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FACULTY

Dr. U. VIJAYA CHANDRA KUMAR Associate Professor

School of Applied Sciences

Dr. U. VIJAYA CHANDRA KUMAR

Specialization

Chemical Graph Theory, Machine learning, and Domination Theory

Qualification

Ph.D., 2019, Visvesvaraya Technological University, Belgavi, Karnataka

Teaching Experience

Academic- 20 years

Awards & Recognition

“BEST TEACHER” for the year 2018 for the overall excellence in Teaching and Institutional Activities.

Orcid ID

http://www.orcid.org/0000-0002-1422-8714

Vidwan ID/Profile URL

https://vidwan.inflibnet.ac.in/profile/229979

Scopus ID/Google Scholar ID

http://www.scopus.com/authid/detail.url?authorId=57218934186

Publications In Refereed Journals

Key Publications (Only Q1 & Q2 rated)

  • U. Vijaya Chandra Kumar, R. Murali, and A. Girisha, “Edge domination in some brick product graphs,” TWMS Journal of Applied and Engineering Mathematics, vol. 10, pp. 173–180, Jan. 2020.
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Some K-Banhatti polynomials of first dominating David derived networks,” Baghdad Science Journal, vol. 20, no. 2, pp. 315–325, 2023. [Scopus, Q2]. DOI: 10.21123/bsj.2022.6996.
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Topological indices polynomials of domination David derived networks,” Baghdad Science Journal, vol. 20, no. 3, pp. 867–878, 2023. [Scopus, Q2]. DOI: 10.21123/bsj.2022.6909.
  • H. M. Nagesh, U. Vijaya Chandra Kumar, and M. K. Siddiqui, “Topological indices and entropy measures in cove-edged graphene nanoribbons using curve-fitting models,” Applied Physics A: Materials Science and Processing, vol. 131, article 56, 2024.
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Exponential domination of some chemical structures in reduced (A, B)-KA indices,” Baghdad Science Journal, vol. 22, no. 9, 2025.
  • K. Kallesh, U. Vijaya Chandra Kumar, H. M. Nagesh, and N. Narahari, “Topological indices, entropy measures, and graph energy prediction of porphyrazine and tetrakis porphyrazine,” Results in Engineering (RINENG), vol. 28, no. 4, 2025.

Other Publications

  • U. Vijaya Chandra Kumar and R. Murali, “Edge domination in shadow distance graphs,” International Journal of Mathematics and its Applications, vol. 4, no. 2D, pp. 125–130, 2016. ISSN: 2347-1557 (Print & Online).
  • U. Vijaya Chandra Kumar and R. Murali, “Edge domination in the shadow distance graph of some star-related graphs,” Annals of Pure and Applied Mathematics, vol. 13, no. 1, pp. 33–40, 2017. ISSN: 2279-087X (Print), 2279-0888 (Online).
  • U. Vijaya Chandra Kumar and R. Murali, “s-Path domination in brick product graphs,” International Journal of Research in Engineering, IT and Social Sciences, vol. 8, no. 5, pp. 105–113, May 2018. ISSN: 2250-0588.
  • U. Vijaya Chandra Kumar and R. Murali, “s-Path domination in shadow distance graphs,” Journal of Harmonized Research in Applied Sciences, vol. 6, no. 3, pp. 194–199, 2018. ISSN: 2321-7456 (Online).
  • U. Vijaya Chandra Kumar and R. Murali, “Domination in some image graphs,” International Journal of Mathematics and its Applications, vol. 6, no. 2(B), pp. 425–430, 2018.
  • U. Vijaya Chandra Kumar and R. Murali, “Complementary edge domination in shadow distance graphs,” Bulletin of the International Mathematical Virtual Institute (IMVI), vol. 9, pp. 47–56, 2019. ISSN: 2303-4874 (Print), 2303-4955 (Online).
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and R. Murali, “Domination and s-Path domination in brick product graphs of some odd cycle graphs,” Waffen-Und Kostumkunde Journal, vol. XI, no. II, pp. 35–43, Feb. 2020. [Web of Science, Q3].
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and R. Murali, “Domination in some brick product graphs,” Malaya Journal of Matematik, vol. 8, no. 1, pp. 254–257, Mar. 2020.
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and R. Murali, “Edge domination in some image graphs,” Gedrag & Organisatie Review, vol. 33, no. 2, pp. 611–620, Apr. 2020. [Web of Science].
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and K. Srinivasa Rao, “Rainbow connection number of flower snark graph,” International Journal of Applied Mathematics, vol. 33, 2020. [Scopus, Q3].
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and R. Murali, “On hinge domination in graphs,” Journal of Mathematical and Computational Science, vol. 11, no. 5, 2021. [Scopus, Q3].
  • U. Vijaya Chandra Kumar, Anjaneyulu Mekala, and R. Murali, “The (a, b)-status index exponential of graph,” Design Engineering, vol. 6, pp. 8001–8013, 2021. [Scopus, Q4].
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “The (a, b)-status index of exponential domination graphs,” Journal of Algebraic Statistics, vol. 13, no. 1, pp. 829–841, May 2022. [Web of Science].
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Bi-domination in brick product graphs,” Journal of Algebraic Statistics, vol. 13, no. 2, pp. 1954–1960, Jun. 2022. [Web of Science].
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Bi-domination in shadow distance graphs,” Stochastic Modeling & Applications, vol. 26, no. 3, pp. 119–127, 2022. [UGC].
  • A. Girisha, P. Rajendra, U. Vijaya Chandra Kumar, and S. Pushpa, “On metric dimensions of flower graphs,” Journal of Physics: Conference Series, vol. 2571, 012019, 2023. [Scopus]. DOI: 10.1088/1742-6596/2571/1/012019.
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Bi-domination in brick product graphs,” AIP Conference Proceedings, vol. 2649, 030041, 2023. [Scopus]. DOI: 10.1063/5.0114554.
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “Independent domination degree of standard graphs of Adriatic (a,b)-KA indices,” Communications in Mathematics and Applications, vol. 14, no. 4, pp. 1421–1428, 2023. [Web of Science].
  • K. Kallesh, U. Vijaya Chandra Kumar, and R. Murali, “Roman domination in the shadow distance graphs,” Communications in Mathematics and Applications, vol. 14, no. 4, pp. 1463–1468, 2023. [Web of Science].
  • Anjaneyulu Mekala, U. Vijaya Chandra Kumar, and R. Murali, “On independent domination topological indices of graphs,” International Journal of Mathematics in Operational Research, vol. 29, no. 3, 2024. [Scopus, Q3].
  • U. Vijaya Chandra Kumar, H. M. Nagesh, and M. B. Madhusudana Reddy, “Degree-based topological characterization and graph energy prediction of silicon carbide network Si₂C₃-I[k,l] via double graph operator,” Scientific Annals of Computer Science, vol. XXXV, no. 1, pp. 53–85, 2025. [Scopus, Web of Science, Q4]. DOI: 10.47743/SACS.2025.1.53.
  • K. Kallesh, U. Vijaya Chandra Kumar, H. M. Nagesh, and N. Narahari, “Prediction of physicochemical properties of flavonoids via modified reverse degree topological indices,” Biointerface Research in Applied Chemistry, vol. 15, no. 5, 2025. [Scopus, Q3].
  • S. C. K. Shrikanth, S. H. T. Sharathkumar, N. Narahari, H. M. Nagesh, and U. Vijaya Chandra Kumar, “Vertex energy of small integral graphs,” Boletim da Sociedade Paranaense de Matematica (BSPM), vol. 43, 2025. [Scopus, Q3].
  • P. N. Simha, S. B. P. Shylaja, N. Narahari, H. M. Nagesh, and U. Vijaya Chandra Kumar, “On the distribution of vertex energy of connected non-regular non-bipartite integral graphs with maximum vertex degree four,” Scientific Annals of Computer Science, vol. XXXV, no. 2, 2025. [Scopus, Web of Science, Q4].

Research Project

Dr. U. Vijaya Chandra Kumar has been actively engaged in advanced research for over two decades, with significant contributions in the fields of Chemical Graph Theory, Domination Theory, and Machine Learning applications in Graph Networks and Materials Science. His research primarily focuses on developing novel graph-theoretical models and topological descriptors to analyze and predict structural, chemical, and physical properties of complex molecular systems and nanomaterials.

His work bridges mathematical graph theory with computational intelligence, particularly emphasizing domination-related parameters, degree-based and distance-based topological indices, and their applications in chemical graph modeling, drug-likeness prediction, and nanomaterial characterization. Recently, he has extended his research toward AI-driven predictive modeling for materials and entropy-based topological descriptors in chemical and biological networks.

Dr. Kumar has authored more than 30 research publications in reputed Scopus and Web of Science indexed journals, including high-impact Q1 and Q2 rated journals such as Results in Engineering (Elsevier), Applied Physics A (Springer), and Baghdad Science Journal. His research papers have contributed to emerging areas like graph energy prediction, chemical informatics, and AI-assisted molecular analysis.

In addition, Dr. Kumar has published five Indian patents, covering innovations in AI-driven health monitoring systems, intelligent agricultural drones, and nutrient deficiency detection using graph-based image analysis, reflecting his applied interdisciplinary approach.

He has successfully guided one Ph.D. scholar, Dr. Anjaneyulu Mekala, who was awarded a doctoral degree in 2024 for his thesis titled “Some Contributions to Theory of Domination in Graphs.”

Through his consistent academic and research pursuits, Dr. Kumar continues to integrate mathematical theory, artificial intelligence, and chemical graph modeling, contributing significantly to the development of data-driven approaches in theoretical chemistry, material sciences, and applied graph theory.

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