Sl.No.	Title	Name of Periodical	Periodicity	Date
1	On Pik-connectivity of some product graphs	Notes on Number Theory and Discrete Mathematics	Quarterly	15/07/2015
2	Generalized Vertex Induced Connected Subsets of a Graph	International Journal of Mathematical Combinatorics	Quarterly	10/06/2015

Sl.No.	Title	Name of Journal / Vol. No. / Issue No. / Page Nos	ISSN No.	Date Published
1	Bounds on Sombor index of graph operations	Discrete Mathematics, Algorithms and Applications / / / 2550008 -	1793-8309	26-Dec-2024
2	QSPR analysis on octane isomers using degree-based topological indices	Applied Mathamatics E - Notes / 24 / / 390 - 410	1607-2510	21-Aug-2024
3	On The Indices Of Certain Graph Product	Transactions on combinatorics / 14 / 2 / 117 - 134	2251-8657	16-Jul-2024
4	Rainbow Chromatic Topological Indices Of Central Graphs Of Some Graphs	Palestine Journal of Mathematics / 13 / 2 / 271 - 284	2219-5688	10-Jul-2024
5	QSPR Analysis of Polycyclic Aromatic Hydrocarbons	Journal of Mines, Metals and Fuels / 70 / 8(A) / 1 - 7	0022-2755	15-Sep-2023
6	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
7	Some results on b-chromatic topological indices of some graphs	AIP Conference Proceedings / 2852 / 100002 / 1 - 10	0094-243X	31-Aug-2023
8	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
9	On Transformed Graphs	South East Asian Journal of Mathematics / 19 / 2 / 179 - 202	0972-7752	24-Jul-2023
10	Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs	Filomat / 38 / 1 / 25 - 32	0354-5180	02-Jul-2023
11	Bounds related to product variants of graphs	Palestine Journal of Mathematics / 12 / 2 / 1 - 24	2219-5688	01-May-2023
12	Bounds of Sombor Index for F-Sum Operation	Palestine Journal of Mathematics / 12 / 2 / 504 - 516	2219-5688	01-May-2023
13	QSPR Analysis of Polycyclic Aromatic Hydrocarbons	Journal of Mines, Metal and Fuels / 70 / 8A / 49 - 55	0022-2755	01-May-2023
14	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
15	Characterization Of Bounds For a−Adjacency Energy Of A Graph	The Mathematics Student / 92 / 3-4 / 147 - 154	0025-5742	01-May-2023
16	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
17	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
18	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
19	Applications of Bioconvection for Tiny Particles due to two Concentric Cylinders when Role of Lorentz Force is Significant	PLoS ONE / 17 / 5 / 0265026 -	1932-6203	03-May-2022
20	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
21	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
22	Stalling angle predictions of symmetric aero foil by flow analysis	AIP Conference Proceedings 2421 / 2421 / 1 / 0500021 - 05000212	0094-243X, 1551-7616	06-Jan-2022
23	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
24	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
25	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
26	Vibration Characterization of Reinforced Aluminium Composite Plates	Journal Of Engineering Science And Technology / 2 / 1 / 71 - 88	1823-4690	01-Feb-2019
27	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

Sl.No.	Name of the Conference /Seminar /Symposium	Type of Program	Title of the Article	Role	Venue/Place	Date
1	39th Annual Conference Of The Ramanujan Mathematical Society	Conference		Organizer)	Christ UniversityBangalore	27/12/2024
2	5th International Conference on Recent Trends in Applied and Computational Mathematics (ICRTACM - 2024)	Conference		Participant)	Reva UniversityBangalore	07/11/2024
3	2nd International conference on Emerging Trends in Engineering and Applied Sciences 2024	Conference	Graph Theoretical Indices in Silicate and Oxide Networks	Presenter)	S J C Institute of TechnologyBangalore	18/09/2024
4	International Conference on Advances in Applied Matheamtics	Conference		Moderator/Chair)	Tumkur University	10/01/2024
5	International Conference on Graph Theory and its Application	Conference		Organizer)	Christ UniversityCHRIST University, Bangalodre	30/11/2023
6	International Conference on Graphs, Networks and Combinatorics	Conference	Rainbow Chromatic Topological Indices of Line, Middle and Total Graphs of some Graphs	Presenter)	Ramanujan College, University of Delhi.Online	10/01/2023
7	International Conference on Evolution in Pure and Applied Mathematics.	Conference	QSPR analysis of certain drug molecules for Covid-19	Presenter)	Akal University, Talwandi Sabo, BathindaBangalore	16/11/2022
8	International Conference on Recent Developments in Mechanical Engineering	Conference		Participant)	Siddaganga Institute of TechnologySiddaganga Institute of Technology, Tumakuru.	24/06/2022
9	?International Conference on Recent Developments in Mechanical Engineering	Conference	QSPR Analysis Of Polycyclic Aromatic Hydrocarbons	Presenter)	Siddaganga Institute of TechnologySiddaganga Institute of Technology	24/06/2022
10	International Conference on Analysis and Applied Mathematics	Conference	Equitable and Non-Equitable zagreb Indices of Polycyclic Aromatic Hydrocarbons	Presenter)	Ayya Nadar Janaki Ammal College and Ramco Institute of TechnologySivakasi	26/04/2022
11	International Conference on Analysis and Applied Mathematics 22	Conference	Equitable and Non-Equitable Zagreb Indices of Polycyclic Aromatic Hydrocarbons	Presenter)	Ramco Institute of Technology, RajapalyamRajapalyam	26/04/2022
12	2nd International Conference on Advanced Research in Mechanical Engineering	Conference	Turbulent flow in forced convection heat transfer ? Numerical Validation	Presenter)	MVJ College of EngineeringBengaluru	29/04/2021
13	Recent Innovations in Engineering and Technology (ICRIET 2020)	Conference	Bounds for Alpha-Adjacency Energy of a Graph.	Presenter)	Nandha Engineering College, Erode, Tamil Nadu.Erode, Tamil Nadu	04/12/2020
14	Recent Innovation in Engineering and Technology	Conference	Bounds for Alpha Adjacency Energy of a Graph	Presenter)	Nandha Engineering College, TamilnaduErode, Tamil Nadu.	04/12/2020
15	International Conference on Recent Innovations in Engineering and Technology	Conference	Bounds for Alpha Adjacency Energy of a Graph	Presenter)	Nandha Engineering CollegeErode, Tamilnadu	04/12/2020
16	International Conference on Mathematics and its Applications	Conference	PBIB Designs in Coloring of Standard Graphs	Presenter)	Bangalore UniversityBangalore University, Bengaluru.	28/02/2020
17	ERCAM-2019	Conference	Optimization of Friction Stir Welding Parameters using Taguchi method for Aerospace Applications	Presenter)	Christ UniversityBengaluru	25/07/2019
18	National Conference on Emerging Trends in Applied Mathematics	Conference	The Bi-connected Domination Polynomial of A Graph	Presenter)	SJB Institute of TechnologyBangalore	04/05/2019
19	National Symposium on Mathematics and Its Applications	Symposium		Moderator/Chair)	Bangalore UniversityBangalore	27/04/2019
20	National Symposium on Mathematics and Its Applications	Symposium	PBIB-Designs in Science and Technology	Keynote Speaker)	Bangalore UniversityBangalore	27/04/2019
21	Recent Developments of Mathematics in Industrial Applications	Conference	Statistical Validations of Surface Roughness of Machined Aluminium Composites	Presenter)	Christ UniversityKuvempu University	11/04/2019
22	Recent Trends and Explorations in Mathematics	Conference		Participant)	The National College, BengaluruBengaluru	04/10/2018
23	Advances in Applied Mathematics	Conference		Participant)	Tumkur UniversityTumkur University, Tumkur	08/02/2018
24	National Conference on Recent Advances in Mathematical Sciences and Applications	Conference	PBIB in Hyper Cubes	Presenter)	Tumkur UniversityTumkur	01/12/2017
25	National Conference on Geometry, Topology and Their Applications	Conference	Generalized Vertex subsets of a graph	Presenter)	Karnatak University, DharwadDharwad	03/08/2016
26	National Conference on Geometry, Algebra, Logic an		National Conference on Geometry, Algebra, Logic and Number Theory, Application	Participant)	Tumkur University, Tumkur	-
27	Advances in Geometry, Analysis and Fluid Mechanics		Advances in Geometry, Analysis and Fluid Mechanics	Participant)	Kuvempu University	-
28		Conference	PBIB Designs arising from connected Dominating sets of some special classes of Graphs	Presenter)	Tumkur University, Tumkur	-

Sl.No.	Titel of the Program	Name of the Program	Date	Name of the Institution
1	Applications Of Mathematics For Engineers	Guest Talk	18/08/2023	R. R. Institute of Technology
2	Introduction to Graph Theory and its Applications	Invited Talk	04/12/2014	Tumkur University
3	Graph Theory and its Applications	Invited Talk for M.Sc Students	04/12/2014	Tumkur University

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	Reva University	Examiner
2	ON CERTAIN CLASSES OF LABELLINGS IN GRAPHS	LAKSHMINARAYANA S.	REVA UNIVERSITY	Examiner
3	SOME STUDIES IN THE THEORY OF DOMINATION AND RELATED PARAMETERS IN GRAPH	BALACHANDRA P.	S.J.B.I.T. - Under V.T.U.	Examiner
4	AN INVESTIGATION INTO THE GRAPH INVARIANTS BY MACHINE LEARNING	RICH K J	Christ University	Supervisor	Ongoing	February 2021
5	A Study On Algebraic Signed Graphs	NAGENDRA NAIK K	Visvesvaraya Technological University	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
12	.	DAMY P SHIBU	Christ University	Supervisor	Ongoing	February 2026

Sl.No.	Title of Invention	Inventor(s)	Filing Date
1	INDEX MASTER	MANJUNATH N,MAYAMMA JOSEPH,SOPHIA SHALINI G B	18-Dec-2024
2	COMPOPAVE	MANJUNATH N,DR. SANTHOSH N,DR. SWARNA S,RAMESHA K	02-Dec-2022
3	VAPPAV	HARI MURTHY,SHASHIKUMAR D,MANJUNATH N,SANTHOSH N	17-May-2022
4	KUNDANVAR	MANJUNATH N	19-Aug-2021

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, NIRANJANA S J		Internal

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

Sl.No.	Applicants	Title	Date Published
1	HARI MURTHY,SHASHIKUMAR D,MANJUNATH N	Wall mounted bathroom mirror with built-in defogger, clock and automatic alarm systems and a capacitive touch button	-
2	NIRANJANA S J,HARI MURTHY,SHASHIKUMAR D,MANJUNATH N	Emergency elevator opening system to evacuate passengers	-