Awards
- Rajiv Gandhi National Fellowship
- Best Camper-Male award in B. Ed.
- “Best paper award” at the University is providing encouragement of Dr B. R. Ambedkar Jayanthi for the articles published in UGC recognized Journals.
- NMIT Management recognizes and appreciate to the contribution of research, publish paper/books/book chapter at 13-oct-2023.
- “Best Young Research Award” under the category of Mathematics during the academic year 2022-2023.
- “Global Srinivasa Ramanujan Award in Mathematical Sciences – 2025” (GCCMIEA 2025-37).
- Karnataka jnana vignana Shikshakarathna award.
Publications
- M Kumara, Manjunath Muddalapuram and Rachanna Kanabur “Investigation of Lower and Upper bounds of graph via some topological indices” Advances in Mathematical Sciences and Applications, Vol. 33, No.1(2024), pp.161-167(ISSN:1343- 4373).
- M. Kumara, V. Chaitra and Wilma Laveena D’ Souza “Inverse double Roman domination in graphs”, Discrete Mathematics, Algorithms and Applications, 10(8), 2022, (ISSN:1793-8317).
- B. Chaluvaraju and M. Kumara, “Packing chromatic number of harary graphs”, International Journal of Engineering Science and Research, 10(8), 2021, (ISSN:2277- 9655).
- B. Chaluvaraju and M. Kumara, “The packing chromatic number of different jump sizes of circulant graphs”, Journal of ultra scientist of physical Sciences, 33(5), (2021) 66–73. (ISSN : 2319-8044).
- B. Chaluvaraju and M. Kumara, “The packing chromatic number of total graph of some standard graphs”, International Journal of Advances in Applied Mathematics and Mechanics, 8(3) (2021), 41-47 (ISSN: 2347-2529).
- V. R. Kulli, B. Chaluvaraju and M. Kumara, “Disjoint total restrained dominating sets in graphs”, Journal of ultra scientist of physical Sciences, 32(1), (2020) 1–5. (ISSN : 2319-8044).
- V. R. Kulli, B. Chaluvaraju and M. Kumara, “Inverse total restrained domination in graphs”, Journal of Computer and Mathematical Sciences, 11(3), (2020) 6–11. (ISSN : 0976-5727).
- V. R. Kulli, B. Chaluvaraju and M. Kumara, “Graphs with equal secure total domination and inverse secure total domination numbers”, Journal of Information and Optimization Sciences, 39(2), (2018). (ISSN : 2169-0103).
- V. R. Kulli, B. Chaluvarajuand M. Kumara, “PBIB-Designs and association schmes from minimum split dominating sets of certain jump sizes of circulant graphs”,
- South East Asian Journal of Mathematics and Mathematical Sciences, 14(1), (2018). (ISSN : 0972-7752).
- V. R. Kulli, B. Chaluvaraju and M. Kumara, “PBIB-Designs and association schmes via minimum nonsplit dominating sets of some circulant graphs, International Journal of Current Advanced Research, (12), (2017)(ISSN : 2319-6475).
Conferences and Presentations
- “Inverse Complimentary Pendent Domination in Graphs” presented in the International Conference Thailand 2025 Global Conference on Comptational Mathematics and Intelligent Engineering Applications(GCCMIEA-2025), organized by the Department of Mathematics, Thammasat University, Rangsit campus, Pathum Thani, Thailand from December27-29, 2025.
- “Investigation of lower and upper bounds of graph via some Topological indices” presented in the International Conference on Graph Theory and Its Applications(ICGTA 2023), organized by the Department of Mathematics, Christ (Deemed to be University) Bengaluru, during 30th Novemver to 2nd December 2023.
- “Secure domination polynomial of a graph” presented in the International Conferencen on Mathematics and its Applications(ICMA-2020), organized by the Department of Mathematics, Bangalore University, Jnanabharathi campus, Bengaluru-560056, during 28-29th, February 2020.
- “PBIB-Designs Associated with minimum split domination related parameters of hypercubes” presented in the Innovations and challenges in science and technology(ICICST-2019), organized by the department of science and humanities, Don Bosco Institute of Technology, Mysore road, Kumbalagodu, Bengaluru-74, during 19-23rd, December 2019.
- “On semi unsecure total domination in graphs” presented in the International Conference on “Emerging Trends in Graph Theory” (ICETGT-2019), organized by the Department of Mathematics, Christ(Deemed to be University), Bengaluru, INDIA, during 27 – 28th , February, 2019.
- “Packing chromatic number of some special classes of graphs” presented in the UGC Sponsored National Conference on Analysis And Its Application (NCAA-2018) under UGC SAP DRS III Programme, organized by the Department of Mathematics, Karnatak University, Dharwad, Karnataka during 9 – 10th, December, 2018.
- “Secure double domination in graphs” presented in National conference on “Recent Advances in Mathematical Sciences and Applications” held at Department of Studies and Research in Mathematics, Tumkur University, Tumkur on 1-2nd, December 2017.
- “Split Nomatic partition of a graph” at two day National seminar on Recent advances in Mathematics and its applications at JSS college of Arts, Commerce and Science, Mysuru on 18 – 19th, Febraury 2016.
- “Split domatic (Nomatic) partition of a graph” at International conference on Differential geometry, Analysis and Fluid Mechanics held at Department of P G Studies and Research in Mathematics, Kuvempu University, Shivamogga on 4-5th, Febraury 2016.
Participation
- National Webinar on “Some New Results in Graph Realizability”, organized by Department of Mathematics, School of Engineering, Presidency University, Bengaluru on October 06th, 2023.
- Participated in the Webinar on “A Survey on Entire Functions Sharing Sets with It’s Derivatives and Variants of Shift Operators” organised by Department of Mathematics, School of Engineering, Presidency University, Bengaluru on 24th May 2023.
- National Webinar on “Recent trends and Applications of Graph theory” organized by Government Degree College, Pithapuram, Andrapradesh on 27th September, 2020.
- Webinar on An Overview of Differential Equations organized by the Department of Sciences and Humanities, Christ University, Kengeri Campus, Bangalore on 7th August 2020.
- International Conference on “Recent Trends in Graph Theory” (ICRTGT-2020) organized by Department of Mathematics, Karnatak University, Dharwad, during 27-29, July 2020.
- International Webinar Series on “Advances in Mathematics” organized by Tata Institute of Social Sciences, Tuljapur, Maharastra, on 22 – 27, June 2020.
- National Webinar on “Topological Indices-worm’s Eye view” organized by PG and Research Department of Mathematics, St. Joseph’s College of Arts and Science (Autonomous) Cuddalore, Tamilnadu on 17th, June, 2020.
- “On graph theory application in online social networks” organized by the Department of Engineering science and Humanities, KLE Dr. M. S. Sheshgiri College of Engineering and Technology, Belagavi on 16th June 2020.
- “One Day National Webinar on Graph Theory” organized by the PG and Research Department of Mathematics, Government Arts College (Grade-1), C.Mutur, Chidambaram on 12th June 2020.
- National Webinar on “Strategies for Scholarly Writing” conducted by the IQAC cell, GFGC and PG Center, Chintamani held on 01 June, 2020.
- Two day International Webinar on “Recent research Topics in Graph Theory” organized by the PG and Research Department of Mathematics, MES Mampad College (Autonomous) during 20-21, May, 2020.
- National Conference on “Discrete Mathematics and its Applications” (NCDMA-2018) organized by the Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamilunadu during 9-10th, February 2018.
- Recent Advances in Mathematical Sciences held at Govt. Science College, Bengaluru on 9-10th, Febraury 2017.
- International conference on Discrete Mathematics 2016 and Graph Theory Day – XII held at Siddaganga Institute of Technology, Tumkuru on 9-11th, June 2016.
- Two day National conference on “Energy of Graphs” held at Maharani’s college for women, Mysuru on 11-12th, 2016.
- One day National Conferencce on “Graph theory and Number theory” held at Department of Mathematics, University of Mysore, Manasagangotri, Mysuru on 24th, August 2015.
Workshops
- Participated in the international Three days workshop on “Documentation using
LATEX” organized by Global Institute of Statistical Solution(GISS) during 10th to
12th Febraury, 2024.
- Participated in the international Two days workshop on “Advancements in Graph
Theory” organized by Division of Mathematics, School of Advanced Sciences at
Vellore Institute of Technology, Chennai. during 1st to 2nd Febraury, 2024.
- Participated in the international Three days workshop on “Reseaarch Methodology”
organized by Global Institute of Statistical Solution(GISS) during 6th to 8th January,
2024.
- Participated in the international five days workshop on “General Paper on Teaching
and Reserch Aptitude” organized by Global Institute of Statistical Solution(GISS)
during 4th to 8th November, 2023.
5.Participated in the international One day Training workshop on “Sympy: A Python
library for symbolic Mathematics” organized by MathTech Thinking Foundation
(MTTF) India, during 22nd December, 2022.
- Participated in the One day international workshop on “Exploing molecules Via
Graph Theory” organized by Department of Mathematics, School of Advanced
Sciences, VIT, Vellor, during 8th September, 2023.
- Participated two day workshop on “Differential geometry and its application” organized
jointly by the Department of Mathematics, Bangalore university, Jnanabharathi
campus, Bengaluru-560056 and Faculty of Mathematical and Physical sciences, M.
- Ramaiah University of of Applied Sciences, Bengaluru-560058 held 28-29, July
2019.
- One week training in “MATH PYTHON” Organized by Department of UG, PG
Studies and Research in Mathematics, Government Science College, Autonomous,
Nrupathunga Road, Bengaluru during 24-29, June 2019.
- Four day ADMA Annual Pre-Conference workshop on “Graph Theory and Python”
Organized by the Department of Mathematics, Christ (Deemed to be University),
Bengaluru, INDIA, during 09-12, May 2019.
10.Six day workshop on “ALGEBRAIC GRAPH THEORY” Organized by Department
of Mathematical and Computational Sciences, NITK Surathkal, funded by NBHM
DAE, Govt. of India and CSIR, Govt of India during January 25-30, 2018.
- UGC Sponsored workshop on “Research initiatives” for research scholars of Bangalore
University held at Human Resource Development Center, Bangalore University,
Jnanabharathi Campus, Bengaluru on 25-27 October 2017.
- ADMA Pre conference Workshop on recent Advances in “Signed graphs and their
applications” held at Siddaganga Institute of Technology, Tumkuru on 6-8th June
2016.
- One day National workshop on “Graph theory and its applications” organized by
the Department of Mathematics, Siddaganga Institute of Technology, Tumkuru on
17th October 2015.
- National workshop on “Graph theory and its applications” organized by the Department
of Mathematics, Amrith School of Engineering, Amrith Vishwa Vidyapeetham,
Bengaluru held on 6-7th August 2015.
Faculty Development Programme
- Participated in a Five Day International Faculty Development Program on “Applications
of Mathematics in Various Fields with Innovative Approaches” organized by
the Department of Mathematics, Bapatla Engineering College, Bapatla held from
21st to 25th November 2023.
- Participate in the five day Training program on “Statistical Data Analysis for
Research Work” organized by Karnataka Science and Technology Academy(KSTA),
held during 18th to 22nd January 2024.
- Organizing Five day Faculty development Program on “Advances Computational
skills for Mathematics ACSM-2024” in Department of Mathematics, Nitte Meenakshi
Institute of Technology(NMIT) Bengaluru held during 23rd to 27th september.
Orientation Programme
- Participated three day “Orientation programme” organized by M.E.S. Teacher’s
College, Rajajinagar, Bengaluru-560010 held 22-24, September 2022.
Member of Academic and Administrative Bodies
Life member, American mathematical society(AMS)
Life member, IAENG International Association of Engineers, Hongkong.
Life member, Academia.
Patent
“A numerical method for solving eigen value problems”, Patent No. 202341007243,
Date of patent:17 Feb 2023.
Books
- “Mathematics for Engineers”, Infinite Research, 2023, ISBN 976-81-963070-1-1.
- “Business Mathematics”, Scientific International Publishing House, 2023, ISBN
978-93-5757-963-6.
- “Statistical methods and their applications-II”, R G International Publication, 2024,
ISBN:978-93-48151-50-6.
- “Discrete Mathematics” Chendur Publishing House, Chennai, 2025, ISBN:978-81-999460-0-2.
Reviewer
- Journal of Applied Mathematics and Informatics
2.Advances and Applications in Mathematical Sciences
3.Journal of mines, metal and fuels
4.Missouri Journal of Mathematical Sciences
5.Afrika Mathematika
6.Indian Journal of Science and Technology
7.Boletim da Sociedade Paranaense de Matem´atica
