Discrete Mathematics and Mathematical Modelling in the Digital Era

This book features carefully selected research papers presented during the 9th International Conference on Discrete Mathematics and Mathematical Modelling in the Digital Era (ICDMMMDE-2023). The conference, organised at the Department of Mathematics, The Gandhigram Rural Institute in Gandhigram, Tamil Nadu, India, took place from 23-25 March 2023. Serving as a dynamic platform, the event attracted emerging researchers, mathematicians, industrialists, scientists, and engineers from across the globe, fostering discussions on pertinent research topics. This volume showcases noteworthy contributions from esteemed researchers within the realm of discrete mathematics and mathematical modeling, meticulously subjected to a rigorous peer-review process for publication. The included papers delve into diverse subjects, including controllability, image processing, topology, graph theory, fuzzy delay differential equations, analysis, queuing theory, and applications in networks and biology. Theculmination of these contributions forms a comprehensive and authoritative resource for scholars and professionals alike.

B. Ram Kumar, P. Balasubramaniam and Kurunathan Ratnavelu, The Approximate Controllability of the Second-Order Hilfer Fractional Integrodifferential Equations via Measure of Non-Compactness. - R. Vijay Aravind, P. Balasubramaniam and Mahyar Mahinzaeim, Fuzzy Fault Tolerant Controller Design for Switched Nonlinear Systems via Mode-Dependent Average Dwell Time Scheme. - K. Ezhilarasan, S. Praveenkumar, K. Somasundaram, T. Kalaiselvi, S. Kiruthika and A. Jeevarekha, A Novel Distance Transform for Brain Extraction From T1 Weighted MRI of Human Head Scans. - R. Uthayakumar and J. Grace Margrate Mary, Some Fixed-Point Theorems in Asymmetric Strong B-Metric Space. - L. Praveenkumar, G. Mahadevan, C. Sivagnanam and Sanjay K. Tyagi, Explicating the Exact CD Value for the Tensor Product of Graphs. - V. P. Ananthi and Vetri Kandasamy, Automated Edge Detection Technique using Fractional Mask in Fuzzy Domain. - K. Priya, G. Mahadevan, C. Sivagnanam and Sanjay Kumar Tyagi, CTATD Number for Power Graph of Some Special Graphs and Tadpole Graph. - W. Evangeline Lydia and J. Vijaya Xavier Parthipan, Restrained Star Edge Coloring of Cartesian Product of Some Graphs. - G. B. Priyanka, J. Catherine Grace John and P. Xavier, Divisor 2-Equitable Dominatio in Fuzzy Graphs. - C. K. Akhil and Suresh G. Singh, Graph Theoretical Analysis of Endomorphin. - Ch. Subba Reddy, T. L. Yookesh, Renuka Kolandasamy and K. S. Keerthika, An Analysis of the Convergence of Numerical Method for Solving the Fuzzy Delay Differential Equation. - X. M. Jeffin Varunnya and P. Gnanachandra, Invariant Points For Kannan Contraction and Reich Type Contraction in Strong Altering JS-Metric. - S. Nivetha Therasal and M. Thiagarajan, Poisson Input and Exponential Service Time Finite Population Interdependent Queueing Model Having Parallel Servers with Breakdown and Controllable Arrival Rates. - K. H. Rahim and M. Thiagarajan, M/M (a, b) /1/K/N Controlled Arrival Rate and Interdependent Queueing Model. - D. Jeba Ebenezer and J. Vijaya Xavier Parthipan, Secure Detour Domination. - S. Sharmila Banu and A. Prasanna, Solving Fuzzy Congruence Modulo Transportation Problem using Bipartite Graph with Optimal Solution. - S. Priya and B. Ganga, Slip Effects on MHD Boundary Layer Flow Over a Poignant Tinny Needle with Thermal Radiation and Viscous Dissipation. - R. Karthika and N. Mohanapriya, Dissimilarity between Dominator and Total Dominator Coloring of Certain Graphs.