Mathematics and Computing

This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference on mathematics and computing organized at Haldia Institute of Technology, India. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computing are of vital importance to a broad range of communities, including mathematicians and computing professionals across different educational levels and disciplines.

In current research, modeling and simulation, making decisions under uncertainty and pattern recognition have become very common. Professionals across different educational levels and disciplines need exposure to advances in mathematics and computing. In this context, this book presents research papers on applicable areas of current interest. It also includes papers in which experts summarize research findings, such as signal processing and analysis and low-rank-matrix approximation for solving large systems, which will emerge as powerful tools for further research. These new advances and cutting-edge research in the fields of mathematics and their applications to computing are of paramount importance for young researchers.

Autorentext

RAM MOHAPATRA is professor of mathematics, University of Central Florida, Orlando, USA. He received his PhD degree from the University of Jabalpur, India, in 1968. Earlier, he taught at Sambalpur University in India, American University in Beirut, Lebanon, University of Alberta and York University, Canada, prior to coming to Orlando. His area of research is Mathematical Analysis and he is the author of two books, two edited monographs and over 120 research papers. He referees articles for professional journals and serves as a member of editorial board of a number of journals.

DIPANWITA ROY CHOWDHURY is professor at the Department of Computer Science and Engineering, Indian Institute of Technology (IIT) Kharagpur, India. She is also the chairman of Kalpana Chawla Space Technology Cell, IIT Kharagpur. Professor Roy Chowdhury is PhD from IIT Kharagpur and M.Tech. in Computer Science from the University of Calcutta. Her topics of research interest are cryptography, error-correcting code and cellular automata. She has published more than 150 research papers in several international journals and conference proceedings. Professor Roy Chowdhury is the recipient of INSA Young Scientist Award and associate of Indian Academy of Science. She is a fellow of Indian National Academy of Engineers (INAE).

DEBASIS GIRI is professor at the Department of Computer Science and Engineering, Haldia Institute of Technology, India. His topics of interest are discrete mathematics, cryptography, information security, coding theory, advanced algorithms, design and analysis of algorithms and formal languages and automata theory. His research interests include cryptography, network security, security in wireless sensor networks and security in VANETs. Dr. Giri had delivered several talks and guest lectures at various universities and conferences. He is supervisor of three PhD research scholars, as well as he has guided many B.Tech. and M.Tech. students. He is associate editor of the Journal of Security and Communication Networks (Wiley) and the Journal of Electrical and Computer Engineering Innovations. Further, he is editorial board member and reviewer of many reputed international journals. He is also program committee member of many international conferences. He is life member of Cryptology Research Society of India. He received his PhD on Cryptanalysis and improvement of protocols for digital signature, smartcard authentication and access control from Indian Institute of Technology (IIT) Kharagpur. He did both his M.Tech. and M.Sc. from IIT Kharagpur. He secured 10th position in all India rank with percentile score 98.42 in the Graduate Aptitude Test in Engineering (GATE) examination in 1999. Dr. Giri has published more than 30 technical papers in several international journals and proceedings.

Inhalt

Chapter 1. Integral Representations Related to Complex Partial Differential Operators.- Chapter 2. Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems.- Chapter 3. A Study of Generalized Invex Functions on
Riemannian Manifold.- Chapter 4. Second order symmetric duality and variational problems.- Chapter 5. Efficient portfolio for interval Sharpe ratio model.- Chapter 6. On solvability for certain functional equations arising in dynamic programming.- Chapter 7. CASca: A CA Based Scalable Stream Cipher.- Chapter 8. Improved Cryptographic Puzzle Based on Modular Exponentiation.- Chapter 9. Computationally Secure Robust Multi-Secret Sharing for General Access Structure.- Chapter 10. Key-Chain-Based Key Pre-Distribution Protocols for Securing Wireless Sensor Networks.- Chapter 11. IMS mining: a tool for imaging mass spectrometry data biomarker selection and classification.- Chapter 12. Pal Interpolation of Integral Types.- Chapter 13. Positivity Preserving Rational Cubic Trigonometric Fractal Interpolation Functions.- Chapter 14. A Monotonic Rational Fractal Interpolation Surface and Its Analytical Properties.- Chapter 15. Towards a unified methodology for fractal extension of various shape preserving spline interpolants.- Chapter 16. Unistochastic Matrices and Related Problems.- Chapter 17. Film Story Structure and Shot Type Analysis using One-way ANOVA, Kruskal-Wallis Test, and Poisson Distribution Test.- Chapter 18. Characterization of total very excellent Trees.- Chapter 19. Quadratic Residue Cayley Graphs on Composite Modulus.- Chapter 20. A dynamic programming algorithm for solving bi-objective fuzzy knapsack problem.- Chapter 21. A fuzzy random periodic review inventory model involving controllable back-order rate and variable lead-time.- Chapter 22.Supplier Selection using Fuzzy Risk Analysis.- Chapter 23. The control for prey-predator system with time delay and refuge.- Chapter 24. Evaluation of Solving Time for Multivariate Quadratic Equation System using XL Algorithm over Small Finite Fields on GPU.- Chapter 25. Towards a unified methodology for fractal extension of various shape preserving spline interpolants.- Chapter 26. Covering Arrays of Strength Four and Software Testing.- Chapter 27. Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer.- Chapter 28. Effect of variable bottom topography on water wave incident on a finite dock.- Chapter 29. Electrokinetic effects on solute mixing near a conducting obstacle within a micro channel.- Chapter 30. Distribution of Primitive Polynomials over GF (2) with Respect to their Weights.- Chapter 31. Medial Left Bipotent Seminear-rings.- Chapter 32. Sub central Automorphisms.- Chapter 33. On Symmetric Laplace integral of order n.- Chapter 34. A Sequence Space and Uniform (A, f)- Statistical Convergence.