• Ph.D. Mathematics, University of Jammu (2000)

Area of Specialization:

• Algebra, Graph Theory

Area of Interest:

• Algebra and Discrete Mathematics, Combinatorics and graph theory.

SCOPUS ID    21740663400      

ORCID ID       https://orcid.org/0000-0001-8423-9067

Amer. Math. Soc. MR Author ID 660932

Research gate: https://www.researchgate.net/profile/Vijay-Kumar-Bhat

Google Scholar: https://tinyurl.com/VKgooglescholar

• Professor (2012-Cont.)
• Associate Professor (2007–2012)
• Assistant Professor (2005–2007)

• Director/Head School of Applied Physics and Mathematics/School of Mathematics – 21.9.2007- 31.7.2014)

• Dean Faculty of Sciences (5.10.2012-6.10.2020)
• Dean Faculty of Humanities and Social Sciences (8.11.2012-6.7.2015; 14.9.2020-13.6.2023)
• Dean Faculty of Management (17-9.2015-19.1.2017)
• Coordinator/Director IQAC (16.7.2015-14.3.2017)
• Registrar SMVDU (1.2.2017-31.7.2020)

• 1. 1. 1. • V. K. Bhat (PI) “Transparency of skew polynomial rings over Noetherian rings” for three years (2010-2013) funded by Department of Atomic Energy, Mumbai. (10.29 Lakhs) Completed
           • V. K. Bhat (PI) “Associated prime ideals and minimal prime ideals of skew polynomial rings” for two years (2011-2013) funded by UGC. (2.0 Lakhs) Completed
           • V. K. Bhat (Visiting Expert) “Ore Extensions over Noetherian rings” for two years (2015-2017) funded by Kuwait University. (2700 KD ~ 6.5 Lakh INR) Completed.
           • V. K. Bhat (PI) “Completely prime ideals of skew polynomial rings” for three years (2017-2020) funded by SERB, DST. (4.43 Lakhs) Completed.

Publications in Journals indexed in SCI/SCIE/SCOPUS

1. 1. K. Bhat, Decomposability of iterated extensions, Int. J. Math. Game Theory Algebra, Vol. 15(1) (2006), 45-48.
   2. K. Bhat, Krull dimension of skew polynomial rings, Lobachevskii J. Math., Vol. 22 (2006), 3-6.
   3. K. Bhat, On 2-primal ore extensions, Ukr. Math. Bull., Vol. 4(2) (2007), 173-179.
   4. K. Bhat, Polynomial rings over pseudovaluation rings, Int. J. Math. Math. Sci, Article ID 20138 (2007)
   5. K. Bhat, Associated prime ideals of skew polynomial rings, Beitr. Algebra Geom., Vol. 49(1) (2008), 277-283.
   6. K. Bhat and Ravi Raina, Ore extensions over 2-primal rings, Vietnam J. Math., Vol. 36(4) (2008), 455-461.
   7. K. Bhat, Differential operator rings over 2-primal rings, Ukr. Math. Bull., Vol. 5(2) (2008), 153-158.
   8. K. Bhat, Ideal Krull symmetry of iterated extensions, Sib. Èlektron. Mat. Izv., Vol. 5 (2008), 193-199.
   9. K. Bhat, Ore extensions over 2-primal Noetharian rings, Bul. Acad. Ştiinţe Repub. Mold. Mat., Vol. 58(3) (2008), 34-43.
   10. K. Bhat, Decomposability of extension rings, Alb. J Math, Vol. 2(4) (2008), 283-291.
   11. K. Bhat and Ravi Raina, Ore extensions over 2-primal rings, Vietnam J. Math., Vol. 36(4) (2008), 455-461.
   12. K.Bhat, Transparent rings and their extensions, New York J. Math., Vol. 15 (2009), 291-299.
   13. Ajay Koul, R.B. Patel, V.K. Bhat, Double split based secure multipath routing in Mobile Adhoc Networks, IEEE explore (2009), 835-939.
   14. Ravi Raina, V. K. Bhat and Neetu Kumari, Commutativity of Prime Gamma Near Rings with $Gamma-(sigma, tau)$-derivation, Acta Math. Acad. Paedagog. Nyházi. (N.S.), Vol. 25(2) (2009), 165-173.
   15. K. Bhat, Automorphisms and derivations on the center of a ring, Alb. J Math., Vol. 3(2) (2009), 57-61.
   16. K. Bhat, Prime radical of Ore extensions over d-rigid rings, Algebra Discrete Math., No. 1 (2009), 14-19.
   17. K. Bhat, On near Pseudo-valuation rings and their extensions, Int. Electron. J. Algebra, Vol. 5 (2009), 70-77.
   18. K. Bhat, A note on Ore extensions over Pseudo valuation rings, Ukr. Math. Bull., Vol. 6(2) (2009), 150 – 156.
   19. K.Bhat, Corrigendum: On near Pseudo-valuation rings and their extensions, Int. Electron. J. Algebra, Vol. 6 (2009), 134-135.
   20. K. Bhat and Neetu Kumari, A note on s(*)-rings and their extensions, Sib. Èlektron. Mat. Izv., Vol. 6 (2009), 505-509.
   21. K. Bhat, A note on completely prime ideals of Ore extensions, Internat. J. Algebra Comput., Vol. 20(3) (2010), 457-463.
   22. Ajay Koul, R.B. Patel, V.K. Bhat, Distance and frequency based route stability estimation in Mobile Adhoc Networks, Journal of emerging technology and web intelligence, Vol. 2 (2) 2010, 89-95.
   23. K. Bhat, On semi Pseudo-valuation rings and their extensions, Lobachevskii J. Math., Vol. 31(1) (2010), 8-12.
   24. K. Bhat, Ore extensions over near pseudo valuation rings, Acta Math. Acad. Paedagog. Nyházi. (N.S.), Vol. 26(1) (2010), 45-53.
   25. K. Bhat, Ore extensions over Weak s-rigid rings and s (*)-rings, Eur. J. Pure Appl. Math., Vol. 3(4) (2010), 695-703.
   26. K. Bhat, Associated prime ideals of weak s-rigid rings and their extensions, Algebra Discrete Math., Vol.10(1) (2010), 8-17.
   27. Ajay Koul, R.B. Patel, V.K. Bhat, A System Level Security for Mobile Ad hoc Networks, IEEE Explore, (2011), 72-76.
   28. K. Bhat, Prime ideals of s(*)-rings and their extensions, Lobachevskii J. Math., Vol. 32( 1) (2011), 102–106.
   29. K. Bhat, On 2-primal Ore extensions over Noetherian s(*)-rings, Bul. Acad. Ştiinţe Repub. Mold. Mat., No. 1(65) (2011), 42-49.
   30. K. Bhat and Kiran Chib, Transparent Ore extensions over weak s-rigid rings, Sib. Èlektron. Mat. Izv., Vol. 8 (2011), 116–122.
   31. K. Bhat, Ore extensions over near pseudo valuation rings and Noetherian rings, Acta Math. Acad. Paedagog. Nyházi. (N.S.), Vol. 27(1) (2011), 1-7.
   32. K. Bhat and Neetu Kumari, On Ore extensions over near pseudo valuation rings, Int. J. Math. Game Theory Algebra, Vol. 20(1) (2011), 69-77.
   33. K. Bhat, Transparent Ore extensions over s(*)-rings, Eur. J. Pure Appl. Math, Vol. 4(3) (2011), 221-229.
   34. K. Bhat, On pseudo-valuation rings and their extensions, Algebra Discrete Math., Vol. 12(2) (2011), 25-30.
   35. K. Bhat, Ideal Krull symmetry of skew polynomial rings, Beitr. Algebra Geom., Vol. 53(2) (2012), 507-514.
   36. K. Bhat, Minimal prime ideals of skew polynomial rings and pseudo valuation rings, Czechoslovak Math. J., Vol. 63 (138) (2013), 1049–1056.
   37. K. Bhat, Completely Prime ideals of Skew-Laurent ring, Lobachevskii J. Math., Vol. 34( 1) (2013), 99–105.
   38. K. Bhat, Completely pseudo valuation rings over s(*)-rings, Int. J. Math. Game Theory Algebra, Vol. 20(4) (2013), 13-24.
   39. Neetu Kumari, Smarti Gosani and V. K. Bhat, Skew polynomial rings over weak s-rigid rings and s(*)-rings, J. Pure Appl. Math, Vol. 6(1) (2013), 59-65.
   40. K. Bhat, Minimal prime ideals of s(*)-rings and their extensions, Arm. J. Math., Vol. 5 (2) (2013), 98–104.
   41. K. Bhat, Ore extensions over near pseudo valuation rings and Noetherian rings, Acta Math. Acad. Paedagog. Nyházi. (N.S.), Vol. 29 (1) (2013), 1–7.
   42. K. Bhat, Completely pseudo valuation rings and their extensions, Pub. de l’Ins. Math., Vol. 95 (109) (2014), 249-254.
   43. K. Bhat, Skew-Laurent rings over s(*)-rings, Eur. J. Pure Appl. Math, Vol. 7(4) (2014), 387-394.
   44. Smarti Gosani and V. K. Bhat, Ore extensions over 2-primal SI rings, Int. J. Math. Game Theory Algebra, Vol. 23(2) (2014), 103-108.
   45. K. Bhat, On 2-primal Ore extensions over Noetherian weak (s,d)-rigid rings, Bul. Acad. Ştiinţe Repub. Mold. Mat., No. 2(75) (2014), 51-59.
   46. K. Bhat, On Completely Prime left ideals of Ore extensions, Lobachevskii J. Math., Vol. 36(1) (2015), 79-84.
   47. K. Bhat and Kiran Chib, Transparency of Skew polynomial ring over a commutative Noetherian ring, Eur. J. Pure Appl. Math, Vol. 8(1) (2015), 111-117.
   48. Smarti Gosani and V. K. Bhat, 2-primal Ore extensions over weak s-rigid rings, Acta Math. Acad. Paedagog. Nyházi. (N.S.), Vol. 31(2) (2015), 227-232.
   49. K. Bhat and Meeru Abrol, Ore extensions over (s,d)-rings, Eur. J. Pure Appl. Math, Vol. 8(4) (2015), 462-468.
   50. K. Bhat, Polynomial rings over near completely prime ideal rings, Int. J. Math. Game Theory Algebra, Vol. 23(4) (2015), 325-332.
   51. K. Bhat and Meeru Abrol, Skew polynomial rings over σ-skew Armendariz rings, Cogent Mathematics (2016), 3: 1183287.
   52. Vijay Kumar Bhat, Meeru Abrol, Latif Hanna, Maryam Alkandari, On (s,d)-rings over Noetherian rings, Bul. Acad. Ştiinţe Repub. Mold. Mat., 3(82) (2016), 3-11.
   53. K. Bhat, Completely generalized right primary rings and their extensions, Arm. J. Math., Vol. 9 (1) (2017), 20–26.
   54. Vijay Kumar Bhat, Pradeep Singh and Arun Dutta, Transparency of Ore extensions over left s-(S,1) rings, Bul. Acad. Ştiinţe Repub. Mold. Mat., 3(88) (2018), 14-21.
   55. Pradeep Singh and Vijay Kumar Bhat, Zero divisor graphs of finite commutative rings: A survey, Math. Appl., Vol. 15 (2020), 371-397.
   56. Vijay Kumar Bhat, Pradeep Singh and Sunny Kumar Sharma, On Weak (s, δ)-rigid rings over Noetherian rings, Acta Univ. Sapientiae Math., Vol. 12(1) (2020), 5-13.
   57. Pradeep Singh and Vijay Kumar Bhat, Adjacency matrix and Wiener index of zero divisor graph G(Zn), J. Appl. Math. Comput. Vol. 66 (2021), 717–732, DOI 10.1007/s12190-020-01460-2
   58. Pradeep Singh, Sahil Sharma, Sunny Kumar Sharma and Vijay Kumar Bhat, Metric dimension and edge metric dimension of windmill graphs, AIMS Mathematics, 6(9) (2021), 9138-9153. DOI:10.3934/math.2021531.

   59. Sunny Kumar Sharma, Hassan Raza and Vijay Kumar Bhat, Computing Edge Metric Dimension of One-Pentagonal Carbon Nanocone, Frontiers in Physics, (2021), doi: 10.3389/fphy.2021.749166.

   60. Sunny Kumar Sharma and Vijay Kumar Bhat, Metric Dimension of heptagonal circular ladder, Discrete Math. Algorithms Appl., Vol. 13(1) (2021), 2050095 (17 pages),  https://doi.org/10.1142/S1793830920500950

   61. Sunny Kumar Sharma and Vijay Kumar Bhat, Fault-tolerant metric dimension of two-fold heptagonal-nonagonal circular ladder, Discrete Math. Algorithms Appl., Vol. 14(3) (2022), https://doi.org/10.1142/S1793830921501329

   62.  Sahil Sharma & Vijay Kumar Bhat, Vertex resolvability of convex polytopes with n paths of length p, J. Comput. Math. Comput. Syst. Theory Vol. 7(2) (2022), 129-138. DOI: 10.1080/23799927.2022.2059012
   63. Sunny Kumar Sharma and Vijay Kumar Bhat, Computing vertex resolvability of some regular planar graphs, Discrete Math. Algorithms Appl., (2022), 2250086 https://doi.org/10.1142/S1793830922500860
   64.  Vijay Kumar Bhat and Sunny Kumar Sharma, Zagreb and Wiener Indices of the Conjugacy Class Graph of the Quasi-Dihedral and Generalized Quaternion Groups, Math. Inf. Sci., Vol. 16(5) (2022), 815-822. DOI:10.18576/amis/160515
   65.  Karnika Sharma, and Vijay Kumar Bhat, On the Orbits of Some Metabelian Groups, TWMS J. App. and Eng. Math. Vol. 12(3) (2022), 799-807

   66. Sohan Lal and Vijay Kumar Bhat, On the Dominant Local Metric Dimension of Some Planar Graphs, Discrete Math. Algorithms Appl., (2022). https://doi.org/10.1142/S179383092250152X

   67. Sunny Kumar Sharma,Vijay Kumar Bhat and Pradeep Singh, On Metric Dimension of Some Planar Graphs with 2n Odd Sided Faces, Discrete Math. Algorithms Appl. (2022) 2250185. https://doi.org/10.1142/S1793830922501853

   68. S. K. Sharma, H. Raza, V. K. Bhat, “Fault-tolerant resolvability of some graphs of convex polytopes”, Diskr. Mat., 34:4 (2022), 108–122.

   69. Sahil Sharma & Vijay Kumar Bhat, Fault-tolerant metric dimension of zero-divisor
       graphs of commutative rings, AKCE Int. J Graph Theory and Comb. Vol. 19(1) (2022), 24-30, DOI: 10.1080/09728600.2021.2009746

   70. Pradeep Singh and Vijay Kumar Bhat, Graph invariants of the line graph of zero divisor graph of Zn, Appl. Math. Comput. Vol. 68, (2022), 1271–1287, https://doi.org/10.1007/s12190-021-01567-0.

   71. Sunny Kumar Sharma, Vijay Kumar Bhat, Hassan Raza, Sahil Sharma, On mixed metric dimension of polycyclic aromatic hydrocarbon networks, Chemical Papers, (2022), https://doi.org/10.1007/s11696-022-02151-x

   72.  

       Karnika  Sharma, Vijay Kumar Bhat and Sunny Kumar Sharma, Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Networks, IEEE Access (2022), DOI: 10.1109/ACCESS.2022.3158982

   73. Yogesh Singh, Hassan Raza , Sunny Kumar Sharma, and Vijay Kumar Bhat, Computing Basis and Dimension of Chloroquine and Hydroxychloroquine by Using Chemical Graph Theory, Polycyclic Aromatic Compounds, Vol 43(5) (2022), 4131–4147, DOI: https://doi.org/10.1080/10406638.2022.2086269

   74. Karnika Sharma, and Vijay Kumar Bhat, On Topological Descriptors of Polycyclic Aromatic Benzenoid Systems, Polycyclic Aromatic Compounds, Vol 43(5) (2022), 4111-4130, DOI: https://doi.org/10.1080/10406638.2022.2086273

   75. Karnika Sharma, Vijay Kumar Bhat, and Sunny Kumar Sharma, On Degree-Based Topological Indices of Carbon Nanocones, ACS Omega, 7, 49, (2022)  45562–45573. https://doi.org/10.1021/acsomega.2c06287

   76. Sunny Kumar Sharma, Vijay Kumar Bhat, and Sohal Lal, Edge resolving number of pentagonal circular ladder, Univ. Craiova Ser. Mat. Inform., 50(1) (2023), 152–170.

   77. Jia-Bao Liu, Sunny Kumar Sharma, Vijay Kumar Bhat & Hassan Raza, Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid, Polycyclic Aromatic Compounds, (2023), Vol. 43(1), 190–204. https://doi.org/10.1080/10406638.2021.2019066

   78. Sahil Sharma, Vijay Kumar Bhat and Sohan Lal, Multiplicative Topological Indices of the Crystal Cubic Carbon Structure, Cryst. Res. Technol. (2023) 200222, DOI: 10.1002/crat.202200222

   79. Sahil Sharma, Vijay Kumar Bhat, Sohan Lal, Edge resolvability of crystal cubic carbon structure, Theoretical Chemistry Accounts, 142:24 (2023) DOI:10.1007/s00214-023-02964-3

   80. Karnika Sharma, Vijay Kumar Bhat, and Jia-Bao Liu, Second leap hyper-Zagreb coindex of certain benzenoid structures and their polynomials, Computational and Theoretical Chemistry, 1223.114088 (2023). DOI: 10.1016/j.comptc.2023.114088.

   81. Sunny Kumar Sharma, Malkesh Singh, and Vijay Kumar Bhat, Vertex-Edge Partition Resolvability for Certain Carbon Nanocones, Polycyclic Aromatic Compounds, (2023. https://doi.org/10.1080/10406638.2023.2206142.

   82. Sunny Kumar Sharma, Vijay Kumar Bhat, Hamiden Abd El-Wahed Khalifa & Agaeb Mahal Alanzi, Mixed Metric Dimension of Certain Carbon Nanocone Networks, Polycyclic Aromatic Compounds, (2023). DOI: https://doi.org/10.1080/10406638.2023.2211734

   83. S. Lal, V.K. Bhat, On the dominant local metric dimension of certain polyphenyl chain graphs. Theor Chem Acc 142, 56 (2023). https://doi.org/10.1007/s00214-023-02985-y

   84. Sahil Sharma, Vijay Kumar Bhat, Sohan Lal, The metric resolvability and topological characterisation of some molecules in H1N1 antiviral drugs, Molecular Simulation (2023), https://doi.org/10.1080/08927022.2023.2223718  

   85. Malkesh Singh, Sunny Kumar Sharma, Vijay Kumar Bhat, On mixed metric dimension of crystal cubic carbon structure, J. Math. Chem. (2023). https://doi.org/10.1007/s10910-023-01507-2

   86. Sunny Kumar Sharma & Vijay Kumar Bhat (2023) Independence in multiresolving sets of graphs, International Journal of Computer Mathematics: Computer Systems Theory, Vol 8(2) (2023), 99-107. DOI: 10.1080/23799927.2023.2182234

   87. Sunny Kumar Sharma, and Vijay Kumar Bhat, Metric dimension of line graph of the subdivision of the graphs of convex polytopes, TWMS J. App. and Eng. Math. Vol. 13(2) (2023), 448-461.

   88. Vijay Kumar Bhat, A note on zero divisor graph with respect to annihilator ideals of a ring, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 34 (2023), 131–137.

   89. Sohan Lal, Vijay Kumar Bhat On the local metric dimension of generalized wheel graph, Asian Eorp. J. Math.  Vol. 16(11) (2023) 2350194. https://doi.org/10.1142/S1793557123501942 

   90. Bao-Hua Xing, Sunny Kumar Sharma, Vijay Kumar Bhat, Hassan Raza, and Jia-Bao Liu, The Vertex-Edge Resolvability of Some Wheel-Related Graphs, Journal of Mathematics, Volume 2021, Article ID 1859714, 16 pages, https://doi.org/10.1155/2021/1859714.
   91. Sunny Kumar Sharma and Vijay Kumar Bhat, On Some Plane Graphs and Their Metric Dimension, Int. J. Appl. Comput. Math, 7:203 (2021). https://doi.org/10.1007/s40819-021-01141-z
   92. Sunny Kumar Sharma and Vijay Kumar Bhat, On metric dimension of plane graphs Jn, Kn and Ln, Algebra Comb. Discrete Appl., 8(3) (2021). 197-212.
   93. Sunny Kumar Sharma and Vijay Kumar Bhat, Rotationally symmetrical plane graphs and their Fault-tolerant metric dimension, Univ. Craiova Ser. Mat. Inform., 48(2) (2021). 307-318.
   94. Vijay Kumar Bhat and Pradeep Singh, On Zero Divisor Graph of Matrix Ring Mn(Zp), J. Appl. Math., 34(6) (2021), 1111-1122.  Doi: http://dx.doi.org/10.12732/ijam.v34i6.5
   95. Sharma, S.K., Bhat, V.K. On metric dimension of plane graphs with m/2 number of 10 sided faces. J Comb Optim 44 (2022) 1433–1458. https://doi.org/10.1007/s10878-022-00899-2
   96. Malkesh Singh, Vijay Kumar Bhat , On Metric Dimension of Hendecagonal Circular Ladder Hn, Univ. Craiova Ser. Mat. Inform., 50(2) (2023), 394–403.
   97. Sunny Kumar Sharma, and Vijay Kumar Bhat, On the Metric Dimension of a Class of Planar Graphs, TWMS J. App. and Eng. Math. Vol. 13(4) (2023), 1298-1310.
   98. Vijay Kumar Bhat and Karnika Sharma, On Some Topological Indices for the Orbit Graph of Dihedral Groups, Journal of Combinatorial Mathematics and Combinatorial Computing, 117 (2023), 195–208 https://doi.org/10.61091/jcmcc117-18
   99. Sunny Kumar Sharma1 and Vijay Kumar Bhat, On Vertex-Edge Resolvability for the Web Graph and Prism Related Graph, Ars Combinatoria, 157 (2023), 95–108.
   100. Karnika Sharma , Vijay Kumar Bhat and Pradeep Singh, On the Orbital Regular Graph of Finite Solvable Groups, Utilitas Mathematica, 118 (2023), 15–25.
   101. Sohan Lal, Vijay Kumar Bhat , Karnika Sharma and Sahil Sharma, Topological indices of lead sulphide using polynomial technique, Molecular Physics, Vol. 122 (3) (2024), e2249131. https://doi.org/10.1080/00268976.2023.2249131
   102. Sohan Lal, Vijay Kumar Bhat, Sahil Sharma, Topological indices and graph entropies for carbon nanotube Y-junctions, J. Math. Chem. (2023). https://doi.org/10.1007/s10910-023-01520-5
   103. Malkesh Singh, Sunny Kumar Sharma, Vijay Kumar Bhat, Vertex-Based Resolvability Parameters for Identification of Certain Chemical Structures, ACS Omega, (2023), https://doi.org/10.1021/acsomega.3c06306
   104. Shriya Negi, Sohan Lal, and Vijay Kumar Bhat , On boron nanotubes and their face index, Mechanics of Advanced Materials and Structures, (2023) https://doi.org/10.1080/15376494.2023.2269649
   105. Sohan Lal, Vijay Kumar Bhat, Sahil Sharma, Topological Descriptors of Crystal Carbon Graphite, Polycyclic Aromatic Compounds, (2023). https://doi.org/10.1080/10406638.2023.2283197
   106. Sohan Lal, Shriya Negi, and Vijay Kumar Bhat, Degree-based topological indices of boron nanotubes, AIP Advances 13, 105321 (2023). https://doi.org/10.1063/5.0164989
   107. Sunny Kumar Sharma, Vijay Kumar Bhat, and Sohal Lal, Edge resolving number of pentagonal circular ladder, Univ. Craiova Ser. Mat. Inform., 50(1) (2023), 152–170.
   108. Malkesh Singh, Vijay Kumar Bhat , On Metric Dimension of Hendecagonal Circular Ladder Hn, Univ. Craiova Ser. Mat. Inform., 50(2) (2023), 394–403.
   109. Yousef Al-Qudah, Ali Jaradat , Sunny Kumar Sharma and Vijay Kumar Bhat; Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension, Phys. Scr. 99 (2024) 055252. DOI: https://doi.org/10.1088/1402-4896/ad3add
   110. Malkesh Singh , Sohan Lal , Sunny Kumar Sharma and Vijay Kumar Bhat, Edge dependent fault-tolerance in certain carbon-based crystal structures, Phys. Scr. 99 (2024) 085224 https://doi.org/10.1088/1402-4896/ad5fcb
   111. Shriya Negi, Vijay Kumar Bhat; Face Index of Silicon Carbide Structures: An Alternative Approach, Silicon (2024) https://doi.org/10.1007/s12633-024-03119-0
   112. Vijay Kumar Bhat, Malkesh Singh , Karnika Sharma , Maryam Alkandari2 and Latif Hanna2; On the Laplacian Energy of an Orbit Graph of Finite Groups, Utilitas Mathematica, 119 (2024) 9–16 DOI: https://doi.org/10.61091/um119-02
   113. Sunny Kumar Sharma,*, and Vijay Kumar Bhat, Some Convex Polytopes Joining Paths and Their Metric Dimension, Journal of Combinatorial Mathematics and Combinatorial Computing, 120 (2024): 177–190, https://doi.org/10.61091/jcmcc120-015
   114. Malkesh Singh and Vijay Kumar Bhat, On Hendecagonal Circular Ladder and its Metric Dimension, International Journal of Computer Mathematics: Computer Systems Theory, (2024) https://doi.org/10.1080/23799927.2024.2364650
   115. K. Sharma , V. K. Bhat, Some Planar Graphs with Ten-Sided Faces and Their Metric Dimension, TWMS J. App. and Eng. Math. V.14, N.2, (2024), 834-845
   116. Shriya Negi, Vijay Kumar Bhat; Face Index of Silicon Carbide Structures: An Alternative Approach, Silicon (2024) https://doi.org/10.1007/s12633-024-03119-0
   117. Vijay Kumar Bhat, Pradeep Singh, On Diameter and Girth of Product of Zero-Divisor Graphs, TWMS J. App. and Eng. Math., 14(3) (2024), 921-933. 

• 1. V. K. Bhat, Derivations of a commutative ring, 7^th annual conf. of Jammu Math Soc., 1997.
  2. V. K. Bhat, Automorphisms and derivations, 9^th annual conf. of Jammu Math Soc., 1999.
  3. V. K. Bhat, Prime ideals of skew polynomial rings, 9^th annual conf. of Jammu Math Soc., 1999.
  4. V. K. Bhat, Prime ideals of skew polynomial rings, 10^th annual conf. of Jammu Math Soc., 2000.
  5. V. K. Bhat, Emmy Noether (Biography), Int. conf. on History and Heritage of Math Dec.16-19, 2004, Indore, India.
  6. V. K. Bhat, A note on Wilson’s Theorem, Int. conf. on History and Heritage of Math Dec.16-19, 2004, Indore, India.
  7. V. K. Bhat, Prime radical of Ore extensions over 2-primal rings, WSEAS conference on Applied Mathematics, Spain, 2005.
  8. Neeraj Nehra, R. B. Patel, V. K. Bhat, Remote data access and cache mgmt. for data grid computing, National conf. on modern trends in information and comm. Technology, 2005.
  9. V. K. Bhat, Ideal K-symmetry of iterated extensions, WSEAS conference on Applied Mathematics, Spain, 2006.
  10. V. K. Bhat, Decomposability of skew polynomial rings, Indo-US Conf. on noncommutative rings, group rings, Dec. 18-22, 2006, Chennai, India.
  11. V. K. Bhat, Skew polynomial rings over 2-primal rings, Indo-US Conf. on noncommutative rings, group rings, Dec. 18-22, 2006, Chennai, India.
  12. V. K. Bhat, On 2-primal rings Ore extensions, National seminar on recent trends in Algebra and applications, (2006) Vishakapatanam, India.
  13. V. K. Bhat, Decomposability of Extension rings, 6^th international algebraic conference, July 1-7, 2007, Ukraine.
  14. V. K. Bhat, s(*)-rings and their extensions as 2-primal rings, CIMPA-UNESCO IPM, June 15-25, 2008, Iran.
  15. V. K. Bhat and Neetu Kumari, On s(*)-rings and their extensions, Pre-ICM, University of Delhi, Dec. 20-22, 2008.
  16. V.K. Bhat, On semi pseudo valuation rings and their extensions, 5^th Asian Math. Conf., Kuala Lumpur, June 22-26, 2009.
  17. V. K. Bhat, Weak s- rigid rings and their extensions over Noetherian rings, XXI School of Algebra 2010, University of Brasilia, Brasilia, Brazil (July 25 – 31, 2010)
  18. V. K. Bhat, Associated Prime ideals of weak $sigma$-rigid rings and their extensions, ICM 2010, Hyderabad, India (August 19 – 27, 2010).
  19. V. K. Bhat, Transparency of skew polynomial rings over Noetherian rings, Int. Conf. On commutative rings, integer-valued polynomials and polynomial functions, University of Technology, Graz, Austria (Dec. 19 – 22, 2012).
  20. V. K. Bhat, Completely Prime Ideals of Skew-Laurent Rings, Annual conference of Jammu Mathematical Society, University of Jammu (February 26 – 28, 2013).
  21. V. K. Bhat, Completely generalized right primary rings and their extensions, Int. Conf. On Algebra in honour of Patrick Smith and John Clarks 70^th birthdays, Balikesir University, Turkey (August 12 – 15, 2013).
  22. V. K. Bhat, Polynomial rings over near completely prime ideal rings” Conference of Mathematics and its Applications, Kuwait, (November 14-17, 2014).
  23. V. K. Bhat, Weak s- -rigid rings and their extensions over Noetherian rings, Maltsev Meeting (Int. Conf. On Algebra, logic and applications, Novosibirsk, Russia (May 1-7, 2015).
  24. V. K. Bhat, On (s,d) – (S,1) rings and their extensions, 5^th Int. Scientific Conference: Analysis, Topology and Algebra, Čačak, Serbia (July 6-9, 2016).
  25. V. K. Bhat, On p-ideals of skew polynomial rings over Noetherian rings, 93 AAA-Workshop on General Algebra, Bern, Switzerland, Feb. 10-12, 2017.
  26. V. K. Bhat, Polynomial rings over near completely prime ideal rings, NCAANT, NM University, Jalgaon, India, Jan. 13-14, 2018.
  27. V. K. Bhat, Matrix rings as one sided σ – (S; 1) rings, Emil Artin International Conference, Yerevan State University, Armenia, May 28-31, 2018.
  28. V. K. Bhat, Classical right Quotient ring of a σ – skew Armendariz ring, AAA 96, Technische Universität Darmstadt, Germany, June 1-3, 2018.
  29. K. Bhat, Zero divisor graph and its vertex connectivity, GAGTA 2019, Bar Ilan University, Israel, May 26-30, 2019.
  30. K. Bhat, Line graph of Zero Divisor Graph, Math. Research Scholar Meet, University of Jammu, August 20-22, 2019.
  31. K. Bhat, Vertex Connectivity of Line Graph of Zero Divisor Graph, SPAS 2019, Malardalen University, Vasteras, Sweden, Sep. 30-Oct. 2, 2019.
  32. K. Bhat, Diameter and girth of tensor product of Zero Divisor Graph, AAA100, University of Krakow, Poland, Feb. 5-7, 2021.
  33. K. Bhat, Metric Dimension of Some Graphs of Convex Polytopes, 6th International Conference on Mathematics, 21-24 June, 2022, Istanbul, Turkey
  34. K. Bhat, On the orbital regular graph of finite solvable groups, Sixth International Conference of Mathematical Sciences (ICMS 2022), July 20-24, 2022, Istanbul, Turkey.
  35. K. Bhat, Fault-tolerant metric dimension of Zero Divisor Graph of commutative rings, NCRAM-22, Central University of Jammu, Oct. 20-21, 2022.
  36. K. Bhat, Independence in multiresolving sets of certain plane graphs, GTCA 2022, United Arab Emirates University, Al Ain, UAE, Nov. 13-15, 2022.
  37. K. Bhat, Edge resolvability and topological charecteristics of Zero Divisor Graphs, AGMA-2023, Odesa National University of Technology, Ukraine, May 29- June 1, 2023.
  38. K. Bhat, Incidence Matrix and Wiener Index with Python Code of Zero Divisor Graphs, AAA105 Workshop on General Algebra, Charles University, Prague, Czech Republic. May 31- June 2, 2024.

  V. K. Bhat, On Some Topological Indices for the Orbit Graph of Dihedral Group, Second International Conference on Mathematics and Applications (ICMA-2024), December 13-15, 2024 at Kathmandu, Nepal

• Author	Title	Publisher	ISBN No.	Year
  V. K. Bhat	An introduction to real analysis	Narosa Publishing House (SAARC Edition)	978-81-8487-149-4	2011
  		Alpha Science International Limited, Oxford, U.K. (Other countries)	978-1-84265-705-8	2012
  V. K. Bhat	Modern Algebra and Applications	Narosa Publishing House (SAARC Edition)	978-81-8487-328-3	2014
  		Alpha Science International Limited, Oxford, U.K. (Other countries)	978-1-84265-855-0	2014
  V. K. Bhat	Fundamentals of Complex Analysis	Narosa Publishing House (SAARC Edition)	978-81-8487-563-8	2017
  		Alpha Science International Limited, Oxford, U.K. (Other countries)	978-1-78332-273-2	2017

• Ph.D. Students Supervised – 

  • Supervised Ph.D. candidates in Algebra, Graph Theory, Theoretical Computer Science
  •  
  • (13 awarded-Ravi Raina, Neeraj Nehra, Ajay Koul, Om Prakash, Neetu Kumari, Smarti Gosani, Kiran Chib, Meeru Abrol, Pradeep Singh, Sunny Kumar Sharma, Karnika Sharma, Sahil Sharma, Sohan Lal)

  • (5 continuing– Malkesh Singh, Shriya Negi, Sahil Sharma, Sandeep Kumar, Jai Prakash)

Visited the following countries in connection with presentation of research papers/invited talks/attending research schools/external expert/examiner:

Austria, Switzerland, Sweden, Germany, Czech Republic, Armenia, Ukraine, Serbia, Russia, Brazil, Israel, Iran, Malaysia, Philippines, Kuwait, UAE, Ethiopia, Turkey, Nepal.

Advanced Topics in Algebra (IBHM 10th Semester/M.Sc. Mathematics 4th Semester) Lecture Plan Link: Advanced Topics in Algebra

Modern Algebra (B.Tech Mathematics and Computing 2nd Semester) Lesson Plan Modern Algebra