene B Saravanan, S Prabhu, M Arulperumjothi, K Julietraja, MK Siddiqui Polycyclic Aromatic Compounds 43 (3), 2080-2103 , 2023 2023 Citations: 19
Topological characterization of cove-edged graphene nanoribbons with applications to NMR spectroscopies S Govardhan, S Roy, S Prabhu, M Arulperumjothi Journal of Molecular Structure 1303, 137492 , 2024 2024 Citations: 18