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| Sl. No | Course | Level |
|---|---|---|
| 1 | Recognized as Research Center under VTU | Ph.D |
To instill Mathematical knowledge with sound basics for the development of intellectual competent engineers.
Department of Mathematics

Professor & HOD
Department of Mathematics

Assistant Instructor
| Sl. No | Name of the Research Supervisor | Department / Research Centre | No. of Candidates Registered for Ph.D | No. of Ph. D awarded |
|---|---|---|---|---|
| 1 | Dr. Prashant V Patil | Mathematics | 4 | 2 |
| 2 | Dr. Raju Kotambari | Mathematics | 2 | – |
| 3 | Dr. Manjula V. Kalyanshetti | Mathematics | 1 | – |
| Sl. No | Authors Name | Department | Article Title & Details | National or International Journal | Publication citation | Publication Date |
|---|---|---|---|---|---|---|
| 1 | Dr. Prashant Patil | Mathematics | Exploring Entropy Measures with Topological indices on Eye Disorder using Curvilinear | International | Scopus | 2025 |
| 2 | Dr. Prashant Patil | Mathematics | Neighborhood Stress Sum Index for Graphs | International | Scopus | 2025 |
| 3 | Dr. Prashant Patil | Mathematics | M-polynomials of anti-cancer drugs-II | International | Scopus | 2025 |
| 4 | Dr.Manjula V. Kalyanshetti | Mathematics | Quantitative Structural Property Relationship of Quinolone Antibiotics by VL-Indices | International | Crossref | 2025 |
| 5 | Dr.Manjula V. Kalyanshetti | Mathematics | On Zagreb Coindex of Line Graph | International | Scopus | 2025 |
| 6 | Dr. Prashant Patil | Mathematics | M-polynomials of anti-cancer drugs-I | International | Scopus | 2025 |
| 7 | Prof. Shafiqahmad Yellur | Mathematics | Exploring Entropy Measures with Topological indices on Eye Disorder using Curvilinear | International | Scopus | 2025 |
| 8 | Prof. Shafiqahmad Yellur | Mathematics | M-polynomials of anti-cancer drugs-I | International | Scopus | 2025 |
| 9 | Dr. Prashant Patil | Mathematics | Quantitative Structure Property Relationship of Octane Isomers with RS1-Index | International | Scopus | 2025 |
| 10 | Dr.Manjula V. Kalyanshetti | Mathematics | On the Equality for Zagreb Indices | International | Scopus | 2025 |
| 11 | Prof. Umesh S Mujumdar | Mathematics | Complement Non Zero Component Graph of Finite Dimensional Vector Space | International | Scopus | 2025 |
| 12 | Prof. Umesh S Mujumdar | Mathematics | A novel edge-weighted polynomials: eigenvalues and energy of some graphs | International | Scopus | 2025 |
| 13 | Prof. Ravishankar L Hutagi | Mathematics | Complement Non Zero Component Graph of Finite Dimensional Vector Space | International | Scopus | 2025 |
| 14 | Prof. Ravishankar L Hutagi | Mathematics | A novel edge-weighted polynomials: eigenvalues and energy of some graphs | International | Scopus | 2025 |
| 15 | Prof. Umesh S Mujumdar | Mathematics | Python-Based Computation of Nso(G) Energy : Bounds and QSPR Analysis on Covid-19 Drugs. | International | Scopus | 2025 |
| 16 | Prof. Ravishankar L Hutagi | Mathematics | Python-Based Computation of Nso(G) Energy : Bounds and QSPR Analysis on Covid-19 Drugs. | International | Scopus | 2025 |
| 17 | Dr. Prashant Patil | Mathematics | Reduced Sombor Index of Certain Graphs | Conference Proceedings | Scopus | 2024 |
| 18 | Dr. Prashant Patil | Mathematics | Forgotten Index of k-Splitting Graphs | International | Crossref | 2024 |
| 19 | Prof. Shafiqahmad Yellur | Mathematics | Forgotten Index of k-Splitting Graphs | International | Crossref | 2024 |
| 20 | Dr. Prashant Patil | Mathematics | Computing Sombor Index of Certain Nanostructures and its Applications | National | Crossref | 2024 |
| 21 | Prof. Shafiqahmad Yellur | Mathematics | Computing Sombor Index of Certain Nanostructures and its Applications | National | Crossref | 2024 |
| 22 | Prof. Umesh S Mujumdar | Mathematics | A novel edge-weighted matrix of a graph and its spectral properties with potential applications | International | Scopus | 2024 |
| 23 | Prof. Ravishankar L Hutagi | Mathematics | A novel edge-weighted matrix of a graph and its spectral properties with potential applications | International | Scopus | 2024 |
| 24 | Dr. Prashant Patil | Mathematics | Computing Topological Indices of Certain Windmill Graphs | National | Crossref | 2022 |
| 25 | Dr.Manjula V. Kalyanshetti | Mathematics | The Average Degree-Distance Index Of Graph Operations | International | Crossref | 2022 |
| 26 | Dr.Manjula V. Kalyanshetti | Mathematics | Degree Distance Based Topological Indices Of Some Graphtransforms “ | International | Scopus | 2022 |
| 27 | Dr. Raju Kotambari | Mathematics | Minimum Covering Energy Of Some Derived And Coalescence Of Complete Graphs | International | Scopus | 2021 |
| 28 | Dr.Manjula V. Kalyanshetti | Mathematics | Distance-Based Topological Acharya Polynomial And Indices Of Hamiltonian Graphs | International | Crossref | 2021 |
| 29 | Dr. Raju Kotambari | Mathematics | Minimum Covering Maximum Degree Energy Of A Graph, | National | Scopus | 2020 |
| 30 | Dr.Manjula V. Kalyanshetti | Mathematics | On Neighbourhood Degree Distance And Neighbourhood Gutman Index Of Molecular Graphs | International | Crossref | 2020 |
| 31 | Dr.Manjula V. Kalyanshetti | Mathematics | New Eccentricity Based Topological Indices Of Total Transformation Graphs | International | Crossref | 2020 |
| 32 | Dr. Prashant Patil | Mathematics | Second Zagreb Indices Of Transformation Graphs And Total Transformation Graphs | International | Crossref | 2020 |
| 33 | Dr.Manjula V. Kalyanshetti | Mathematics | On Square Degree Distance Of Mycielskian Graphs | International | Crossref | 2019 |
| 34 | Dr.Manjula V. Kalyanshetti | Mathematics | QSPR Analysis Of Certain Distance Based Topological Indices | International | Scopus | 2019 |
| 35 | Dr. Prashant Patil | Mathematics | Computing Certain Topological Indices For Line Graphs Of Tadpole Graphs, Wheel Graph And Ladder Graph | International | Crossref | 2019 |
| 36 | Dr. Prashant Patil | Mathematics | A Note On The Minimum Dominating Energy Of A Graph | International | Scopus | 2018 |
| 37 | Dr. Prashant Patil | Mathematics | First Zagreb Coindex Of Hamiltonian Graphs | International | Scopus | 2017 |
| 38 | Dr. Raju Kotambari | Mathematics | Degree Sum Energy Of Some Graphs | International | Crossref | 2016 |
| 39 | Dr. Raju Kotambari | Mathematics | On The Adjacency ,Laplacian, And Signlesslaplacian Spectrum Of Coalescence Of Complete Graphs | International | Scopus | 2016 |
| 40 | Dr. Prashant Patil | Mathematics | Bounds For The Minimum Overing Energy Of A Graph | International | Scopus | 2016 |
| 41 | Dr. Prashant Patil | Mathematics | On The Transformation Graph G+−− | International | Scopus | 2016 |
| 42 | Dr. Raju Kotambari | Mathematics | Minimum Covering Energy Of Somethorny Graphs | International | Crossref | 2014 |
| 43 | Dr. Prashant Patil | Mathematics | Edge Partition Of The Transformation Graph Gxyz When Xyz=+ – -“ | International | Scopus | 2012 |
| 44 | Dr. Prashant Patil | Mathematics | Cototal Domination In Semitotal-Point Graph | International | Scopus | 2012 |
| 45 | Dr. Prashant Patil | Mathematics | Domination In Degree Splitting Graphs | International | Scopus | 2012 |
| 46 | Dr. Prashant Patil | Mathematics | Edge Decomposition Of The Transformation Graph Gxyz When Xyz=++- | International | Scopus | 2010 |
| 47 | Dr. Prashant Patil | Mathematics | A Criterion For (Non-) Planarity Of The Transformation Graph Gxyz When Xyz=-++” | International | Scopus | 2010 |
to be updated soon
| Sl. No. | Name of the Teacher | Name of the Conference etc. | Place | Date | Invited/Deputed | No. of papers presented | Remarks |
|---|---|---|---|---|---|---|---|
| 1 | Umesh S Mujumdar | One day workshop “Contemporary Trends in Research and Publications” | Gogte commerce college organised by RCU Belagavi | June 28,2024 | Attended | ||
| 2 | Umesh S Mujumdar | Three days conference “International Conference on Mathemaytical Analysis and Its Application” | Karnataka University, Dharwad | August 02-04,2024 | Attended | 1 | |
| 3 | Dr.Manjula Kalyanshetti | Three Day Faculty Development Programme On “Mathematics LAB USING PYTHON”. | Gogte Institute of Technology Belagavi, | 5th -7th july2023 | Attended | ||
| 4 | Dr.Manjula Kalyanshetti | Five Day International Faculty Development Program on “Applications of Mathematics in Various Fields With Innovative Approaches”. through virtual mode | Baptala Engineering College,Bapatala | 21st -25th Nov 2023 | Attended | ||
| 5 | Dr.Manjula Kalyanshetti | Faculty Development Program Focused on Improving the Python Skills of the Faculty | Konigtronics(OPC)Pvt.Ltd | 16th-20th nov 2023 | Attended | ||
| 6 | Shafiqahmed Yellur | One week Faculty Development Programme on “Research Methodology and Effective Teaching Skills” | Jain College of Engineering and Research, Udyambag, Belagavi in association with Visvesvarya Technological University Belagavi. | 15th to 20th May 2023. | Deputed | ||
| 7 | Shafiqahmed Yellur | 8 week Faculty Development Programme on Graph Theory | NPTEL | March 24th Feb to 27th 2022 | Deputed | ||
| 8 | Shafiqahmed Yellur | One Week AICTE – VTU Joint Teachers Training Programme on “An Overview of Teaching Techniques in Scientific Foundations of Health” | VTU Human Resource Development Centre (VTU – HRDC), Centre for PG Studies, VIAT, Muddenahalli, Chikkaballapur (Dist.) – 562101. | December 20 – 24, 2021 | Deputed | ||
| 9 | Shafiqahmed Yellur | 5-day online FDP on the theme “Inculcating Universal Human Values inTechnical Education” | All India Council for Technical Education(AICTE) | November 29th to 3rd December, 2021. | Deputed | ||
| 10 | Shafiqahmed Yellur | Faculty Development Program Series 1 on”Mathematics in Artificial Intelligence, Machine Learning and Deep Learning for Faculty & Practitioners” | Department of Computer Science and Engineering | September 1 to 5 ,2021 | Deputed | ||
| 11 | Dr.Manjula Kalyanshetti | Webinar on “SECOND INTERNATIONAL CONFERENCE ON ADVANCES IN PHYSICAL SCIENCES AND MATERIALS”. | Coimbatore,Tamil Nadu | 12-13,August 2021. | Attended | ||
| 12 | Dr.Manjula Kalyanshetti | One day National webinar on “RECENT ADVANCES IN MATHEMATICS”. | Sharanbasveshwar College of Science Kalburagi | 20th & 21th May 2021 | Attended | ||
| 13 | Shafiqahmed Yellur | Four-Day online National Conference on Pure and Applied Mathematics | Department of Mathematics, KLS Gogte Institute of Technology, Belagavi | August 11-14, 2020. | Deputed | ||
| 14 | Shafiqahmed Yellur | 10 days Maths India Week Day FDP | the Dept. Of Mathematics Rathinam College of Arts and Science Coimbatore-21. | December14 to 22 ,2020 | Deputed | ||
| 15 | Shafiqahmed Yellur | Mathematical perspectives on computational science and engineering | Department of Mathematics, Ramaiah Institute of Technology, Bangalore-54 | July 6th to 10th 2020 | Deputed | ||
| 16 | Shafiqahmed Yellur | Online Teaching-Learning Processes using ICT Tools for Education 4.0 | Department of Information Technology,SVPCET Nagpur, in association with Computer Society of India | June 8th to 13th , 2020 | Deputed | ||
| 17 | Dr.Manjula Kalyanshetti | Two Day International Webinar on “Recent Research Topics in Graph Theory”. | MES Mampad College ,Kerala | 20th & 21st,May 2020 | Attended | ||
| 18 | Dr.Manjula Kalyanshetti | Webinar on “DIGITIZATION -THE WAY FORWARD”. | Jain College of Engineering,Belagavi | 26th May | Attended | ||
| 19 | Dr.Manjula Kalyanshetti | Webinar on “GRAPHS IN LIFE”. | Don Bosco College of Arts and Science ,Kerala | 29th May 2020 | Attended | ||
| 20 | Dr.Manjula Kalyanshetti | Webinar on “MATHEMATICAL PERSPECTIVES ON COMPUTATIONAL SCIENCE AND ENGINEERING”. | Ramaiah Institute of Technology, Bangalore | 6th to 10th July 2020. | Attended | ||
| 21 | Dr.Manjula Kalyanshetti | Two day National Webinar on “APPLICATIONS OF MATHEMATICS IN ENGINEERING AND PHYSICS”. | S.G SIDDHARTHA Degree College of Arts and Science, Vuyyuru | 10th to 11th July 2020. | Attended | ||
| 22 | Dr.Manjula Kalyanshetti | National Webinar on “RECREATIONAL PROBLEMS IN GRAPH THEORY AND THEIR APPLICATIONS IN REAL WORLD”. | K.L.E. Society’s S. K.Arts College and H. S. Kotambri Science Institute, Hubballi | 13th July 2020 | Attended | ||
| 23 | Dr.Manjula Kalyanshetti | Webinar on “INTERNATIONAL CONFERENCE ON RECENT TRENDS IN GRAPH THEORY”. | Karnataka University, Dharwad | July 27-29, 2020 | Attended | ||
| 24 | Dr.Manjula Kalyanshetti | Webinar on “FASCINATING WORLD OF MATHEMATICS AND ITS APPLICATIONS TO REAL WORLD PROBLEMS”. | IIITDM Kurnool | 17th July 2020 | Attended | ||
| 25 | Dr.Manjula Kalyanshetti | Webinar on “TWO DAYS INTERNATIONAL WEBINAR ON COMPLEX ANALYSIS AND ITS APPLICATIONS”. | K. L. E. Society’s G. I. Bagewadi College, Nipani | 22nd and 23rd July 2020 | Attended | ||
| 26 | Dr.Manjula Kalyanshetti | Webinar on “WASTE TO ENERGY GENERATION: MATERIALS AND TECHNIQUES”. | Pratap University, Jaipur | 29-August-2020 | Attended | ||
| 27 | Shafiqahmed Yellur | “Recent research Topics in Graph Theory” | PG & Research Department of Mathematics, MES Mampad College | May 20-21, 2020 | Attended | ||
| 28 | Dr.Manjula Kalyanshetti | International conference on” MATHEMATICS MODELLING, APPLIED ANALYSIS AND COMPUTATION”. | JECRC University, Jaipur(Rajasthan) | 8th to 10thAugust,2019. | Presented | 1 | |
| 29 | Dr.Manjula Kalyanshetti | One Day National Conference on “RECENT TRENDS ON THE APPLICATIONS OF SCIENCE IN ENGINEERING”. | BIET, Davangere. | 28th July .2018 | Attended | ||
| 30 | Dr.Manjula Kalyanshetti | International Conference on “RECENT TRENDS IN MATHEMATICS”. | K.L.E. Society’s RLS Institute,Belagavi | 27th to 29th Dec 2018. | Presented | 1 | |
| 31 | Dr. Prashant Patil | One Week TEOIP-1.3 Sponsored Faculty Enrichment Program on “Engineering Mathematics-II | Visvesvaraya Technological University, Belagavi. | 016th – 20th Jan 2018 | Attended | ||
| 32 | Dr.Raju Kotambari | International Conference on Discrete Mathematics and Graph theory | SIT Tumkuru | June 9-11, 2016. | Deputed | 1 | |
| 33 | Dr.Raju Kotambari | International Conference on Discrete Mathematicsand Computational Mathematics | The Gandhigram Rural Institute-Deemed University Gandhigram, Dindigul District Tamil Naadu | February16-18, 2017. | Deputed | 1 | |
| 34 | Dr.Manjula Kalyanshetti | Two Day Workshop on” RESEARCH TRENDS IN IMAGE PROCESSING AND MACHINE LEARNING BASED ON MATHEMATICAL MODELLING”. | SDMCET,Dharwad | 17th & 18th of Feb 2017 | Attended | ||
| 35 | Dr.Manjula Kalyanshetti | .One week Workshop on “RESEARCH METHODOLOGY” | Angadi Institute of Technology and Management ,Belagavi | 9th to 13th, Jan 2017. | Attended | ||
| 36 | Dr.Manjula Kalyanshetti | Two-Day Workshop on “GRAPH THEORY AND ITS APPLICATIONS FOR SCIENTISTS,ENGINEERS AND MATHEMATICIANS”. | Gogte Institute of Technology Belagavi, | June 21st &; 22 nd 2017. | Attended | ||
| 37 | Dr. Prashant Patil | One day work shop on Engg. Mathematics IV | Jain College of Engg, Belagavi | 4th Feb 2017 | Attended | ||
| 38 | Dr. Prashant Patil | Sampling Theory & Stochastic Process | Global Academy of Tech., Bengaluru | 24th&25th March 2017 | Attended | ||
| 39 | Dr. Prashant Patil | Graph theory and its applications for scientists, Engineers and Mathematicians. | KLS’ Gogte Institute of Tech., Belagavi | 21st & 22nd June 2017 | Attended | ||
| 40 | Dr.Raju Kotambari | Nationa Conference on Energy of Graphs | Maharani’s Science College For Women Mysuru | March, 11-12, 2016. | Deputed | 1 | |
| 41 | Dr.Manjula Kalyanshetti | International Conference on” DISCRETE MATHEMATICS (ICDM-2016) AND GRAPH THEORY DAY-XII”. | SIT,Tumkur | 6th to 11th,June 2016. | Attended | ||
| 42 | Dr.Manjula Kalyanshetti | National Conference on ” EXPLORING RESEARCH AVENUES AND IPR”. | SDMCET,Dharwad | 13th ,Aug 2016. | Attended | ||
| 43 | Dr.Raju Kotambari | National conference on Recent trends in Graph theory and it’sApplications | Mangalore University, Manguluru. | February 5-6, 2015. | Deputed | 1 | |
| 44 | Dr.Manjula Kalyanshetti | National Conference on “MATHEMATICS AND ITS APPLICATIONS”. | AIT,Chikmagalur | 22nd &23rd, Dec 2015. | Attended | ||
| 45 | Dr.Raju Kotambari | National conference on Current Trends in Mathematics and Applications | Gogte Institute of Technology Belagavi, | January, 28-29, 2014. | Deputed | 1 | |
| 46 | Dr.Manjula Kalyanshetti | National Seminar on “RECENT TRENDS IN MATHEMATICS AND ITS APPLICATION”. | Gogte Institute of Technology Belagavi, | 28th & 29th, Jan 2014. | Attended | ||
| 47 | Dr.Manjula Kalyanshetti | Workshop for NET/SET aspirants. | G.S.Sc college Belagavi | 20th & 21st , Nov 2014. | Attended | ||
| 48 | Dr. Prashant Patil | one day workshop on Basic science syllabus for B.E. | UBDT collage of Engg, Davangere | 20th Aug 2014 | Attended | ||
| 49 | Dr. Prashant Patil | National Seminar on Analysis and Application (NSAA-2013) | The Department of Mathematics, Karnatak University, Dharwad | 22nd & 23rd March 2013. | presented | ||
| 50 | Dr. Prashant Patil | 3rd international conference Discrete Mathematics | Karnatak University, Dharwad. | 10th -14th June 2013 | Attended | ||
| 51 | Dr. Prashant Patil | Advances in Graph Theory | Gogte Institute of Technology, Belgaum. | 21st November, 2012 | Attended | ||
| 52 | Dr. Prashant Patil | Analysis and Application (NSAA-2013) | The Department of Mathematics, Karnatak University, Dharwad | 15th to 17th March 2011. | Attended | ||
| 53 | Dr. Prashant Patil | National symposium RAAM-10 | Gulbarga University, Gulbarga. | 8th -9th Feb 2010 | presented | ||
| 54 | Dr. Prashant Patil | National conference Emerging Trends in Fluid Mechanics and Graph Theory | Christ University, Banglore. | 25th &26th Feb 2010 | presented | ||
| 55 | Dr. Prashant Patil | Sixth annual instructional conference of ADMA & Graph theory Day VI | Dept. of Mathematics, College of Engineering, Pune. | 8th -10th June 2010 | presented | ||
| 56 | Dr. Prashant Patil | Mathematical Modelling | Karnatak College, Dharwad | 10th April 2010. | Attended | ||
| 57 | Dr. Prashant Patil | Training of trainers on Entrepreneurial Motivation | Deshpande Foundation, Hubli and organized by SDMCET Dharwad | 8th October 2010 | Attended | ||
| 58 | Dr. Prashant Patil | Platinum jubilee Seventy-fifth annual conference of IMS | Kalasalingam University, Krishnankoil, T.N. | 27th -30th Dec 2009 | presented | ||
| 59 | Dr. Prashant Patil | Innovative product Development & Design Methods | SDM college of Engg. And Tech. Dharwad. | 2nd to 6th Feb, 2009 | Attended | ||
| 60 | Dr. Prashant Patil | Fifth annual instructional conference of ADMA & Graph theory Day V | Periyar University, Salem, T. N. | 8th -10th June 2009 | Attended | ||
| 61 | Dr. Prashant Patil | International colloquium on Nanotechnology gateway to a Promising Future | organized by SDM college of Engg. And Tech. Dharwad, | 8th and 9th July 2008 | Attended | ||
| 62 | Dr. Prashant Patil | Interpersonal skills, Assertiveness, Positive Attitude, Personal & Professional Ethics | collaboration with ISQT process and consulting Services, Bangalore. | 28th and 29th March, 2008 . | Attended |