Noorul Islam Centre for Higher Education

Education

SET - Mathematics, Mother Teresa University conducted by Government of Tamilnadu (2018)
Ph.D. - Mathematics, Manonmanaim Sundaranar University, Tirunelveli (2013)
P.G.D.C.A. - Computer Science, Manonmanaim Sundaranar University, Tirunelveli (1995)
M.Phil. - Mathematics, St.Xavier's College, Palayamkottai (1994)
M.Sc. - Mathematics, S.T. Hindu college, Nagercoil (1992)
B.Sc. - Mathematics, Women's christian College, Nagercoil (1990)

Experience

Head of the Department(i/c)/ Mathematics, Noorul Islam Centre for Higher Education (2024-12-12 - Present)
Associate Professor, NICHE,,KUMARACOIL (2019-04-05 - Present)
Assistant Professor, Noorul Islam Centre for Higher Education, Kumaracoil (2010-09-01 - 2019-04-04)
Senior Lecturer, Noorul Islam College of Engineering, Kumaracoil (2009-10-05 - 2010-08-31)
Lecturer, Noorul Islam College of Engineering, Kumaracoil (2000-09-19 - 2009-10-04)
Lecturer, The Indian Engineering College, Vadakkangulam (1998-10-07 - 2000-09-18)

Journal Publications

An Introduction to 2-Domination Integrity of Graphs by Uma Samundesvari Kand Christin Sherly J, IAENG International Journal of Applied Mathematics, :, pp (2025)
Application of double domination Integrtiy in PMU placement problem by K.UMA SAMUNDESVARI ,J.CHRISTIN SHERLY, Discrete Mathematics Algorithm and Applications (2025)
Computation of Double Domination Integrity of some special graphs by K.Uma Samundesvari and J.Christin Sherly, Journal of Information Systems Engineering and Management (2025)
Total Domination in Uniform Single valued Neutrosophic Graph by T.P. Sreelakshmi and K. Uma Samundesvari, Neutrosophic Sets and Systems (2024)
Complete Cototal Roman Domination Number of a Graph for User Preference Identification in Social Media by J. Maria Regila Baby and K. Uma Samundesvari, Computer Systems Science and Engineering (2023)
Bounds for complete cototal domination number of Cartesian Product graphs and Complement graphs by J. Maria Regila Baby and K. Uma Samundesvari, Discrete Mathematics, Algorithms and Applications (2022)
Complete Cototal Domination Number Central Graphs by J. Maria Regila Baby and K. Uma Samundesvari, Advances in Mathematics: Scientific Journal (2020)
Complete Cototal Edge Domination Number Of Certain Graphs by J. Maria Regila Baby and K. Uma Samundesvari, Advances in Mathematics: Scientific Journal (2020)
Complete Cototal Domination Number of Middle Graphs by J. Maria Regila Baby and K. Uma Samundesvari, International Journal of Innovative Technology and Exploring Engineering (IJITEE) (2020)
Harary Index Using Minimum Dominating Distance of Certain Graphs by K. Uma Samundesvari, J. Maria Regila Baby?, International Journal of Scientific Research and Review (2019)
Complete Cototal Domination Number of Certain Graphs by K. Uma Samundesvari, J. Maria Regila Baby?, International Journal of Recent Technology and Engineering (IJRTE) (2019)
Total and Forcing Total Edge – To-Vertex monophonic Number of a Graph by K.Uma Samundesvari, J.John, Journal of Combinatorial Optimization (2018)
Monophonic Wirelength of circulant networks into wheels and Fans by K. Uma Samundesvari, Sindhuja G. Michael, International Journal of Pure and Applied Mathematics (2018)
Monophonic Wirelength on Circulant Networks by K. Uma Samundesvari, Sindhuja G. Michael, International Journal of Engineering & Technology (2018)
Monophonic Wirelength in Graph Embedding by K. Uma Samundesvari, Sindhuja G. Michael, International Journal of Engineering & Technology (2018)
Medium Domination Number of Certain Graphs by J. Maria Regila Baby, K. Uma Samundesvari,, InInternational Journal of Emerging Research in Management &Technology (2017)
Monophonic Hyper Weiner Index of a Graph by K.Uma Samundesvari, Elias. J.Thomas, International Journal of Computer & Mathematical Sciences(IJCMS ) (2016)
Monophonic Weiner Index of a Graph by K.UmaSamundesvari,R.BermininSheeba, International Journal Of Multidisciplinary Research Review (IJMDRR) (2016)
The Edge Fixing edge-to-vertex Monophonic number of a graph by K. Uma Samundesvari, J. John, Applied Mathematics E notes (2015)
The Forcing Edge Fixing edge-to-vertex Monophonic number of a graph by J.John, K.Uma Samundesvari, Discrete Mathematics, Algorithms and Applications 5 (04), 1350034 (2013)
The edge-to-vertex Monophonic number of a graph by J.John, K.Uma Samundesvari, International Journal of Mathematical Archive 3 (2), 722-728 (2012)
The upper and forcing edge-to-vertex monophonic number of a graph by J John, K Uma Samundesvari, South Asian Journal of Mathematics (2012)
Complete Cototal Roman Domination Number of a Graph for User Preference Identification in Social Media by J. Maria Regila Baby and K. Uma Samundesvari, Computer Systems Science and Engineering (0)

Books Published

Engineering Mathematics – I, ISBN: ISBN-978-93-84295-06-6, Publisher: R.K.Publishers
Engineering Mathematics – II” , ISBN: 1, Publisher: Tri Sea Publishers,
Applied Mathematics – I, ISBN: ISBN-978-81-8472-183-6, Publisher: Anuradha Publications
Applied Mathematics – II, ISBN: ISBN-978-81-8472-195-9, Publisher: Anuradha Publications
Engineering Mathematics – I, ISBN: ISBN-978-81-8472-195-9, Publisher: Anuradha Publications
Engineering Mathematics – II, ISBN: ISBN-978-93-84295-13-4, Publisher: R.K.Publishers
Engineering Mathematics – I, ISBN: ISBN-978-93-84295-03-6, Publisher: R.K.Publishers
Harary Index using Minimum Dominating Distance of certain Graphs, ISBN: 1, Publisher: International Conference on ETMPC – 2019
Weiner Index of certain graphs using Distance Laplacian Matrix, ISBN: 1, Publisher: International Conference on ETMPC – 2019
Monophonic Distance In Graph Embedding, ISBN: 1, Publisher: International Conference on ETMPC – 2019
Entire Zagreb Indices of Certain Graphs , ISBN: 1, Publisher: National Conference on Emerging Trends in Mathematics and its Applications (Proceedings)- 2019
Complete Cototal Domination Number of Subdivision Graphs, ISBN: 1, Publisher: National Conference on Emerging Trends in Mathematics and its Applications (Proceedings)- 2019
Monophonic Distance Energy of Certain Graphs, ISBN: 1, Publisher: National Conference on Emerging Trends in Mathematics and its Applications (Proceedings)- 2019
Complete Cototal Edge Domination Number of Subdivision Graphs, ISBN: 1, Publisher: National Conference on Recent Trends in Algebra and Topology
On the Complete Cototal Domination Number of Subdivision Graphs, ISBN: 1, Publisher: International Conference on Discrete Mathematics
Engineering Mathematics – I, Dr. K.Uma Samundesvari,&Dr. M.Immaculate Mary , ISBN: ISBN-978-81-965312-2-5, Publisher: R.K. Publications

Patents

No patents available.

Conferences

Equitable Total Domination in Uniform Interval-Valued Neutrosophic Graphs. , International Conference (May 28, 2025)
Split Restrained Monophonic Domination Number of a Graph , International Conference (May 28, 2025)
Concept of double domination Integrity on the context of specific graphs, International (May 28, 2025)
Harmonic Index of Some Standard Graphs using Monophonic Domination degree, International Conference (May 28, 2025)
19. A comprehensive Review of Monophonic Domination in Graph Theory, Emerging Trends in Mathematical Sciences (May 21, 2024)
Relationship between the Matching and Total Domination in Graphs, National Conference (May 21, 2024)
First and second Zagreb Index of some graphs using Monophonic Domination Degree, National Conference On Emerging Trends In Mathematical Sciences (May 21, 2024)
Zagreb Indices of Some Standard Graphs using Monophonic Domination Degree, International Conference on Emerging Trends in Mathematical Sciences and Applications (April 26, 2023)
Double Domination Integrity of Some Families of Graphs, International Conference on Emerging Trends in Mathematical Sciences and Applications (April 26, 2023)
otal Domination in Inter valued Neutrosophic Graph, International Conference on Emerging Trends in Mathematical Sciences and Applications (April 26, 2023)
Equitable Total Domination in Single Valued Neutrosophic Graph, Advances in Graph Theory (March 3, 2023)
Some Results on Double Domination Integrity of Graphs, Trends and Prospectives in Mathematics and Applied Mathematics (January 24, 2023)
Total Domination in Single Valued Neutrosophic Graph, International Virtual Conference on Progress in Mathematics towards Industrial Applications (October 29, 2022)
Double Domination Integrity of Standard Graphs, nternational Virtual Conference on Progress in Mathematics towards Industrial Applications (October 28, 2022)
On the Complete Cototal Domination Number of Subdivision Graphs, International Conference on Discrete Mathematics (October 13, 2021)
Complete Cototal Edge Domination Number of Subdivision graphs, National Conference on Recent Trends in Algebra and Topology (January 20, 2020)
Monophonic Distance Energy of Certain Graphs, Emerging Trends in Mathematics and its Applications, (October 18, 2019)
Complete Cototal Domination Number of Subdivision Graphs, Emerging Trends in Mathematics and its Applications (October 18, 2019)
Entire Zagreb Indices of Certain Graph, Emerging Trends in Mathematics and its Applications (October 18, 2019)
Monophonic Distance In Graph Embedding, Emerging Trends in Mathematical, Physical and Chemical Sciences, (April 30, 2019)
Harary Index using Minimum Dominating Distance of certain Graphs, Emerging Trends in Mathematical, Physical and Chemical Sciences (April 30, 2019)
Weiner Index of certain graphs using Distance Laplacian Matrix, Emerging Trends in Mathematical, Physical and Chemical Sciences (April 30, 2019)
The Edge Fixing – Edge –To-Vertex Monophonic Number of a Graphs, Basic Sciences and ELT (April 4, 2012)

Projects

Dr. Uma Samundesvari K - RES-SAC-2023-020: Prediction of market arrival & price through statistical and AI/ML approaches

Faculty Development Programs (FDP)

Cybersecurity in Education, Protecting Institutions, Data and Digital Learning Ecosystem - Seven days FDP (July 11, 2025 to July 18, 2025)
Interdisciplinary Frontiers in Chemistry Physics, Mathematics: Bridging Concepts for Innovative Teaching - FDP (May 26, 2025 to May 31, 2025)
Emerging Trends in graph theory - Five days Faculty development programme (April 21, 2025 to April 25, 2025)
Exploring the Application of AI in Higher Education System - Seven days online FDP (January 10, 2025 to January 16, 2025)
RECENT FRONTIERS IN PURE AND APPLIED MATHEMATICS - Five day Virtual Faculty Developement Programme (November 11, 2024 to November 15, 2024)
Recent Frontiers in Pure & Applied Mathematics - Fdp (November 11, 2024 to November 15, 2024)
Intellectual Property Rights and Patents - FDP (May 20, 2024 to May 24, 2024)
Concept on Pure and Applied Mathematics - Five day online FDP (March 11, 2024 to March 15, 2024)
Latest Trends on Computational Mathematics - Theory, Methods & Applications - FDP (February 26, 2024 to March 1, 2024)
Pure and Applied Mathematics - FDP (February 3, 2024 to February 9, 2024)
Recent Trends in Mathematics and Technology - Five day online FDP (October 9, 2023 to October 13, 2023)
Advances in Graph Theory - Five day online FDP (September 11, 2023 to September 15, 2023)
Applicability of Mathematical Sciences in Emerging World - One week International FDP (August 7, 2023 to August 12, 2023)
Mathematical Modelling and Computations in Engineering - One week online FDP (July 24, 2023 to July 30, 2023)
Frontiers of Mathematics - 15 days International virtual FDP (July 5, 2023 to July 19, 2023)
Mathematics in real, Applied and Computational Domains - FDP (July 3, 2023 to July 7, 2023)
Sage Math - One week virtual FDP (June 26, 2023 to June 30, 2023)
Research Perspectives in Mathematics and its Applications - Two Week International FDP (July 4, 2022 to July 16, 2022)
PERCEPTIONS OF RESEARCH, PAPER PUBLICATION AND OVERVIEW OF PATENT FILING - 3 DAYS NATIONAL LEVEL FDP (August 25, 2021 to August 27, 2021)
a2z of NBA Accreditation Process - 14 days Online Faculty Development Program (August 24, 2021 to September 9, 2021)
Advanced Methodologies for Contemporary Research” - A Pragmatic Approach - One Week Online International Faculty Development Programme (August 16, 2021 to August 23, 2021)
Teaching and Learning in Digital Era - Five Days National Level Faculty Development Programm (August 16, 2021 to August 20, 2021)
Research Advances in Mathematics and its Applications - Two Week Faculty Development Programme (August 2, 2021 to August 14, 2021)
E-Content Development - National level Online Short Term Course (STC) (July 1, 2021 to July 8, 2021)
Mathematical Tools - Five Days FDP (June 21, 2021 to June 25, 2021)
COGNITIVE TECHNICAL SKILLS FOR MODERN CLASSROOM DELIVERY - One Week Short-Term Training Programme (June 21, 2021 to June 26, 2021)
Application of Mathematics and Programming in Science and Technology - Online FDP (June 1, 2021 to June 11, 2021)

Online Courses

Advanced Engieering Mathematics - NPTEL (January 20, 2025 to May 3, 2025)
Transform Calculus and its Applications in Differential Equations - NPTEL online certification (January 19, 2019 to April 19, 2019)

Events Organized

Dr. Uma Samundesvari K - PDP on Fractal Analysis
Dr. Uma Samundesvari K - Seminar on Fermatean Fuzzy Matrices
Dr. Uma Samundesvari K - Guest lecture on Metric Dimension of Graphs
Dr. Uma Samundesvari K - Guest lecture on Metric Dimension in Graphs
Dr. Uma Samundesvari K - Intercollegiate Quiz competition
Dr. Uma Samundesvari K - MATH FEST
Dr. Uma Samundesvari K - WORKSHOP ON SPSS
Dr. Uma Samundesvari K - University Library, Keral University
Dr. Uma Samundesvari K - International Women's day
Dr. Uma Samundesvari K - INAGURATION OF AKKA PROGRAMME IN NICHE
Dr. Uma Samundesvari K - International Conference
Dr. Uma Samundesvari K - Awareness Talk on Role of Youth in Preventing Trafficking and Exploitation of Women and Children

Awards

Dr. Uma Samundesvari K - NPTEL online certification-Silver Elite
Dr. K. Uma Samundesvari - NPTEL Online Certification- Elite Silver Medal on 2019
Dr. K. Uma Samundesvari - Outstanding Staff Achiever Award by NICHE on the 4th rememberance of Dr.A.P.J. Abdul Kalam,2019

Guest Activities

No guest activities available.

Additional Contributions

Other - Reviewer (May 18, 2025)
Other - Reviewer (April 18, 2025)
Other - International Women's day (March 6, 2025)
Other - Women Empowerment Cell (January 28, 2025)
Other - Internal Compliance Cell (January 28, 2025)
Other - Board Studies Meeting (December 13, 2024)
Other - University level- Disciplinary Committee (December 12, 2024)
Other - University Exam Theory Evaluation (December 12, 2024)
Other - Academic Council (December 12, 2024)
Other - Board Studies Meeting (December 12, 2024)
Other - Awareness program on AKKA program (November 19, 2024)
Other - Doctoral Committee Meeting (January 13, 2024)
Other - IQAC Mentoring Committee (December 6, 2023)
Other - Academic Coordinator (September 23, 2023)
Other - Science and Innovation Cell (February 28, 2023)
Other - BOS Member (April 7, 2022)
Webinar - virtual webinar on “ Advanced Mathematical Tools For Engineering Research” (October 1, 2021)
Workshop - Newfangled Avenues of Applied Mathematics (August 11, 2021)
Webinar - NATIONAL WEBINAR ON STATISTICS IN RESEARCH DATA ANALYSIS (June 28, 2021)
Training Program - “COGNITIVE TECHNICAL SKILLS FOR MODERN CLASSROOM DELIVERY (June 21, 2021)
Webinar - HOW TO SUCCESSFULLY WRITE A JOURNAL PAPER AND PROJECT PROPOSAL (June 18, 2021)
Workshop - Course and Instruction Design for Effective Outcome Based Education (June 10, 2021)
Webinar - Test of Significance by SPSS (June 5, 2021)
Webinar - NEP 2020-A Plethora of Oppurtunities (April 5, 2021)
Other - Doctoral Committee Meeting (August 12, 2018)
Other - Research (August 19, 2014)
Other - Ladies Hostel Monitoring Committee (March 31, 2011)

Dr. Uma Samundesvari K