Dr. Sunny Kumar Sharma

• Ph.D. in Mathematics – Shri Mata Vaishno Devi University, Katra (2022)
  Specialization: Graph Theory, Algebra
• M.Sc. in Mathematics – Department of Mathematics, University of Jammu (2017)
• B.Sc. – SSVS Degree College, University to Jammu (2015)

• Assistant Professor, School of Mathematics-
  Shri Mata Vaishno Devi University (December 2024–Present)

• Assistant Professor, Department of Mathematics- 
  Manipal Institute of Technology Bengaluru (June 2023–November 2024)

• Assistant Professor, Department of Applied Sciences-
  Chitkara University, Punjab (December 2022–June 2023)

• Examination Co-Coordinator – Manipal Institute of Technology Bengaluru (August 2023–November 2024)

• Post Ph.D. Experience: – 2 Years

SCI/SCIE Indexed Papers:

1. “Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms
   of its basis and dimension”
   Physica Scripta, 2024.
2. “Mixed metric dimension of certain carbon nanocone networks”
   Polycyclic Aromatic Compounds, 2024.
3. “Vertex-edge partition resolvability for certain carbon nanocones”
   Polycyclic Aromatic Compounds, 2024.
4. “Edge dependent fault-tolerance in certain carbon-based crystal structures”
   Physica Scripta, 2024.
5. “Vertex-based resolvability parameters for identification of certain chemical structures”
   ACS Omega, 2023.
6. “On mixed metric dimension of crystal cubic carbon structure”
   Journal of Mathematical Chemistry, 2023.
7. “On Domatic Number of Some Rotationally Symmetric Graphs”
   Journal of Mathematics, 2023.
8. “Mathematical analysis of one-dimensional lead sulphide crystal structure using molecular graph theory“
   Molecular Physics, 2022.
9. “On metric dimension of plane graphs with m/2 number of 10 sided faces”
   Journal of Combinatorial Optimization, 2022.
10. “On mixed metric dimension of polycyclic aromatic hydrocarbon networks”
    Chemical Papers, 2022.
11. “Computing basis and dimension of chloroquine and hydroxychloroquine by using chemical graph theory“
    Polycyclic Aromatic Compounds, 2022.
12. “Edge metric dimension and edge basis of one-heptagonal carbon nanocone networks“
    IEEE Access, 2022.
13. “On degree based topological indices of carbon nanocones”
    ACS Omega, 2022.
14. “Computation of edge metric dimension of one-pentagonal carbon nanocone”
    Frontier in Physics, 2021.
15. “Metric dimension and edge metric dimension of windmill graphs”
    AIMS Mathematics, 2021.
16. “The vertex-edge resolvability of some wheel-related graphs”
    Journal of Mathematics, 2021.

SCOPUS Indexed Papers:

1. Gayathri Manikonda, Vijay Kumar Bhat, Sunny Kumar Sharma,Unique fault-tolerance resolvability codes for certain generalized convex polytopes with applications, Discrete Mathematics, Algorithms Applications, (Accepted) (2024).

2. Sunny Kumar Sharma and Vijay Kumar Bhat, Some planar graphs with ten sided faces and their metric dimension, TWMS Journal of Applied and Engineering Mathematics, 14(2), pp. 834-845, (2024).
3. Sunny Kumar Sharma and Vijay Kumar Bhat, On symmetrical convex polytopes and their edge resolvability, Journal of Combinatorial Mathematics and Combinatorial Computing, 122, pp. 229–242, (2024).
4. Sunny Kumar Sharma and Vijay Kumar Bhat, Some convex polytopes joining paths and their metric dimension, Journal of Combinatorial Mathematics and Combinatorial Computing, 120, pp. 177–190, (2024).
5. Sunny Kumar Sharma and Vijay Kumar Bhat, Computing some resolvability parameters for two-fold circular ladder, Journal of Interconnection Networks, Art Id: 2450016, (2024).
6. Sunny Kumar Sharma and Vijay Kumar Bhat, On metric dimension of some planar graphs with 2n odd sided faces, Discrete Mathematics, Algorithms Applications, 16(1), Art Id: 2250185, (2024).
7. Vidya S, Sunny Kumar Sharma, Prasanna Poojary, GR Vadiraja Bhatta, Metric basis and metric dimension of some infinite planar graphs, Discrete Mathematics, Algorithms and Applications, August (2024).
8. Sunny Kumar Sharma and Vijay Kumar Bhat, On vertex-edge resolvability for the web graph and prism related graph, Ars Combinatoria, 157, pp. 95–108, (2023).
9. Sunny Kumar Sharma and Vijay Kumar Bhat, Independence in multiresolving sets of graphs, International Journal of Computer Mathematics: Computer Systems Theory, 8(2), pp. 99-107, (2023).
10. Sunny Kumar Sharma, Hassan Raza, and Vijay Kumar Bhat, Fault-tolerant resolvability of some graphs of convex polytopes, Discrete Mathematics and Applications, 33(3), pp. 177-187, (2023).
11. Sunny Kumar Sharma and Vijay Kumar Bhat, Computing vertex resolvability of some regular planar graphs, Discrete Mathematics, Algorithms Applications, 15(03), Art. Id: 2250086, (2023).
12. Sunny Kumar Sharma and Vijay Kumar Bhat, Metric dimension of line graph of the subdivision of the graphs of convex polytopes, TWMS Journal of Applied and Engineering Mathematics, 13(2), pp. 448-461 (2023).
13. Sunny Kumar Sharma and Vijay Kumar Bhat, On the metric dimension of a class of planar graphs, TWMS Journal of Applied and Engineering Mathematics, 3(4), pp. 1298-1310, (2023).
14. Sunny Kumar Sharma, Vijay Kumar Bhat and Sohan Lal, Edge resolving number of pentagonal circular ladder, Annals of the University of Craiova-Mathematics and Computer Science Series, 50(1), pp. 152-170, (2023).
15. Vijay Kumar Bhat and Sunny Kumar Sharma, Zagreb and Wiener indices of the conjugacy class graph of the Quasi-dihedral and generalized quaternion groups, AMIS Applied Mathematics and Information Science, 16(5), pp. 815-822, (2022).
16. Sunny Kumar Sharma and Vijay Kumar Bhat, Fault-tolerant metric dimension of two-fold heptagonal-nonagonal circular ladder, Discrete Mathematics, Algorithms Applications, 14(3), Art. Id: 2150132 (2022).
17. Sunny Kumar Sharma and Vijay Kumar Bhat, Metric dimension of heptagonal circular ladder, Discrete Mathematics, Algorithms Applications, 13(1), Art. Id: 2050095, (2021).
18. Sunny Kumar Sharma and Vijay Kumar Bhat, Rotationally symmetrical plane graphs and their fault-tolerant metric dimension, Annals of the University of Craiova Mathematics and Computer Science Series, 48(2), pp. 307-318, (2021).
19. Sunny Kumar Sharma and Vijay Kumar Bhat, On some plane graphs and their metric dimension, International Journal of Applied and Computational Mathematics, 7, Art. Id: 203, (2021).
20. Sunny Kumar Sharma and Vijay Kumar Bhat, On metric dimension of plane graphs Jn, Kn, and Ln, Journal of Algebra Combinatorics Discrete Structures and Applications, 8(3), pp. 197-212, (2021).
21. Vijay Kumar Bhat, Pradeep Singh, and Sunny Kumar Sharma. On weak (σ,δ) rigid rings over Noetherian rings, Acta Universitatis Sapientiae, Mathematica, 12(1), pp. 5–13, (2020).

• “On fault-tolerant metric dimension of heptagonal circular ladder and its related graphs”
  In Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling (Springer Conference Proceedings), 2023.

• “Location number of edges and vertices of two-fold hepta-pentagonal circular ladder”
  Applied Nonlinear Analysis and Soft Computing (Springer Conference Proceedings), 2022.

• Ph.D. Students Supervised – Shri Mata Vaishno Devi University  (December 2024–Present)

  • Supervising 4 Ph.D. candidates in Graph Theory, Ring Theory, and Interconnection Networks.

• International Conference-“International Conference on Discrete Mathematics and Combinatorics (ICDMC-2023)”
  Organising Secretary/Manipal Institute of Technology Bengaluru

• International Conference-“2nd International Conference on Recent Advances in Fluid Mechanics and Nanoelectronics (ICRAFMN-2024)”
  Organising Secretary/Manipal University Jaipur

Courses teaching during the academic year 2024-2025:

• Engineering Mathematics-II Lesson-Plan-Engineering-Mathematics-II
• Analytical Geometry of 3D and Trigonometry Lesson-Plan-Analytical Geometry of 3D and Trigonometry
• Ordinary Differential Equations Lesson-Plan-Ordinary-Differential-Equations

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