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Citations
741

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Publications
198

About

Vijay Kumar Bhat is a researcher at Shri Mata Vaishno Devi University. With over four decades of active research, he has published 117 papers, spanning from 1970 to 2026. His work primarily focuses on chemical graph theory and its applications in identifying certain chemical structures, carbon nanocones, and Ramanujan graphs, with a significant emphasis on topological indices, resolvability parameters, and computational analysis.

Research areas

  • Mathematics
  • Computer science
  • Combinatorics
  • Graph
  • Discrete mathematics

Publications (198)

Sorted by most cited.

  1. Metric dimension of heptagonal circular ladder

    Discrete Mathematics, Algorithms and Applications1970journal article

    View DOI
    53 cites
  2. Topological indices and graph entropies for carbon nanotube Y-junctions

    2023

    View DOI
    36 cites
  3. 36 cites
  4. A Framework for Distributed Dynamic Load Balancing in Heterogeneous Cluster

    2007

    View DOI
    35 cites
  5. Adjacency matrix and Wiener index of zero divisor graph Γ(Z<sub>n</sub>)

    Journal of Applied Mathematics and Computing1970journal article

    View DOI
    35 cites
  6. Fault-tolerant metric dimension of two-fold heptagonal-nonagonal circular ladder

    Discrete Mathematics, Algorithms and Applications1970journal article

    View DOI
    34 cites
  7. On Some Plane Graphs and Their Metric Dimension

    International Journal of Applied and Computational Mathematics1970journal article

    View DOI
    23 cites
  8. Multiplicative Topological Indices of the Crystal Cubic Carbon Structure

    Crystal Research and Technology1970journal article

    View DOI
    21 cites
  9. The Vertex-Edge Resolvability of Some Wheel-Related Graphs

    Journal of Mathematics1970journal article

    View DOI
    20 cites
  10. Routing with load balancing in ad hoc network: A mobile agent approach

    Proceedings - 6th IEEE/ACIS International Conference on Computer and Information Science, ICIS 2007; 1st IEEE/ACIS International Workshop on e-Activity, IWEA 20071970conference paper

    View DOI
    19 cites
  11. 17 cites
  12. Enumeration of directed compact site animals in two dimensions

    1986

    View DOI
    16 cites
  13. Second leap hyper-Zagreb coindex of certain benzenoid structures and their polynomials

    Computational and Theoretical Chemistry1970journal article

    View DOI
    16 cites
  14. Zero-divisor graphs of finite commutative rings: a survey

    2020

    13 cites
  15. Associated prime ideals of skew polynomial rings.

    2008

    13 cites
  16. 12 cites
  17. Graph invariants of the line graph of zero divisor graph of Z<sub>n</sub>

    Journal of Applied Mathematics and Computing1970journal article

    View DOI
    12 cites
  18. On the dominant local metric dimension of some planar graphs

    Discrete Mathematics, Algorithms and Applications1970journal article

    View DOI
    11 cites
  19. Fault-tolerant metric dimension of zero-divisor graphs of commutative rings

    AKCE International Journal of Graphs and Combinatorics1970journal article

    View DOI
    11 cites
  20. On boron nanotubes and their face index

    2023

    View DOI
    9 cites
  21. Topological Descriptors of Crystal Carbon Graphite

    Polycyclic Aromatic Compounds2024journal article

    View DOI
    8 cites
  22. Face Index of Silicon Carbide Structures: An Alternative Approach

    2024

    View DOI
    8 cites
  23. 8 cites
  24. Edge resolvability of crystal cubic carbon structure

    Theoretical Chemistry Accounts1970journal article

    View DOI
    8 cites
  25. On Topological Descriptors of Polycyclic Aromatic Benzenoid Systems

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    8 cites
  26. A note on completely prime ideals of ore extensions

    International Journal of Algebra and Computation1970journal article

    View DOI
    8 cites
  27. Distance and frequency based route stability estimation in Mobile Adhoc Networks

    Journal of Emerging Technologies in Web Intelligence1970journal article

    View DOI
    8 cites
  28. On the local metric dimension of generalized wheel graph

    2023

    View DOI
    7 cites
  29. A note on zero divisor graph over rings

    2007

    View DOI
    7 cites
  30. Transparent rings and their extensions

    2009

    6 cites
  31. MASD: Mobile agent based service discovery in ad hoc networks

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)1970book

    View DOI
    6 cites
  32. A multi-agent system for distributed dynamic load balancing on cluster

    Proceedings - 2006 14th International Conference on Advanced Computing and Communications, ADCOM 20061970conference paper

    View DOI
    6 cites
  33. On metric dimension of some planar graphs with 2 n odd sided faces

    Discrete Mathematics, Algorithms and Applications1970journal article

    View DOI
    6 cites
  34. On the dominant local metric dimension of certain polyphenyl chain graphs

    Theoretical Chemistry Accounts1970journal article

    View DOI
    6 cites
  35. On metric dimension of plane graphs with m2 number of 10 sided faces

    Journal of Combinatorial Optimization1970journal article

    View DOI
    6 cites
  36. Exponent v<sub>perp</sub>for 2D directed compact site animals

    1988

    View DOI
    5 cites
  37. Polynomial rings over pseudovaluation rings

    International Journal of Mathematics and Mathematical Sciences1970journal article

    View DOI
    5 cites
  38. Face index computation of certain polycyclic aromatic hydrocarbons

    2025

    View DOI
    4 cites
  39. On carbon nanocones CNC m [ n ] and their face index

    Phosphorus, Sulfur, and Silicon and the Related Elements2025journal article

    View DOI
    4 cites
  40. Edge resolving number of pentagonal circular ladder

    Annals of the University of Craiova Mathematics and Computer Science Series2023journal article

    View DOI
    4 cites
  41. Double split based secure multipath routing in ad hoc networks

    ARTCom 2009 - International Conference on Advances in Recent Technologies in Communication and Computing1970conference paper

    View DOI
    4 cites
  42. Vertex-Edge Partition Resolvability for Certain Carbon Nanocones

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    4 cites
  43. ON NEAR PSEUDO-VALUATION RINGS AND THEIR EXTENSIONS

    2009

    3 cites
  44. 2D directed compact site animals on a lattice of finite width

    1987

    View DOI
    3 cites
  45. Mixed Metric Dimension of Certain Carbon Nanocone Networks

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    3 cites
  46. Vertex resolvability of convex polytopes with n-paths of length p

    International Journal of Computer Mathematics: Computer Systems Theory1970journal article

    View DOI
    3 cites
  47. On Vertex-Edge Resolvability for the Web Graph and Prism Related Graph

    2023

    View DOI
    2 cites
  48. On Some Topological Indices for the Orbit Graph of Dihedral Groups

    2023

    View DOI
    2 cites
  49. On metric dimension of hendecagonal circular ladder $H_{n}$

    Annals of the University of Craiova Mathematics and Computer Science Series2023journal article

    View DOI
    2 cites
  50. PCA Based Components Selection Criteria for Computationally Efficient Physical Layer Key Generation (PLKG) System

    2023

    View DOI
    2 cites
  51. Fiber Wireless (FiWi) Access Network Planning &amp; Deployment usingReptile Search Algorithm

    2023

    View DOI
    2 cites
  52. A Survey on Different Application Areas based on RSS (Received Signal Strength) and Possible Hardware and Software Tools for the Collection of RSS

    2022

    View DOI
    2 cites
  53. Отказоустойчивая разделимость некоторых графов выпуклых многогранников

    2022

    View DOI
    2 cites
  54. Load Balancing In Heterogeneous P2P Systems Using Mobile Agents

    2008

    View DOI
    2 cites
  55. Transparency of σ(∗)-Rings and Their Extensions

    2008

    2 cites
  56. 2 cites
  57. Independence in multiresolving sets of graphs

    International Journal of Computer Mathematics: Computer Systems Theory1970journal article

    View DOI
    2 cites
  58. ON ZERO DIVISOR GRAPH OF MATRIX RING Mn (Zp)

    International Journal of Applied Mathematics1970journal article

    View DOI
    2 cites
  59. On face index for some oxide and silicate networks

    Phosphorus, Sulfur, and Silicon and the Related Elements2026journal article

    View DOI
    1 cites
  60. General Randić and general sum connectivity indices of the conjugacy class graph

    2025

    View DOI
    1 cites
  61. Computing Some Resolvability Parameters for Two-Fold Circular Ladder

    Journal of Interconnection Networks2025journal article

    View DOI
    1 cites
  62. ev-degree and ve-degree based Topological Indices of Silicon Carbide Structures

    2025

    View DOI
    1 cites
  63. Hybrid <scp>KuFaI</scp>: A novel secure key generation algorithm using <scp>fast independent component analysis</scp> for physical layer security techniques

    2024

    View DOI
    1 cites
  64. On the Orbital Regular Graph of Finite Solvable Groups

    2024

    View DOI
    1 cites
  65. On vertex resolvability of a circular ladder of nonagons

    Notes on Number Theory and Discrete Mathematics2023journal article

    View DOI
    1 cites
  66. Network Coding with Parallel Path Protection for Multiple Link Failure inWOBAN

    2023

    View DOI
    1 cites
  67. Microsoft Excel powered virtual electron diffraction tube experiment as an enhanced educational tool

    2023

    View DOI
    1 cites
  68. Fault-tolerant resolvability of some graphs of convex polytopes

    2023

    View DOI
    1 cites
  69. Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid

    Polycyclic Aromatic Compounds2021journal article

    View DOI
    1 cites
  70. On Fault-Tolerant Resolvability of Double Antiprism and its related Graphs

    2021

    View DOI
    1 cites
  71. Ore Extensions over ($\sigma, \delta$)-Rings

    2015

    1 cites
  72. Ore extensions over weak (\sigma,\delta)-rigid rings

    2014

    View DOI
    1 cites
  73. Ore Extensions over Weak (Sigma)-rigid Rings and (sigma(*))-rings

    2010

    1 cites
  74. DECOMPOSABILITY OF EXTENSION RINGS

    2008

    View DOI
    1 cites
  75. Trust Aware Rouitng with Load Balancing in Ad Hoc Network Using Mobile Agent

    2007

    View DOI
    1 cites
  76. Associated prime ideals of enveloping algebras: (Differential operator rings)

    2007

    View DOI
    1 cites
  77. Associated prime ideals of a complete lattice

    2007

    View DOI
    1 cites
  78. Ore extensions over pseudo-valuation rings

    2007

    View DOI
    1 cites
  79. Arithmetic encoding based dynamic source routing for Ad-Hoc networks

    Journal of Computer Science1970journal article

    View DOI
    1 cites
  80. Prime ideals of σ(*)-rings and their extensions

    Lobachevskii Journal of Mathematics1970journal article

    View DOI
    1 cites
  81. Computation of face indices for octagon tilings and titania nanostructures

    2026

    View DOI
    0 cites
  82. Metric Dimension and General Codes of Ramanujan Graphs

    2026

    View DOI
    0 cites
  83. Harary index of the zero divisor graph of upper triangular matrices

    2026

    View DOI
    0 cites
  84. Unique fault-tolerance resolvability codes for certain generalized convex polytopes with applications

    Discrete Mathematics, Algorithms and Applications2026journal article

    View DOI
    0 cites
  85. Vertex-based resolvability parameters for some families of convex polytopes

    Discrete Mathematics, Algorithms and Applications2026journal article

    View DOI
    0 cites
  86. Computation of the face index of certain graphene nanostructures

    2026

    View DOI
    0 cites
  87. Computation of edge metric dimension of zero divisor graph of matrices

    2026

    View DOI
    0 cites
  88. On metric dimension of tridecagonal circular ladder

    Annals of the University of Craiova Mathematics and Computer Science Series2025journal article

    View DOI
    0 cites
  89. Zero divisor graph of endomorphism ring of direct product of groups

    2025

    View DOI
    0 cites
  90. Some Symmetrical Planar Structures with their Fault-Tolerant Metric Dimension

    2025

    View DOI
    0 cites
  91. RSSI Based Indoor Localization Using Machine Learning

    2025

    View DOI
    0 cites
  92. Fault-Tolerant Metric Dimension of Generalised Petersen Graph P(n,3)

    2025

    View DOI
    0 cites
  93. On metric dimension of generalized subdivision prism graph

    Ain Shams Engineering Journal2025journal article

    View DOI
    0 cites
  94. On boron nanotubes and their ev - and ve - degree-based topological indices

    Molecular Crystals and Liquid Crystals2025journal article

    View DOI
    0 cites
  95. Fault-tolerant resolvability of double antiprism and its related graphs

    Annals of the University of Craiova Mathematics and Computer Science Series2025journal article

    View DOI
    0 cites
  96. Human Activity Recognition Using Non-Invasive Wi-Fi RSSI and Hybrid Machine Learning

    2025

    View DOI
    0 cites
  97. Planar graph with n 2 six and ten sided faces with its metric dimension

    Discrete Mathematics, Algorithms and Applications2025journal article

    View DOI
    0 cites
  98. On Strong Metric Dimension of Cubic Carbon Crystal

    2025

    View DOI
    0 cites
  99. Computation of mixed resolvability for a circular ladder and its unbounded nature

    2025

    View DOI
    0 cites
  100. RSSI Enabled Routing in Fiber Wireless Access Network

    2025

    View DOI
    0 cites
  101. Kalman filtering based preprocessing for secure key generation

    2025

    View DOI
    0 cites
  102. Some Convex Polytopes Joining Paths and Their Metric Dimension

    2024

    View DOI
    0 cites
  103. On hendecagonal circular ladder and its metric dimension

    2024

    View DOI
    0 cites
  104. On the Laplacian Energy of an Orbit Graph of Finite Groups

    2024

    View DOI
    0 cites
  105. Review of: "Zero-Divisor Graphs of ℤ_n, their products and D_n"

    2023

    View DOI
    0 cites
  106. On Mixed Metric Dimension of Crystal Cubic Carbon Structure

    2023

    View DOI
    0 cites
  107. Location Number of Edges and Vertices of Two-Fold Hepta-Pentagonal Circular Ladder

    2023

    View DOI
    0 cites
  108. Edge Resolvability of Crystal Cubic Carbon Structure

    2022

    View DOI
    0 cites
  109. Unbounded Mixed Resolvability of Web Graph and Prism Related Graph

    2021

    View DOI
    0 cites
  110. Metric and Edge Metric Dimension of Zigzag Edge Coronoid Fused with Starphene

    2021

    View DOI
    0 cites
  111. Rotationally symmetrical plane graphs and their Fault-tolerant metric dimension

    Annals of the University of Craiova - Mathematics and Computer Science Series2021journal article

    View DOI
    0 cites
  112. Edge Resolvability for Circular Ladder of Heptagons

    2021

    View DOI
    0 cites
  113. Metric Dimension of Radially Symmetrical Plane Graph Obtained from Heptagonal Circular Ladder

    2021

    0 cites
  114. Matrix rings as one sided <i>σ</i>-(<i>S</i>, 1) rings

    2020

    View DOI
    0 cites
  115. Prime radical of Ore extensions over \(\delta\)-rigid rings

    2018

    0 cites
  116. Completely generalized right primary rings and their extensions

    2017

    0 cites
  117. Skew polynomial rings over σ-skew Armendariz rings

    Cogent Mathematics2016journal article

    View DOI
    0 cites
  118. SI-rings and their extensions as 2-primal rings

    2016

    0 cites
  119. Transparency of Polynomial Ring Over a Commutative Noetherian Ring

    2015

    0 cites
  120. Ore Extensions Over (,)-Rings

    2015

    0 cites
  121. Skew-Laurent Rings over $\sigma(*)$-rings

    2014

    0 cites
  122. 2-primal weak (σ,δ)-rigid rings

    2014

    0 cites
  123. Minimal prime ideals of $\\sigma(*)$-rings and their extensions. Armenian Journal of Mathematics

    2014

    0 cites
  124. A note on near completely prime ideal rings over σ(*)-rings

    2013

    0 cites
  125. Ore extensions over Noetherian δ-rings

    2013

    0 cites
  126. Skew Polynomial Rings over Weak sigma-rigid Rings and sigma(*)-rings

    2013

    0 cites
  127. Skew Polynomial Rings over Weak -rigid Rings and (∗)-rings

    2013

    0 cites
  128. Minimal Prime Ideals of 2-Primal Rings and their Extensions

    2012

    0 cites
  129. Transparent Ore Extensions over Sigma-(∗)-rings

    2011

    0 cites
  130. Transparent Ore Extensions over (∗)-rings

    2011

    0 cites
  131. AUTOMORPHISMS AND DERIVATIONS ON THE CENTER OF A RING

    2009

    View DOI
    0 cites
  132. Research Article Polynomial Rings over Pseudovaluation Rings

    2007

    0 cites
  133. A Multi-Agent system forDistributed Dynamic LoadBalancing on Cluster

    2006

    0 cites
  134. Ore extensions over \delta-rigid rings

    2006

    View DOI
    0 cites
  135. Random walk on a self-avoiding walk with superconducting local bridges

    1989

    View DOI
    0 cites
  136. Prime radical of ore extensions over δ-rings

    International Journal of Pure and Applied Mathematics1970journal article

    0 cites
  137. Transparent rings and their extensions

    New York Journal of Mathematics1970journal article

    0 cites
  138. Associated prime ideals of skew polynomial rings

    Beitrage zur Algebra und Geometrie1970journal article

    0 cites
  139. Trust aware routing with load balancing in ad hoc network using mobile agent

    Proceedings of the 15th International Conference on Advanced Computing and Communications, ADCOM 20071970conference paper

    0 cites
  140. A note on Krull dimension of skew polynomial rings

    Lobachevskii Journal of Mathematics1970journal article

    0 cites
  141. Discrete math course [2] (multiple letters)

    Notices of the American Mathematical Society1970journal article

    0 cites
  142. Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid

    Polycyclic Aromatic Compounds1970journal article

    View DOI
    0 cites
  143. Computing vertex resolvability of some regular planar graphs

    Discrete Mathematics, Algorithms and Applications1970journal article

    View DOI
    0 cites
  144. METRIC DIMENSION OF LINE GRAPH OF THE SUBDIVISION OF THE GRAPHS OF CONVEX POLYTOPES

    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics1970journal article

    0 cites
  145. METRIC DIMENSION OF LINE GRAPH OF THE SUBDIVISION OF THE GRAPHS OF CONVEX POLYTOPES

    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics1970journal article

    0 cites
  146. 0 cites
  147. ON THE ORBITS OF SOME METABELIAN GROUPS

    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics1970journal article

    0 cites
  148. ON THE ORBITS OF SOME METABELIAN GROUPS

    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics1970journal article

    0 cites
  149. Rotationally symmetrical plane graphs and their Fault-tolerant metric dimension

    Annals of the University of Craiova, Mathematics and Computer Science Series1970journal article

    0 cites
  150. On metric dimension of plane graphs j<sub>n</sub>, k<sub>n</sub> and l<sub>n</sub>

    Journal of Algebra Combinatorics Discrete Structures and Applications1970journal article

    View DOI
    0 cites
  151. Rotationally symmetrical plane graphs and their Fault-tolerant metric dimension

    Annals of the University of Craiova, Mathematics and Computer Science Series1970journal article

    0 cites
  152. On weak (σ, δ)-rigid rings over Noetherian rings

    Acta Universitatis Sapientiae, Mathematica1970journal article

    View DOI
    0 cites
  153. Zero-divisor graphs of finite commutative rings: A survey

    Surveys in Mathematics and its Applications1970journal article

    0 cites
  154. Transparency of ore extensions over left σ-(S, 1) rings

    Buletinul Academiei de Stiinte a Republicii Moldova. Matematica1970journal article

    0 cites
  155. On (σ-δ)-rings over Noetherian rings

    Buletinul Academiei de Stiinte a Republicii Moldova. Matematica1970journal article

    0 cites
  156. 2-Primal ore extensions over weak σ-rigid rings

    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis1970journal article

    0 cites
  157. On completely prime left ideals of Ore extensions

    Lobachevskii Journal of Mathematics1970journal article

    View DOI
    0 cites
  158. Completely pseudo-valuation rings and their extensions

    Publications de l'Institut Mathematique1970journal article

    View DOI
    0 cites
  159. On 2-primal Ore extensions over Noetherian Weak σ-rigid rings

    Buletinul Academiei de Stiinte a Republicii Moldova. Matematica1970journal article

    0 cites
  160. Completely prime ideal rings and their extensions

    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis1970journal article

    0 cites
  161. Completely prime ideals of skew-Laurent rings

    Lobachevskii Journal of Mathematics1970journal article

    View DOI
    0 cites
  162. Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings

    Czechoslovak Mathematical Journal1970journal article

    View DOI
    0 cites
  163. Ideal Krull-symmetry of skew polynomial rings

    Beitrage zur Algebra und Geometrie1970journal article

    View DOI
    0 cites
  164. A system level security for mobile ad hoc networks

    ICCRD2011 - 2011 3rd International Conference on Computer Research and Development1970conference paper

    View DOI
    0 cites
  165. On 2-primal ore extensions over noetherian σ(*)-rings

    Buletinul Academiei de Stiinte a Republicii Moldova. Matematica1970journal article

    0 cites
  166. Ore extensions over near pseudo-valuation rings and noetherian rings

    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis1970journal article

    0 cites
  167. Transparent ore extensions over weak σ-rigid rings

    Siberian Electronic Mathematical Reports1970journal article

    0 cites
  168. On semi-pseudo-valuation rings and their extensions

    Lobachevskii Journal of Mathematics1970journal article

    View DOI
    0 cites
  169. Ore extensions over near pseudo-valuation rings

    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis1970journal article

    0 cites
  170. Commutativity of prime γ-near rings with Γ - (σ, τ)-derivation

    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis1970journal article

    0 cites