Proceedings of the Ninth International Conference on Mathematics and Computing: ICMC 2023 (Lecture Notes in Networks and Systems)

Committee
Message from General Chairs
Message from Program Chairs
Preface
Contents
About the Editors
Verifiable Delay Function Based on Non-linear Hybrid Cellular Automata
	1 Introduction
		1.1 Our Contributions
		1.2 Organization of the Paper
	2 Related Work
		2.1 Review of Verifiable Delay Functions
		2.2 Cryptography Based on Non-linear CA
	3 Preliminaries
		3.1 Notation
		3.2 Verifiable Delay Function
		3.3 Cellular Automata
	4 VDF Based on Cellular Automata
		4.1 The Setup(1λ,T) Algorithm
		4.2 The Eval(pp,x) Algorithm
		4.3 The Verify(pp,x,s(τ)) Algorithm
	5 Security of the Proposed VDF
		5.1 Correctness
		5.2 Soundness
		5.3 Sequentiality
	6 Performance Analysis
	7 Conclusion and Open Problems
	References
Security Analysis of WG-7 Lightweight Stream Cipher Against Cube Attack
	1 Introduction
	2 Preliminaries
		2.1 Cube Attack
		2.2 MILP-Aided Bit-Based Division Property
	3 The WG-7 Stream Cipher
	4 Cube Attack on WG-7
		4.1 Model the Initialization Phase of WG-7 Using MILP
		4.2 Evaluate Secret Variables Involved in the Superpoly
		4.3 Key Recovery for 20-Round Initialization Phase
	5 Conclusion
	References
MILP Modeling of S-box: Divide and Merge Approach
	1 Introduction
	2 MILP Modeling of S-boxes
		2.1 Generating Linear Inequalities of DDT
		2.2 Inequality Minimization Using Impossible Transitions
		2.3 Existing Improvements in Inequality Minimization
		2.4 Inequality Minimization: Divide and Merge Approach
	3 Experimental Results: 4-Bit and 5-Bit S-boxes
		3.1 Divide and Merge Approach: k=2
		3.2 Divide and Merge Approach: k=3
	4 Conclusion
	References
A Relation Between Properties of S-box and Linear Inequalities of DDT
	1 Introduction
	2 Non-linear S-boxes
		2.1 Properties of S-box
	3 Methods for Construction and Minimization of Linear Inequalities of DDT
		3.1 H-representation of Convex Hull
		3.2 Boolean Logic Minimization Tools—Logic Friday, MILES
		3.3 Limitation of Convex Hull Approach and Logic Friday Tool
	4 Results
		4.1 Experiments
		4.2 Relation Between Boomerang Uniformity and Number of Linear Inequalities
	5 Conclusion
	References
Damage Level Estimation of Rubble-Mound Breakwaters Using Deep Artificial Neural Network
	1 Introduction
	2 Deep Artificial Neural Network
	3 Dataset
	4 Development of the Deep ANN-Based Damage Level Estimation Model
	5 Results and Discussion
		5.1 Performance Analysis and Model Accuracy
		5.2 Comparison of the Proposed Deep ANN Model with the Existing ANN-Based Damage Level Estimation Model
	6 Conclusion
	References
Facial Image Manipulation Detection Using Cellular Automata and Transfer Learning
	1 Introduction
	2 Digital Image Manipulation Detection
	3 Results
		3.1 Experimental Data
		3.2 Application Previews
		3.3 Performance Metrics of the Proposed Solution
		3.4 Comparison with Other Works
	4 Conclusion
	References
Language-Independent Fake News Detection over Social Media Networks Using the Centrality-Aware Graph Convolution Network
	1 Introduction
	2 Related Work
	3 Proposed Model
		3.1 User Profile Features
		3.2 Network Structure and Temporal Features
		3.3 Centrality
	4 Experimental Setup
	5 Datasets
		5.1 Result and Discussion
	6 Conclusion
	References
Private Blockchain-Enabled Security Framework for IoT-Based Healthcare System
	1 Introduction
		1.1 System Models
		1.2 Research Contributions
		1.3 Paper Outline
	2 Related Work
	3 Proposed Security Framework
		3.1 System Initialization Phase
		3.2 Registration Phase
		3.3 Access Control and Key Agreement Phase
		3.4 User Password Change Phase
	4 Blockchain Implementation Phase
		4.1 Block Creation
		4.2 Block Addition and Consensus in Blockchain
	5 Security Analysis
	6 Comparative Analysis
	7 Blockchain Simulation Study
	8 Conclusion
	References
GradeChain-α: A Hyperledger Fabric Blockchain-Based Students\' Grading System for Educational Institute
	1 Introduction
	2 Literature Review
	3 Backgrounds
		3.1 Blockchain Model
		3.2 Hyperledger Fabric (HLF)
	4 The Proposed GradeChain-α
		4.1 Network Structure of GradeChain-α
		4.2 Transaction Flow of GradeChain-α
		4.3 Functionalities
	5 Implementation and Result
		5.1 Experimental Setup
		5.2 Initialization
		5.3 Docker Container
		5.4 Performance Analysis
	6 Conclusion
	References
Object-Background Partitioning  on Images: A Ratio-Based Division
	1 Introduction
	2 Literature Review, Scope, and Contributions
	3 Proposed Algorithm
	4 Experimental Results and Analysis
	5 Conclusions and Scope of Future Works
	References
More on Semipositive Tensor and Tensor Complementarity Problem
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Conclusion
	References
An Improved Numerical Scheme  for Semilinear Singularly Perturbed Parabolic Delay Differential Equations
	1 Introduction
	2 Description of the Problem
		2.1 Asymptotic Behavior of the Exact Solution
		2.2 Quasilinearization
		2.3 Decomposition of the Solution
	3 Numerical Approximation
		3.1 Temporal Semi-discretization
		3.2 Spatial Discretization
		3.3 Finite Difference Scheme
	4 Numerical Outputs
	5 Conclusion
	References
Computational Modeling of Noisy Plasma Images Applicable to Tokamak Imaging Diagnostics for Visible and X-ray Emissions
	1 Introduction
	2 Experimental Setup
	3 Mathematical Model
		3.1 Plasma Emissions
		3.2 Viewing Geometry
		3.3 Emission Integration
		3.4 Fiber Bundle Effect
		3.5 Noise
	4 Computational Implementation
	5 Results and Discussion
	6 Conclusions
	References
On Partial Monotonicity of Some Extropy Measures
	1 Introduction
	2 Monotonicity of Conditional Extropy
	3 Convolution of General Weighted Extropy
	4 Conclusion
	References
Error Bound for the Linear Complementarity Problem Using Plus Function
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Numerical Example
	5 Conclusion
	References
On the Solutions of the Diophantine Equation ua + vb=z2 for Some Prime Pairs u and v
	1 Introduction
		1.1 Preliminaries
	2 Main Results
		2.1 When u=2
		2.2 Solutions of ua + vb = z2 for (u, v)=(u, 4u+1)
		2.3 Solutions of ua + vb = z2 for (u, v)=(u, 4u+3)
		2.4 Solutions of ua + vb = z2 for (u, v)=(u, 8u+k)
	References
A Second-Order Optimal Hybrid Scheme for Singularly Perturbed Semilinear Parabolic Problems with Interior Layers
	1 Introduction
	2 Numerical Approximation
		2.1 Newton\'s Linearization Technique
		2.2 Discretization of the Domains
		2.3 Finite Difference Scheme
		2.4 Temporal Richardson Extrapolation
	3 Numerical Outputs
	4 Conclusion
	References
Temperature Distribution During Hyperthermia Using a 2D Space-Time Fractional Bioheat Model in Irregular Domain
	1 Introduction
	2 Preliminaries
	3 Mathematical Model
		3.1 Domain
		3.2 Governing Equation
		3.3 Initial and Boundary Conditions
		3.4 Non-dimensionlization
	4 Numerical Scheme
	5 Results and Discussions
		5.1 Verification
		5.2 Effect of Fractional Orders
		5.3 Effect of Heat Source Parameter
		5.4 Effect of Blood Perfusion
	6 Conclusion
	References
Characterization of Minimum Structure and Sub-structure Cut of Exchanged Hypercube
	1 Introduction
	2 Preliminaries
	3 Structure and Sub-structure Connectivity of EHs,t
		3.1 κ(EHs,t; K1,1) and κs(EHs,t; K1,1)
		3.2 κ(EHs,t; K1,2) and κs(EHs,t; K1,2)
		3.3 κ(EHs,t; C4)
	4 Conclusion
	References
Improved Lower Bound for L(1,2)-Edge-Labeling of Infinite 8-Regular Grid
	1 Introduction
	2 Results
	3 Conclusion
	References
Classification of Texts with Emojis to Classify Sentiments, Moods, and Emotions
	1 Introduction
	2 Related Work
	3 Proposed Methodology
		3.1 Dataset
		3.2 Preprocessing
		3.3 Proposed Machine Learning-Based Approaches
		3.4 Deep Learning Approach (BiLSTM-Based)
		3.5 Image (Emoji) Classification Approach
	4 Experimental Results
	5 Conclusions and Future Work
	References
A Study on Fractional SIS Epidemic Model Using RPS Method
	1 Introduction
	2 Preliminaries
	3 Convergence of RPS Method
	4 Fractional SIS Epidemic Model
	5 Non-dimensional Fractional SIS Epidemic Model
	6 Stability Analysis of the Non-dimensional Fractional SIS Epidemic Model
	7 Existence of the Uniformly Solution of the Non-dimensional Fractional SIS Epidemic Model
	8 Solution of the Non-dimensional Fractional SIS Epidemic Model Using RPS Method
	9 Numerical Scheme and Its Solution
		9.1 Numerical Scheme
		9.2 Using the RPS Method for Solving the Non-dimensional SIS Epidemic Model of Fractional-Order β
	10 Numerical Results and Discussion
	11 Conclusion
	References
On Zero-Sum Two Person Perfect Information Semi-Markov Games
	1 Introduction
	2 Preliminaries
		2.1 Finite Zero-Sum Two-Person Semi-Markov Games
		2.2 Zero-Sum Two-Person Semi-Markov Games Under Limiting Ratio Average (Undiscounted) Payoff
	3 Results
	4 Calculating the Cesaro Limiting Matrix of a Transition Matrix
	5 An Example
	6 Conclusion
	References
Interval Estimation for Quantiles of Several Normal Populations with a Common Standard Deviation
	1 Introduction
	2 Asymptotic Confidence Interval for Quantile
	3 Confidence Interval Using Method of Variance Estimate Recovery (MOVER)
	4 Confidence Intervals Using Bootstrap Sampling
		4.1 Boot-p Method
		4.2 Boot-t Method
	5 Bayesian Interval Estimation
	6 Generalized Variable Approach
	7 Computational Results
	8 Applications
	9 Concluding Remarks
	References
Approximate Solutions to Delay Diffusion Equations with Integral Forcing Function
	1 Introduction
	2 Assumptions and Abstract Formulation
	3 Discretization and a Priori Estimates
	4 Main Result
	5 Application
	6 Conclusion
	References
On m-Bonacci Intersection-Sum Graphs
	1 Introduction
	2 Preliminaries
	3 m-Bonacci Intersection-Sum Graph
	4 Properties of m-Bonacci Intersection-Sum Graph
	5 Extension of Barwell\'s Problem
	6 Conclusion
	References
Three-Time Levels Compact Scheme for Pricing European Options Under Regime Switching Jump-Diffusion Models
	1 Introduction
	2 The Model Problem
		2.1 Localization to Bounded Domain
	3 The Fully Discrete Problem
	4 Numerical Results
	5 Conclusion
	References
The Sum of Lorentz Matrices in M2(mathbbZn)
	1 Introduction
	2 Preliminaries
	3 Main Results
	References
A Robust Analytic Approach to Solve Non-linear Fractional Partial Differential Equations Using Fractional Complex Transform
	1 Introduction
	2 Preliminaries
	3 Brief Idea of Homotopy Analysis Fractional Complex Transform Method (HAFCTM)
	4 Numerical Application
	5 Results and Discussion
	6 Conclusion
	References
Relations Between Discrete Maximal Operators in Harmonic Analysis
	1 Introduction
	2 Preliminaries and Notation
	3 Definitions
		3.1 Maximal Operators
	4 Relation Between Maximal Operators
	References
Multivariate Bernstein α-Fractal Functions
	1 Introduction
	2 Background and Preliminaries
		2.1 Univariate Fractal Interpolation Function
		2.2 Multivariate Fractal Interpolation
		2.3 Multivariate α-Fractal Function
	3 Multivariate Bernstein α-Fractal Function
	4 Positive Approximation with Multivariate Bernstein α-Fractal Functions
	5 Conclusions
	References
Appendix  Author Index
Author Index