Dr MANJUNATH N
MSc, MPhil, PhD
ASSOCIATE PROFESSOR
MSc, MPhil, PhD
ASSOCIATE PROFESSOR
Articles in Journals
| Sl.No. | Title | Name of Journal / Vol. No. / Issue No. / Page Nos | ISSN No. | Date Published |
| 1 | PBIB-designs and association schemes arising from minimum bi-connected dominating sets of some special classes of graphs. | Afrika Matematika / 24 / https://link.springe / 1 - 17 | 1012-9405 | 08-Sep-2017 |
| 2 | Vibration Characterization of Reinforced Aluminium Composite Plates | Journal Of Engineering Science And Technology / 2 / 1 / 71 - 88 | 1823-4690 | 01-Feb-2019 |
| 3 | Bounds for Alpha Adjacency Energy of a Graph | IOP Conf. Series: Materials Science and Engineering / 1070 / 012019 / 1 - 8 | 1757-8981, 1757-899X | 22-Feb-2021 |
| 4 | On the Energy of Graphs Associated with Vector Spaces | Journal of Huazhong University of Science and Technology / 50 / 3 / 1 - 8 | 1671-4512 | 03-Apr-2021 |
| 5 | Friction Stir Welding of Dissimilar Aluminium Alloys for Vehicle Structures | International Journal of Vehicle Structures and Systems / 14 / 1 / 5 - 9 | 0975-3060 | 30-Jan-2022 |
| 6 | Turbulent Flow in Forced Convection Heat Transfer - Numerical Validation | International Journal of Vehicle Structures and Systems / 14 / 1 / 18 - 21 | 0975-3060 | 30-Jan-2022 |
| 7 | Stalling angle predictions of symmetric aero foil by flow analysis | AIP Conference Proceedings 2421 / 2421 / 1 / 500021 - 5000212 | 0094-243X, 1551-7616 | 06-Jan-2022 |
| 8 | Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant. | PLOS ONE / 17 / 5 / 1 - 13 | 1932-6203 | 03-May-2022 |
| 9 | Applications of Bioconvection for Tiny Particles due to two Concentric Cylinders when Role of Lorentz Force is Significant | PLoS ONE / 17 / 5 / 265026 - | 1932-6203 | 03-May-2022 |
| 10 | Experimental Investigation on Density and Volume Fraction of Void, and Mechanical Characteristics of Areca Nut Leaf Sheath Fiber-Reinforced Polymer Composites | International Journal of Polymer Science / 2022 / / 1 - 13 | 1687-9430 | 21-Nov-2022 |
| 11 | QSPR Analysis Of Certain Anti-Hiv Drugs | South East Asian Journal of Mathematics and Mathematical Sciences / 18 / 3 / 283 - 306 | 0972-7752 | 30-Dec-2022 |
| 12 | Bounds related to product variants of graphs | Palestine Journal of Mathematics / 12 / 2 / 1 - 24 | 2219-5688 | 01-May-2023 |
| 13 | Bounds of Sombor Index for F-Sum Operation | Palestine Journal of Mathematics / 12 / 2 / 504 - 516 | 2219-5688 | 01-May-2023 |
| 14 | QSPR Analysis of Polycyclic Aromatic Hydrocarbons | Journal of Mines, Metal and Fuels / 70 / 8A / 49 - 55 | 0022-2755 | 01-May-2023 |
| 15 | Effect of the Process Parameters on Machining of GFRP Composites for Different Conditions of Abrasive Water Suspension Jet Machining | Arabian Journal for Science and Engineering / / 44 / 1 - 11 | 2191-4281 | 28-Jun-2019 |
| 16 | On Second Hyper-Zagreb Index of Corona Products Related to R-Graphs | International Journal of Applied Mathematics / 36 / 3 / 301 - 322 | 1311-1728 | 01-May-2023 |
| 17 | Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs | Filomat / 38 / 1 / 25 - 32 | 0354-5180 | 02-Jul-2023 |
| 18 | Some results on b-chromatic topological indices of some graphs | AIP Conference Proceedings / 2852 / 100002 / 1 - 10 | 0094-243X | 31-Aug-2023 |
| 19 | Characterization Of Bounds For a−Adjacency Energy Of A Graph | The Mathematics Student / 92 / 3-4 / 147 - 154 | 0025-5742 | 01-May-2023 |
| 20 | QSPR Analysis of Polycyclic Aromatic Hydrocarbons | Journal of Mines, Metals and Fuels / 70 / 8(A) / 1 - 7 | 0022-2755 | 15-Sep-2023 |
| 21 | On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs | Communications in Mathematics and Applications / 14 / 5 / 1625 - 1643 | 0975-8607 | 15-Sep-2023 |
| 22 | On Transformed Graphs | South East Asian Journal of Mathematics / 19 / 2 / 179 - 202 | 0972-7752 | 24-Jul-2023 |
| 23 | Computation of b-Chromatic Topological Indices of some graphs and its derived graphs | South East Asian Journal of Mathematics / 19 / 2 / 241 - 260 | 0972-7752 | 10-Aug-2023 |
| 24 | Rainbow Chromatic Topological Indices Of Central Graphs Of Some Graphs | Palestine Journal of Mathematics / 13 / 2 / 271 - 284 | 2219-5688 | 10-Jul-2024 |
| 25 | QSPR analysis on octane isomers using degree-based topological indices | Applied Mathamatics E - Notes / 24 / / 390 - 410 | 1607-2510 | 21-Aug-2024 |
| 26 | On The Indices Of Certain Graph Product | Transactions on combinatorics / 14 / 2 / 117 - 134 | 2251-8657 | 16-Jul-2024 |
| 27 | Bounds on Sombor index of graph operations | Discrete Mathematics, Algorithms and Applications / / / 2550008 - | 1793-8309 | 26-Dec-2024 |
Participation in Seminars/Conferences/Symposium
| Sl.No. | Name of the Conference /Seminar /Symposium | Type of Program | Title of the Article | Role | Venue/Place | Date |
| 1 | National Conference on Geometry, Algebra, Logic an | National Conference on Geometry, Algebra, Logic an | PARTICIPANT) | Tumkur University, Tumkur | 20/01/2013 | |
| 2 | Advances in Geometry, Analysis and Fluid Mechanics | Advances in Geometry, Analysis and Fluid Mechanics | PARTICIPANT) | Kuvempu University | 10/03/2015 | |
| 3 | CONFERENCES | PBIB Designs arising from connected Dominating sets of some special classes of Graphs | PRESENTER) | Tumkur University, Tumkur | 10/03/2015 | |
| 4 | National Conference on Geometry, Topology and Their Applications | CONFERENCES | Generalized Vertex subsets of a graph | PRESENTER) | Karnatak University, DharwadDharwad | 03/08/2016 |
| 5 | National Conference on Recent Advances in Mathematical Sciences and Applications | CONFERENCES | PBIB in Hyper Cubes | PRESENTER) | Tumkur UniversityTumkur | 01/12/2017 |
| 6 | Advances in Applied Mathematics | CONFERENCES | PARTICIPANT) | Tumkur UniversityTumkur University, Tumkur | 08/02/2018 | |
| 7 | Recent Trends and Explorations in Mathematics | CONFERENCES | PARTICIPANT) | The National College, BengaluruBengaluru | 04/10/2018 | |
| 8 | Recent Developments of Mathematics in Industrial Applications | CONFERENCES | Statistical Validations of Surface Roughness of Machined Aluminium Composites | PRESENTER) | Kuvempu University | 11/04/2019 |
| 9 | National Conference on Emerging Trends in Applied Mathematics | CONFERENCES | The Bi-connected Domination Polynomial of A Graph | PRESENTER) | SJB Institute of TechnologyBangalore | 04/05/2019 |
| 10 | National Symposium on Mathematics and Its Applications | SYMPOSIUM | MODERATOR) | Bangalore UniversityBangalore | 27/04/2019 | |
| 11 | National Symposium on Mathematics and Its Applications | SYMPOSIUM | PBIB-Designs in Science and Technology | KEYNOTE_SPEAKER) | Bangalore UniversityBangalore | 27/04/2019 |
| 12 | ERCAM-2019 | CONFERENCES | Optimization of Friction Stir Welding Parameters using Taguchi method for Aerospace Applications | PRESENTER) | Bengaluru | 25/07/2019 |
| 13 | International Conference on Mathematics and its Applications | CONFERENCES | PBIB Designs in Coloring of Standard Graphs | PRESENTER) | Bangalore UniversityBangalore University, Bengaluru. | 28/02/2020 |
| 14 | Recent Innovations in Engineering and Technology (ICRIET 2020) | CONFERENCES | Bounds for Alpha-Adjacency Energy of a Graph. | PRESENTER) | Nandha Engineering College, Erode, Tamil Nadu.Erode, Tamil Nadu | 04/12/2020 |
| 15 | Recent Innovation in Engineering and Technology | CONFERENCES | Bounds for Alpha Adjacency Energy of a Graph | PRESENTER) | Nandha Engineering College, TamilnaduErode, Tamil Nadu. | 04/12/2020 |
| 16 | International Conference on Recent Innovations in Engineering and Technology | CONFERENCES | Bounds for Alpha Adjacency Energy of a Graph | PRESENTER) | Nandha Engineering CollegeErode, Tamilnadu | 04/12/2020 |
| 17 | 2nd International Conference on Advanced Research in Mechanical Engineering | CONFERENCES | Turbulent flow in forced convection heat transfer ? Numerical Validation | PRESENTER) | MVJ College of EngineeringBengaluru | 29/04/2021 |
| 18 | International Conference on Analysis and Applied Mathematics | CONFERENCES | Equitable and Non-Equitable zagreb Indices of Polycyclic Aromatic Hydrocarbons | PRESENTER) | Ayya Nadar Janaki Ammal College and Ramco Institute of TechnologySivakasi | 26/04/2022 |
| 19 | International Conference on Recent Developments in Mechanical Engineering | CONFERENCES | PARTICIPANT) | Siddaganga Institute of TechnologySiddaganga Institute of Technology, Tumakuru. | 24/06/2022 | |
| 20 | ?International Conference on Recent Developments in Mechanical Engineering | CONFERENCES | QSPR Analysis Of Polycyclic Aromatic Hydrocarbons | PRESENTER) | Siddaganga Institute of TechnologySiddaganga Institute of Technology | 24/06/2022 |
| 21 | International Conference on Analysis and Applied Mathematics 22 | CONFERENCES | Equitable and Non-Equitable Zagreb Indices of Polycyclic Aromatic Hydrocarbons | PRESENTER) | Ramco Institute of Technology, RajapalyamRajapalyam | 26/04/2022 |
| 22 | International Conference on Graphs, Networks and Combinatorics | CONFERENCES | Rainbow Chromatic Topological Indices of Line, Middle and Total Graphs of some Graphs | PRESENTER) | Ramanujan College, University of Delhi.Online | 10/01/2023 |
| 23 | International Conference on Evolution in Pure and Applied Mathematics. | CONFERENCES | QSPR analysis of certain drug molecules for Covid-19 | PRESENTER) | Akal University, Talwandi Sabo, BathindaBangalore | 16/11/2022 |
| 24 | International Conference on Graph Theory and its Application | CONFERENCES | ) | CHRIST University, Bangalodre | 30/11/2023 | |
| 25 | International Conference on Advances in Applied Matheamtics | CONFERENCES | MODERATOR) | Tumkur University | 10/01/2024 | |
| 26 | 5th International Conference on Recent Trends in Applied and Computational Mathematics (ICRTACM - 2024) | CONFERENCES | PARTICIPANT) | Reva UniversityBangalore | 07/11/2024 | |
| 27 | 2nd International conference on Emerging Trends in Engineering and Applied Sciences 2024 | CONFERENCES | Graph Theoretical Indices in Silicate and Oxide Networks | PRESENTER) | S J C Institute of TechnologyBangalore | 18/09/2024 |
| 28 | 39th Annual Conference Of The Ramanujan Mathematical Society | CONFERENCES | ) | Bangalore | 27/12/2024 | |
| 29 | National Symposium on Mathematics - NSMA 2025 | SYMPOSIUM | Zagreb Indices with Machine Learning in Graphs | PRESENTER) | CHRIST (Deemed to be University)Bangalore | 22/12/2025 |
| 30 | International Conference on Responsible Artificial Intelligence - 2025. | CONFERENCES | Optimization of Sombor Indices of Molecular Graphs via Machine Learning. | PRESENTER) | Karnatak University, Dharwad, KarnatakaDharwad, Karnataka | 15/12/2025 |
Invited Talks
| Sl.No. | Titel of the Program | Name of the Program | Date | Name of the Institution |
| 1 | Introduction to Graph Theory and its Applications | Invited Talk | 04/12/2014 | Tumkur University |
| 2 | Graph Theory and its Applications | Invited Talk for M.Sc Students | 04/12/2014 | Tumkur University |
| 3 | Applications Of Mathematics For Engineers | Guest Talk | 18/08/2023 | R. R. Institute of Technology |
MPhil/PhD Guided/Adjudicated
| Sl.No. | Title | Name of Student | Institution | Role | Status | Month Year |
| 1 | On Certain Classes of Labellings in Graphs | Lakshmi Narayana. S. Reg No: R14PMT03 | EXAMINER | |||
| 2 | ON CERTAIN CLASSES OF LABELLINGS IN GRAPHS | LAKSHMINARAYANA S. | EXAMINER | |||
| 3 | SOME STUDIES IN THE THEORY OF DOMINATION AND RELATED PARAMETERS IN GRAPH | BALACHANDRA P. | EXAMINER | |||
| 4 | ALGORITHMS FOR DOMINATING SET IN GRAPH THEORY AND ITS COMPARISON | RICH K J | Christ University | SUPERVISOR | Ongoing | February 2021 |
| 5 | A Study On Algebraic Signed Graphs | NAGENDRA NAIK K | EXAMINER | |||
| 6 | A STUDY ON CERTAIN TOPOLOGICAL INDICES AND RELATED POLYNOMIALS IN GRAPHS | ISHITA SARKAR | Christ University | SUPERVISOR | Awarded | July 2024 |
| 7 | A Study on Coloring Parameters and Topological Indices of Graphs | Glory C | Christ University | SUPERVISOR | Notification Issued | June 2024 |
| 8 | . | GLORY C | Christ University | SUPERVISOR | Awarded | June 2024 |
| 9 | NEW PERSPECTIVES OF VERTEX COLORING OF GRAPHS | IDA DAVID | Christ University | SUPERVISOR | Ongoing | September 2024 |
| 10 | . | VEENA | Christ University | SUPERVISOR | Ongoing | March 2025 |
| 11 | . | PAVITHRA N | Christ University | SUPERVISOR | Ongoing | July 2025 |
Patents
| Sl.No. | Title of Invention | Inventor(s) | Filing Date |
| 1 | KUNDANVAR | MANJUNATH N | 19-Aug-2021 |
| 2 | VAPPAV | HARI MURTHY, MANJUNATH N, SHASHIKUMAR D | 17-May-2022 |
| 3 | COMPOPAVE | MANJUNATH N, RAMESHA K | 02-Dec-2022 |
| 4 | INDEX MASTER | MANJUNATH N, MAYAMMA JOSEPH, SOPHIA SHALINI G B | 18-Dec-2024 |
Research Project
| Sl.No. | Name of the Research Project | Investigator(s) | Sponsors | Internal/External |
| 1 | Some numerical invariants associated with 2-dimensional carbon compounds and nanostructures | MANJUNATH N | Internal | |
| 2 | Smart Table | MANJUNATH N | Internal |
Workshop/FDP/Training programme
| Sl.No. | Name of the Workshop/FDP/Training programme | Name of Organiser | Level | Role | Date |
| 1 | Bridging Worlds through Words | Christ University, | Institutional | Participant | 19/09/2025 |
| 2 | Graph Theory and Random Processess in Scientific and Engineering Domains | Jyothi Engineering College, Jyothi Engineering College | International | Presenter | 23/06/2025 |
| 3 | Faculty Development Program - 2025 | CHRIST University, | Institutional | Participant | 19/05/2025 |
| 4 | MATLAB workshop (A Skill Development Program), | CHRIST University, | Institutional | Organiser & Participant | 03/02/2025 |
| 5 | Generative AI for Teachers | Christ University, | National | Participant | 16/01/2025 |
| 6 | START UP SUCCESS: FROM IDEA TO PITCH | Christ University, | Institutional | Organiser & Participant | 06/09/2024 |
| 7 | Designing interactive web experiences, integrating dynamics functionalities, and utilizing industry-standard tools is commendable. | L&T EduTech, | Institutional | Participant | 13/06/2023 |
| 8 | Faculty Development Program on Curriculum Design and Revision | CHRIST University, | Institutional | Participant | 05/12/2022 |
| 9 | Ramanujan's Contribution to Number Theory and Applications | Vivekananda College of Engineering and Technology, | National | Participant | 03/08/2022 |
| 10 | Faculty Development Program - 1 | CHRIST University, | Institutional | Participant | 06/07/2022 |
| 11 | Sources of Research Grant and Art of Writing a Research Paper | R L Jalappa Institute of Technology, R L Jalappa Institute of Technology | National | Participant | 03/06/2021 |
| 12 | Hybrid Teaching | Staff Development College, | Institutional | Participant & Presenter | 02/03/2021 |
| 13 | Probability Models and Applications | Jain University, | National | Participant | 06/10/2020 |
| 14 | International Webinar on Biological Mathematics | CHRIST (Deemed to be University), | International | Organiser & Participant | 17/08/2020 |
| 15 | An Overview of Differential Equations | CHRIST (Deemed to be University), | Organiser & Participant | 07/08/2020 | |
| 16 | Future and Conspiracy of Basic Research | CHRIST (Deemed to be University), | National | Organiser & Participant | 03/08/2020 |
| 17 | Chromatic Polynomials of Graphs from Lie Algebra | CHRIST (Deemed to be University), | National | Organiser & Participant | 27/07/2020 |
| 18 | Mathematical Concepts by Using Free Open Source Softwares | BMS Institute of Technology and Management, | International | Participant | 21/07/2020 |
| 19 | Online Quiz in English Grammar | CHRIST UNIVERSITY, | Participant | 15/06/2020 | |
| 20 | Advanced Instructional Strategies in the Virtual Class room | University of California, Irvine, | International | Participant | 15/04/2020 |
| 21 | Differential Equations for Engineers | The Hong Kong University of Science and Technology, | International | Participant | 05/04/2020 |
| 22 | Research As a Culture in the Department and Consultancy | CHRIST UNIVERSITY, | Participant & Presenter | 21/05/2019 | |
| 23 | Linear Algebra for Engineering Applications and Hands-on Training with MATLAB | Bangalore Institute of Technology, | National | Participant | 01/04/2019 |
| 24 | Linear Algebra for Engineering Applications and Hands-on Training with MATLAB | Bangalore Institute of Technology, | National | Participant | 01/04/2019 |
| 25 | Advances in Welding and Characterization | National Institute of Technology, National Institute of Technology, Calicut | National | Participant | 29/12/2018 |
| 26 | Intellectual Property Rights | CHRIST (Deemed to be University), | Institutional | Participant | 06/08/2018 |
| 27 | Frontier Areas in Subject and Curriculum Updation | Academic Staff College, Christ (Deemed to be University), | Organiser & Participant | 21/05/2018 | |
| 28 | Faculty Development Programme on Applications of Differential Equations in Engineering Problems | PES University, | National | Participant & Presenter | 20/07/2017 |
| 29 | QIP on Teaching, Learning and Evaluation | CU-Academic Staff College, | Organiser & Presenter | 22/05/2017 | |
| 30 | Lecture Workshop on Fourier Analysis and Applications | Jain University, Jain University | National | Participant | 16/02/2017 |
| 31 | National Workshop on Graph Theory and its Applications | Amrita Vishwa Vidyapeetham University, Bengaluru., | National | - | 06/08/2015 |
| 32 | Group Theory and Applications | Jain University, | National | - | 22/12/2014 |
| 33 | Critical thinking for Professional Excellence | CU-Academic Staff College, | Institutional | - | 15/04/2014 |
| 34 | Quality Improvement Programme 2014 | CU-Academic Staff College, | Institutional | - | 20/01/2014 |
| 35 | Mathematics Workshop on Scilab and Maxima | Oxford College of Science, | Institutional | - | 16/11/2012 |
Copyright
| Sl.No. | Applicants | Title | Date Published |
| 1 | HARI MURTHY,MANJUNATH N,SHASHIKUMAR D | Wall mounted bathroom mirror with built-in defogger, clock and automatic alarm systems and a capacitive touch button | - |
| 2 | NIRANJANA S J,HARI MURTHY,MANJUNATH N,SHASHIKUMAR D | Emergency elevator opening system to evacuate passengers | - |