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Dr MANJUNATH N

MSc, MPhil, PhD
SCHOOL OF ENGINEERING AND TECHNOLOGY

Articles in Periodicals

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

Articles in Journals

Sl.No. Title Name of Journal Date of Publication Volume No/Issue No/Page No
1 Rainbow Chromatic Topological Indices Of Central Graphs Of Some Graphs Palestine Journal of Mathematics 10-Jul-2024 13 / 2 / 271-284

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,GLORY C
Title of Article Rainbow Chromatic Topological Indices Of Central Graphs Of Some Graphs
Name of Journal Palestine Journal of Mathematics
Volume No 13
Issue No 2
Page No 271-284
URL https://pjm.ppu.edu/
Date of Publication 10-Jul-2024
2 QSPR Analysis of Polycyclic Aromatic Hydrocarbons Journal of Mines, Metals and Fuels 15-Sep-2023 70 / 8(A) / 1-7

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) RAMESHA K,MANJUNATH N
Title of Article QSPR Analysis of Polycyclic Aromatic Hydrocarbons
Name of Journal Journal of Mines, Metals and Fuels
Volume No 70
Issue No 8(A)
Page No 1-7
URL https://informaticsjournals.com/index.php/jmmf/about
Date of Publication 15-Sep-2023
3 On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs Communications in Mathematics and Applications 15-Sep-2023 14 / 5 / 1625-1643

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,R. MANJUNATHA
Title of Article On the Hyper Zagreb Indices of the Subdivision Related Composite Graphs
Name of Journal Communications in Mathematics and Applications
Volume No 14
Issue No 5
Page No 1625-1643
URL https://www.rgnpublications.com/journals/index.php/cma/index
Date of Publication 15-Sep-2023
4 Some results on b-chromatic topological indices of some graphs AIP Conference Proceedings 31-Aug-2023 2852 / 100002 / 1-10

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N
Title of Article Some results on b-chromatic topological indices of some graphs
Name of Journal AIP Conference Proceedings
Volume No 2852
Issue No 100002
Page No 1-10
URL https://pubs.aip.org/aip/acp
Date of Publication 31-Aug-2023
5 Computation of b-Chromatic Topological Indices of some graphs and its derived graphs South East Asian Journal of Mathematics 10-Aug-2023 19 / 2 / 241-260

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,GLORY C
Title of Article Computation of b-Chromatic Topological Indices of some graphs and its derived graphs
Name of Journal South East Asian Journal of Mathematics
Volume No 19
Issue No 2
Page No 241-260
URL https://rsmams.org/journals/seajmams/home
Date of Publication 10-Aug-2023
6 On Transformed Graphs South East Asian Journal of Mathematics 24-Jul-2023 19 / 2 / 179-202

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,ISHITA SARKAR,IVAN GUTMAN
Title of Article On Transformed Graphs
Name of Journal South East Asian Journal of Mathematics
Volume No 19
Issue No 2
Page No 179-202
URL https://rsmams.org/journals/seajmams/home
Date of Publication 24-Jul-2023
7 Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs Filomat 02-Jul-2023 38 / 1 / 25-32

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,IVAN GUTMAN
Title of Article Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs
Name of Journal Filomat
Volume No 38
Issue No 1
Page No 25-32
URL https://journal.pmf.ni.ac.rs/filomat/index.php/filomat
Date of Publication 02-Jul-2023
8 Bounds related to product variants of graphs Palestine Journal of Mathematics 01-May-2023 12 / 2 / 1-24

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B. CHALUVARAJU,V. LOKESHA
Title of Article Bounds related to product variants of graphs
Name of Journal Palestine Journal of Mathematics
Volume No 12
Issue No 2
Page No 1-24
URL https://pjm.ppu.edu/
Date of Publication 01-May-2023
9 Bounds of Sombor Index for F-Sum Operation Palestine Journal of Mathematics 01-May-2023 12 / 2 / 504-516

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B. CHALUVARAJU,V. LOKESHA
Title of Article Bounds of Sombor Index for F-Sum Operation
Name of Journal Palestine Journal of Mathematics
Volume No 12
Issue No 2
Page No 504-516
URL https://pjm.ppu.edu/
Date of Publication 01-May-2023
10 QSPR Analysis of Polycyclic Aromatic Hydrocarbons Journal of Mines, Metal and Fuels 01-May-2023 70 / 8A / 49-55

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N
Title of Article QSPR Analysis of Polycyclic Aromatic Hydrocarbons
Name of Journal Journal of Mines, Metal and Fuels
Volume No 70
Issue No 8A
Page No 49-55
URL http://www.informaticsjournals.com/index.php/jmmf
Date of Publication 01-May-2023
11 On Second Hyper-Zagreb Index of Corona Products Related to R-Graphs International Journal of Applied Mathematics 01-May-2023 36 / 3 / 301-322

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N
Title of Article On Second Hyper-Zagreb Index of Corona Products Related to R-Graphs
Name of Journal International Journal of Applied Mathematics
Volume No 36
Issue No 3
Page No 301-322
URL https://www.diogenes.bg/ijam/
Date of Publication 01-May-2023
12 Characterization Of Bounds For a−Adjacency Energy Of A Graph The Mathematics Student 01-May-2023 92 / 3-4 / 147-154

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B. SHANMUKHA,SHWETHA H. N
Title of Article Characterization Of Bounds For a−Adjacency Energy Of A Graph
Name of Journal The Mathematics Student
Volume No 92
Issue No 3-4
Page No 147-154
URL https://www.indianmathsoc.org/MS.html
Date of Publication 01-May-2023
13 QSPR Analysis Of Certain Anti-Hiv Drugs South East Asian Journal of Mathematics and Mathematical Sciences 30-Dec-2022 18 / 3 / 283-306

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N
Title of Article QSPR Analysis Of Certain Anti-Hiv Drugs
Name of Journal South East Asian Journal of Mathematics and Mathematical Sciences
Volume No 18
Issue No 3
Page No 283-306
URL https://www.rsmams.org/journals/seajmams/home
Date of Publication 30-Dec-2022
14 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 21-Nov-2022 2022 / / 1-13

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) RAMESHA K,B. A. PRAVEENA,N. SANTHOSH,ABDULRAJAK BURADI,H. V. SRIKANTH,G. SHANKAR,MANJUNATH N,S. N. KARTHIK,M. RUDRA NAIK,S. PRAVEEN KUMAR
Title of Article Experimental Investigation on Density and Volume Fraction of Void, and Mechanical Characteristics of Areca Nut Leaf Sheath Fiber-Reinforced Polymer Composites
Name of Journal International Journal of Polymer Science
Volume No 2022
Issue No
Page No 1-13
URL https://www.hindawi.com/
Date of Publication 21-Nov-2022
15 Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant. PLOS ONE 03-May-2022 17 / 5 / 1-13

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,LEI ZHANG,MUHAMMAD IJAZ KHAN,ESSAM ROSHDY EL-ZAHAR,NEHAD ALI SHAH,JAE DONG CHUNG,SAMI ULLAH KHAN,M. IMRAN KHAN
Title of Article Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant.
Name of Journal PLOS ONE
Volume No 17
Issue No 5
Page No 1-13
URL file:///C:/Users/Honnagangappa%20m/Desktop/Research/MN%20Papers/PLUS%20ONE.pdf
Date of Publication 03-May-2022
16 Applications of Bioconvection for Tiny Particles due to two Concentric Cylinders when Role of Lorentz Force is Significant PLoS ONE 03-May-2022 17 / 5 / 0265026-

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) PUNEETH V,LEI ZHANG,M IJAZ KHAN, ESSAM ROSHDY EL-ZAHAR,MANJUNATH N,NEHAD ALI SHAH,JAE DONG CHUNG,SAMI ULLAH KHAN,M IMRAN KHAN
Title of Article Applications of Bioconvection for Tiny Particles due to two Concentric Cylinders when Role of Lorentz Force is Significant
Name of Journal PLoS ONE
Volume No 17
Issue No 5
Page No 0265026-
URL https://journals.plos.org/plosone/
Date of Publication 03-May-2022
17 Friction Stir Welding of Dissimilar Aluminium Alloys for Vehicle Structures International Journal of Vehicle Structures and Systems 30-Jan-2022 14 / 1 / 5-9

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) RAMESHA K,P D SUDERSANAN,A C GOWDA,N SANTHOSH,JANGAM SASIDHAR,MANJUNATH N
Title of Article Friction Stir Welding of Dissimilar Aluminium Alloys for Vehicle Structures
Name of Journal International Journal of Vehicle Structures and Systems
Volume No 14
Issue No 1
Page No 5-9
URL https://maftree.org/eja/index.php/ijvss/article/view/1890
Date of Publication 30-Jan-2022
18 Turbulent Flow in Forced Convection Heat Transfer - Numerical Validation International Journal of Vehicle Structures and Systems 30-Jan-2022 14 / 1 / 18-21

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,N. SANTHOSH,H. V. HARISH,G. S. SUNIL,K. MANJUNATH,ASHWIN C. GOWDA,VIVEKANAND B. HUDDAR
Title of Article Turbulent Flow in Forced Convection Heat Transfer - Numerical Validation
Name of Journal International Journal of Vehicle Structures and Systems
Volume No 14
Issue No 1
Page No 18-21
URL https://maftree.org/eja/index.php/ijvss/article/view/1893
Date of Publication 30-Jan-2022
19 Stalling angle predictions of symmetric aero foil by flow analysis AIP Conference Proceedings 2421 06-Jan-2022 2421 / 1 / 0500021-05000212

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,N. SANTHOSH,H V HARISH,G. S. SUNIL,VIVEKANAND B. HUDDAR,ASHWIN C. GOWDA,ASIF AFZAL,ABDUL RAZZAK,B. A. PRAVEENA
Title of Article Stalling angle predictions of symmetric aero foil by flow analysis
Name of Journal AIP Conference Proceedings 2421
Volume No 2421
Issue No 1
Page No 0500021-05000212
URL https://aip.scitation.org/doi/abs/10.1063/5.0076724?journalCode=apc
Date of Publication 06-Jan-2022
20 On the Energy of Graphs Associated with Vector Spaces Journal of Huazhong University of Science and Technology 03-Apr-2021 50 / 3 / 1-8

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B. SHANMUKHA,SHWETHA H. N
Title of Article On the Energy of Graphs Associated with Vector Spaces
Name of Journal Journal of Huazhong University of Science and Technology
Volume No 50
Issue No 3
Page No 1-8
URL http://xb.hust.edu.cn/english
Date of Publication 03-Apr-2021
21 Bounds for Alpha Adjacency Energy of a Graph IOP Conf. Series: Materials Science and Engineering 22-Feb-2021 1070 / 012019 / 1-8

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B. SHANMUKHA ,SHWETHA H. N.
Title of Article Bounds for Alpha Adjacency Energy of a Graph
Name of Journal IOP Conf. Series: Materials Science and Engineering
Volume No 1070
Issue No 012019
Page No 1-8
URL https://iopscience.iop.org/article/10.1088/1757-899X/1070/1/012019
Date of Publication 22-Feb-2021
22 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 28-Jun-2019 / 44 / 1-11

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) RAMESHA K,MANJUNATH N,KIRAN K,SANTHOSH N,NARESH N
Title of Article Effect of the Process Parameters on Machining of GFRP Composites for Different Conditions of Abrasive Water Suspension Jet Machining
Name of Journal Arabian Journal for Science and Engineering
Volume No
Issue No 44
Page No 1-11
URL https://journalsearches.com/journal.php?title=Arabian%20Journal%20for%20Science%20and%20Engineering#:~:text=Arabian%20Journal%20For%20Science%20And%20Engineering%20Impact%20Factor%202023,cited%20in%20
Date of Publication 28-Jun-2019
23 Vibration Characterization of Reinforced Aluminium Composite Plates Journal Of Engineering Science And Technology 01-Feb-2019 2 / 1 / 71-88

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) SANTHOSH N,CHENNAKESHAVA R,MANJUNATH N,RAMESHA K
Title of Article Vibration Characterization of Reinforced Aluminium Composite Plates
Name of Journal Journal Of Engineering Science And Technology
Volume No 2
Issue No 1
Page No 71-88
URL https://www.researchgate.net/publication/330926457_Vibration_Characterization_of_Reinforced_Aluminium_Composite_Plates
Date of Publication 01-Feb-2019
24 PBIB-designs and association schemes arising from minimum bi-connected dominating sets of some special classes of graphs. Afrika Matematika 08-Sep-2017 24 / https://link.springe / 1-17

Additional information

Category Article in Research Journal
Sole Authored /Co Authored Co-Author
Author Name (s) MANJUNATH N,B.CHALUVARAJU
Title of Article PBIB-designs and association schemes arising from minimum bi-connected dominating sets of some special classes of graphs.
Name of Journal Afrika Matematika
Volume No 24
Issue No https://link.springe
Page No 1-17
URL https://link.springer.com/article/10.1007/s13370-017-0525-5
Date of Publication 08-Sep-2017

Participation in Seminars/Conferences/Symposium

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

Invited Talks

Sl.No. Title 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

Own MPhil/PhD Thesis

Sl.No. Title Guide Name Institution Month Year
1 Some Results towards Graphs and Combinatorics. Dr. B. Chaluvaraju Bangalore University

MPhil/PhD Guided/Adjudicated

Sl.No. Title Name of Student Institution Month Year
1 On Certain Classes of Labellings in Graphs Lakshmi Narayana. S. Reg No: R14PMT03 Reva University
2 ON CERTAIN CLASSES OF LABELLINGS IN GRAPHS LAKSHMINARAYANA S. REVA UNIVERSITY
3 SOME STUDIES IN THE THEORY OF DOMINATION AND RELATED PARAMETERS IN GRAPH BALACHANDRA P. S.J.B.I.T. - Under V.T.U.
4 ALGORITHMS FOR DOMINATING SET IN GRAPH THEORY AND ITS COMPARISON RICH K J Christ University February 2021
5 A Study On Algebraic Signed Graphs NAGENDRA NAIK K Visvesvaraya Technological University
6 A STUDY ON CERTAIN TOPOLOGICAL INDICES AND RELATED POLYNOMIALS IN GRAPHS ISHITA SARKAR Christ University July 2024
7 A Study on Coloring Parameters and Topological Indices of Graphs Glory C Christ University June 2024
8 . GLORY C Christ University June 2024
9 NEW PERSPECTIVES OF VERTEX COLORING OF GRAPHS IDA DAVID Christ University September 2024

Patents

Sl.No. Title of Invention Inventor(s) Filing Date
1 COMPOPAVE MANJUNATH N,DR. SANTHOSH N,DR. SWARNA S,RAMESHA K 02-Dec-2022

Additional information

Title of Invention COMPOPAVE
Applicant/Co-Applicant
Applicant (s)
Inventor /Co-Inventor
Inventor (s) MANJUNATH N,DR. SANTHOSH N,DR. SWARNA S,RAMESHA K
Type of Specification Provisional
Type of Patent
Granted/Awarded Date
Publication/Application Date 09-Dec-2022
Application/Filing Date 02-Dec-2022
IPC Number
Publication Number 202241069574 A
Patent Number 202241069574 A
Field of Invention Civil
2 KUNDANVAR MANJUNATH N 19-Aug-2021

Additional information

Title of Invention KUNDANVAR
Applicant/Co-Applicant
Applicant (s)
Inventor /Co-Inventor
Inventor (s) MANJUNATH N
Type of Specification Provisional
Type of Patent
Granted/Awarded Date
Publication/Application Date 19-Aug-2021
Application/Filing Date 19-Aug-2021
IPC Number
Publication Number 202141037561
Patent Number 202141037561
Field of Invention CIVIL

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, NIRANJANA S J Internal

Workshop/FDP/Training programme Attended

Sl.No. Name of the Workshop/FDP/Training programme Name of Oraganiser Level Date
1 Designing interactive web experiences, integrating dynamics functionalities, and utilizing industry-standard tools is commendable. L&T EduTech Institutional 13/06/2023
2 Faculty Development Program on Curriculum Design and Revision CHRIST University Institutional 05/12/2022
3 Ramanujan's Contribution to Number Theory and Applications Vivekananda College of Engineering and Technology National 03/08/2022
4 Faculty Development Program - 1 CHRIST University Institutional 06/07/2022
5 Sources of Research Grant and Art of Writing a Research Paper R L Jalappa Institute of Technology National 03/06/2021
6 Hybrid Teaching Staff Development College Institutional 02/03/2021
7 Probability Models and Applications Jain University National 06/10/2020
8 International Webinar on Biological Mathematics CHRIST (Deemed to be University) International 17/08/2020
9 An Overview of Differential Equations CHRIST (Deemed to be University) 07/08/2020
10 Future and Conspiracy of Basic Research CHRIST (Deemed to be University) National 03/08/2020
11 Chromatic Polynomials of Graphs from Lie Algebra CHRIST (Deemed to be University) National 27/07/2020
12 Mathematical Concepts by Using Free Open Source Softwares BMS Institute of Technology and Management International 21/07/2020
13 Online Quiz in English Grammar CHRIST UNIVERSITY 15/06/2020
14 Advanced Instructional Strategies in the Virtual Class room University of California, Irvine International 15/04/2020
15 Differential Equations for Engineers The Hong Kong University of Science and Technology International 05/04/2020
16 Research As a Culture in the Department and Consultancy CHRIST UNIVERSITY 21/05/2019
17 Linear Algebra for Engineering Applications and Hands-on Training with MATLAB Bangalore Institute of Technology National 01/04/2019
18 Linear Algebra for Engineering Applications and Hands-on Training with MATLAB Bangalore Institute of Technology National 01/04/2019
19 Advances in Welding and Characterization National Institute of Technology National 29/12/2018
20 Intellectual Property Rights CHRIST (Deemed to be University) Institutional 06/08/2018
21 Frontier Areas in Subject and Curriculum Updation Academic Staff College, Christ (Deemed to be University) 21/05/2018
22 Faculty Development Programme on Applications of Differential Equations in Engineering Problems PES University National 20/07/2017
23 QIP on Teaching, Learning and Evaluation CU-Academic Staff College 22/05/2017
24 Lecture Workshop on Fourier Analysis and Applications Jain University National 16/02/2017
25 National Workshop on Graph Theory and its Applications Amrita Vishwa Vidyapeetham University, Bengaluru. National 06/08/2015
26 Group Theory and Applications Jain University National 22/12/2014
27 Critical thinking for Professional Excellence CU-Academic Staff College Institutional 15/04/2014
28 Quality Improvement Programme 2014 CU-Academic Staff College Institutional 20/01/2014
29 Mathematics Workshop on Scilab and Maxima Oxford College of Science Institutional 16/11/2012

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