M Sudha

Assistant Professor at Noorul Islam Centre For Higher Education

, Tamil Nadu, India

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Scholar9 ID | S9-032026-22673

Noorul Islam Centre For Higher Education

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17 Publications

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👤 About

I am an Assistant Professor of Mathematics with a Ph.D. in Graph Theory from Noorul Islam Centre for Higher Education. I have over 15 years of teaching experience, including 17 years at Noorul Islam Centre for Higher Education. My expertise lies in Graph Theory, Fuzzy Graph Theory, and Algebraic Graph Theory. I have guided several M.Phil. and Ph.D. scholars and have published numerous articles in scientific journals and presented papers at various national and international conferences.

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Graph Theory Fuzzy Graph Theory Algebraic Graph Theory Mathematical Modeling Optimization Communication Technologies AI Language Models Cryptographic Implementation Data Science Network Routing Cordial Graphs Graph Decomposition Mathematical Sciences

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💼 Experience

Assistant Professor

Noorul Islam Centre For Higher Education · June 2008 - Present

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P.G.Assistant

St.Terasa's Matriculation Higher Secondary School, Vazhukkamparai · January 2006 - January 2008

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P.G.Assistant

Sri Vivekananda Matriculation Higher Secondary School, Kootumangalam · January 2004 - January 2005

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SSLC in · 1994

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🎤 Conferences & Seminars (33)

Advances in Automotive Tribology in India

Department of Automobile Engineering, NICHE · City , Tamil Nadu, Country · February 2026

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Global Perspectives on Sustainable Computing and Intelligent Innovations IC-GP-SC-II 2026

School of Computer Science, VLB Janakiammal College of Arts and Science · City , Tamil Nadu, Country · March 2026

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Global Perspectives on Sustainable Computing and Intelligent Innovations IC-GP-SC-II 2026

School of Computer Science, VLB Janakiammal College of Arts and Science · City , Tamil Nadu, Country · March 2026

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Frontiers in Applied and Computational Mathematics

Department of Mathematics, NICHE · City , Tamil Nadu, Country · February 2026

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Frontiers in Applied and Computational Mathematics

Department of Mathematics, NICHE · City , Tamil Nadu, Country · February 2026

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Frontiers in Applied and Computational Mathematics

Department of Mathematics, NICHE · City , Tamil Nadu, Country · February 2026

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Advances in Graph Theory and Topology

Department of Mathematics, Holy Cross College · Nagercoil, Tamil Nadu, Country · February 2026

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Recent Advances in Mathematical Sciences

Department of Mathematics, Gujarat University · City , Gujarat, Country · January 2026

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Emerging Trends in Education & Research

COSMOSSKY HORIZON (OPC) PRIVATE LIMITED Collaboration with The International Journal of Interpretation, Observation and Analysis · City , Haryana, Country · December 2025

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Recent Developments in Pure and Applied Mathematics(RDPAM-2015)

Department of Mathematics and IQAC, Government Degree College Chakrat, Dehradun in collaboration with Department of Mathematics, Pt. Lalit Mohan Sharma Campus, Rishikesh(Sridev Suman University, Uttarakhand) · Dehradun, Uttarakhand, Country · November 2025

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Applied Mathematics and Data Science(ICAMDS 2025)

Department of Mathematics, Morning Star Arts and Science College, Pasumpon, Kamuthi and Department of Mathematics, North Bengal St.Xavier's College · City , West Bengal, Country · November 2025

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Advancements in Computer Science and Engineering

Department of Computer Science and Engineering, New Horizon College of Engineering · Bengaluru, Karnataka, Country · June 2025

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Emerging Trends in Material Sciences

Department of Chemistry and Physics, NICHE · City , Tamil Nadu, Country · May 2025

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AI-Powered Approaches to Graph Theory and Applications (INAIGA-2025)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2025

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AI-Powered Approaches to Graph Theory and Applications (INAIGA-2025)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2025

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AI-Powered Approaches to Graph Theory and Applications (INAIGA-2025)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2025

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Emerging Trends in Mathematical Sciences (Ncetms-2024)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2024

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Emerging Trends in Mathematical Sciences (Ncetms-2024)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2024

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Emerging Trends in Mathematical Sciences (Ncetms-2024)

Department of Mathematics, NICHE · City , Tamil Nadu, Country · May 2024

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Advanced Materials for Sustainability (ICAMS-24)

Department of Physics, NICHE · City , Tamil Nadu, Country · May 2024

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Emerging Trends Mathematical Sciences and Applications

Department of Mathematics, NICHE · City , Tamil Nadu, Country · April 2023

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Emerging Trends-Mathematical Sciences and Applications

Department of Mathematics, NICHE · City , Tamil Nadu, Country · April 2023

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Recent Trends in Discrete and Applied Mathematics

Department of Mathematics, St. Alphonsa College of Arts and Science · City , Tamil Nadu, Country · March 2023

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Recent Trends in Discrete and Applied Mathematics

Department of Mathematics, St. Alphonsa College · City , Tamil Nadu, Country · March 2023

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Integrated Disciplines for Sustainable Development

Human resource Development Centre, Scott Christian College, Nagercoil in collaboration with Curtin University, Dubai, UAE · Nagercoil, Tamil Nadu, Country · February 2023

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Recent Trends in Pure and Applied Mathematics (RETRIM'21)

Department of Mathematics, Sarah Tucker College · Tirunelveli, Tamil Nadu, Country · October 2021

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Recent Trends in Algebra and Topology

Department of Mathematics, Rani Anna Government College · City , Tamil Nadu, Country · January 2020

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Emerging Trends in Mathematics and its Applications

Department of Mathematics, NICHE · City , Tamil Nadu, Country · October 2019

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Emerging Trends in Mathematical, Physical and Chemical Sciences

Department of Mathematics, NICHE · City , Tamil Nadu, Country · February 2019

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Novel Issues and Challenges in Science and Engineering

Department of Mathematics NICHE · City , Tamil Nadu, Country · July 2016

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Global conference on communication technologies gcct-2015

Department of Electrical and Electronics Engineering, NICHE · City , Tamil Nadu, Country · April 2015

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modelling, optimisation and computing (ICMOC – 2014)

Department of Mechanical Engineering, NICHE · City , Tamil Nadu, Country · April 2014

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Emerging Trends in Graph Theory and Fuzzy Mathematics

A.P.C Mahalaxmi college for women · City , Tamil Nadu, Country · September 2013

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📖 Role in Research Journals (4)

Reviewer

Journal: Crossian Journal of Multidisciplinary Research. || Publisher Name:

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Journal: Journal of Mathematics || Publisher Name: John Wiley & Sons, Inc.

🔗 https://onlinelibrary.wiley.com/journal/1469?_gl=1*tp7mnw*_gcl_au*MTExNDY5NzkwMy4xNzQ2NTIyMDY5

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Journal: International Journal of Research and Analytical Reviews || Publisher Name: IJ Publication

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🔗 https://www.ijrar.org/

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Journal: Asian Journal of Pure and Applied Mathematics || Publisher Name: International Press of Boston, Inc..

AJPAM

🔗 https://www.pulsus.com/journal-pure-applied-mathematics.html

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📚 Publications (17)

Study on Properties of Divisor Graphs of Finite Groups

Journal: The International Journal of Interpretation, Observation and Analysis • 2026

Algebraic graph theory provides a natural bridge between algebra and graph theory by encoding algebraic relationships as adjacency structures. Among these, divisor graphs and coprime graphs represen...

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A Lightweight and High-Security Graph Cryptosystem for Smart Cities and Cyber Physical Systems

Journal: Next-Gen AI and Data Science: Advanced Models, Intelligent Analytics, and Real-World Deployment, Cogniverse Press, Jorhat, Assam, India • 2026

This chapter explores the integration of graph theory and cryptographic design within intelligent digital ecosystems, including smart cities and cyber-physical systems. A novel graph structure terme...

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Synthesis of Index Difference Graph Structures for Cryptographic Implementation

Journal: Symmetry • 2025

Cryptography stands out as a scientific methodology for safeguarding communication against unauthorized access. This article proposes a newly formulated graph termed the Index Difference Graph (IDG)...

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Modular Cryptographic Algorithm Using Index Difference Ladder Graph

Journal: International Jounal of Mathematics and Computer Science • 2025

Cryptography can be used to conceal the message visible solely to the sender and the intended receiver. In this study, we propose a newly formulated graph, referred to as the Index Difference Graph...

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Construction of Fifth Root Biquadrate Mean Cordial Graph and its Code-Based Validation

Journal: International Journal of Applied Mathematics • 2025

In this work, we introduce a new graph-based method called the fifth-root biquadrate mean cordial technique. A graph that satisfies the conditions of this technique is referred to as a fifth-root...

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Fuzzy Edge Graceful Labeling on Double Wheel Graph

Journal: The International Journal of Interpretation, Observation and Analysis • 2025

A graph is said to be gracefully labeled if it admits a graceful numbering. A graph that allows a fuzzy graceful labeling is referred to as a fuzzy graceful graph. In this paper we introduce the n...

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Review on intuitionistic Fuzzy labeling of graphs

Journal: Materials and its Applications Towards Viksit Bharat @2047 • 2025

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A Comprehensive Review on Crafting Intelligent Prompts for AI Language Models

Journal: International Journal of Scientific Research in Computer Science, Engineering and Information Technology • 2024

In the fields of artificial intelligence (AI) and natural language processing (NLP), prompt engineering is a relatively new field that focuses on creating "prompts" or inputs that may be used to get...

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Study on Properties of Order Divisor Graphs of Finite Groups

Journal: International Journal of Research in Engineering and Bioscience • 2024

Exploring synergy between Algebra and Graph Theory, Algebraic Graph Theory delves into the intriguing realm where graphs are defined by the group 𝐺 as their vertex set. This paper intricately examin...

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Arithmetic Odd Decomposition of Graphs

Journal: Journal of Applied Mathematics and Statistical Analysis • 2023

The most important area in graph theory is graph decomposition [10]. Graph decomposition was first introduced by the mathematician Konig in 1960.Graph decomposition usually means collection of edg...

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Geometric Decomposition of Graphs with Various Common Ratios

Journal: Advances in Mathematics: Scientific Journal • 2020

Let G = (V,E) be a simple connected graph with p vertices and q edges. A decomposition of G is a collection of edge disjoint subgraphs G1,G2,...,Gn of G such that every edge of G belongs to exactly...

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H – E Super Magic Hamilton Decomposition of Graphs

Journal: Advances in Mathematics: Scientific Journal • 2020

A Hamilton decomposition of G is a partition of its edge set into dis joint Hamilton cycles. A Hamilton cycle in a graph G is a cycle passing through every vertex of G.The graph G is said to be H...

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Note On H– Totally Magic Cordial Decomposition of Graphs

Journal: Journal of Xi'an University of Architecture Technology • 2020

The graph G is said to be H−Totally Magic Cordial if there exists a mapping 𝝍 ∶ 𝐕 ∪ 𝐄 → {𝟎,𝟏} such that for every copy H in the decomposition 𝝍(𝒖) + 𝝍(𝒗) + 𝝍(𝒖𝒗) ≡ 𝑪 (𝒎𝒐𝒅 𝟐)...

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k-Even Even Edge Graceful Labeling and Some Complementary Graceful Labeling

Journal: International Journal of Science and Research (IJSR) • 2015

S.P Lo [4] introduced the notion of edge-graceful graphs. Sin-Min Lee, Kuo-Jye Chen and Yung-Chin Wang[6] introduced the k-edge-graceful graphs. B. Gayathri, M. Duraisamy and M. Tamilselvi [3] intro...

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Relation Between Different Types of Graceful Graphs

Journal: International Journal of Applied Engineering Research • 2014

A graceful labeling (or β-valuation) of a graph G = (V, E) with m =ǀVǀ vertices and n =ǀEǀ edges is a one-to-one mapping f of the vertex set V(G) into the set {0,1,2, …, n} with the following pr...

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Odd and Even Gracefulness of Some Classes of Graphs

Journal: European Journal of Scientific Research (EJSR) • 2013

In this paper, we prove that the caterpillar graphs, Bn,m ,C4 (k1, n) and the Dutch windmill graph (m) n D for some specific values of n are all odd graceful and the caterpillar graphs, D2 (Pn),...

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Even-even gracefulness of some families of graphs

Journal: IOSR Journal of Mathematics (IOSR-JM) • 2013

In this paper, we prove that the Dumbbell graph, Star graph, Cartesian product n C P2 and K1 + Cn are even-even graceful. The even-even graceful labeling of a graph G with q edges means that ther...

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🎓 Education

Noorul Islam Centre For Higher Education

Nadar Mahajana Sangam Kamaraj College of Education, Pazhavilai

Distance Education

Vivekanda college, Agasteeswaram

Muslim Arts College, Thiruvithancode

AVD Higher Secondary School, Ganapathipuram

Govt Girls Higher Secondary School, Kadiapattanam

🎤 Conferences & Seminars (33)

📖 Role in Research Journals (4)

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📚 Publications (17)

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