Mathematics and Computing: ICMC 2022, Vellore, India, January 6–8

Contents
Computer Science
Color Multiscale Block-ZigZag LBP (CMB-ZZLBP): An Efficient and Discriminant Face Descriptor
	1 Introduction
	2 Related Works
	3 Description of Descriptors
		3.1 Multiscale Block-ZigZag LBP (MB-ZZLBP)
		3.2 Color MB-ZZLBP (CMB-ZZLBP)
	4 Experiments
		4.1 Dataset Information
		4.2 Feature Size Essentials with Respect to Evaluated Descriptors
		4.3 Accuracy Analysis on Different Subsets
		4.4 Accuracy Comparison with Literature Techniques
	5 Conclusion and Future Prospect
	References
Effect of Noise in the Quantum Network Implementation of Cop and Robber Game
	1 Introduction
	2 Quantum Version of Cop and Robber Game
	3 Noise Models
		3.1 Amplitude Damping (AD) Noise Model
		3.2 Phase Damping (PD) Noise Model
	4 Calculation and Analysis of Fidelity
		4.1 Effect of Amplitude Damping (AD)
		4.2 Effect of Phase Damping (PD)
	5 Conclusion
	References
Study of Decoherence in Quantum Cournot Duopoly Game Using Modified EWL Scheme
	1 Introduction
	2 Quantum Cournot Duopoly Game with Decoherence
		2.1 Decoherence in Channel 1
		2.2 Decoherence in Channel 2
	3 Conclusion
	References
A New Aggregation Operator for Single-Valued Triangular Neutrosophic Number in Decision-Making
	1 Introduction
	2 Preliminaries
	3 SVTrN Generalized Ordered Weighted Harmonic Averaging Operator
	4  MADM Problems with Neutrosophic Numbers
		4.1 Numerical Example
	5 Conclusion
	References
Redundancy of Codes with Graph Constraints
	1 Introduction
	2 Linear Parity Check Codes with Graph Constraints
	3 Fractional Graph Capacity
	References
Tree Parity Machine-Based Symmetric Encryption: A Hybrid Approach
	1 Introduction
		1.1 Related Works
	2 A Hybrid Method for Symmetric Encryption
		2.1 Key Generation
	3 Results, Training Time and Encryption Time
	4 Security Analysis
		4.1 NIST Statistical Test Results
		4.2 Security Against Chosen Plaintext Attacks
		4.3 Other Attacks
	5 Comparison with Existing Works
	6 Conclusion and Future Work
	References
Metadata Analysis of Web Images for Source Authentication in Online Social Media
	1 Introduction
		1.1 State of the Art
	2 Image Metadata
		2.1 EXIF Metadata
		2.2 IPTC Metadata
		2.3 XMP Metadata
	3 Experimental Validation
		3.1 Date and Time
		3.2 Copyright
		3.3 GPS Coordinate
		3.4 Contact Details
	4 Proposed Solution
		4.1 Watermark Insertion
		4.2 Watermark Extraction
	5 Result and Discussion
		5.1 Limitation
	6 Conclusion
	References
A Computational Diffie–Hellman-Based Insider Secure Signcryption with Non-interactive Non-repudiation
	1 Introduction
	2 Preliminaries
		2.1 Insider Security for SCNINR
	3 The New Construction
	4 Security of the mathcalSCedl Scheme
		4.1 On the Concrete Choice of the Set of Domain Parameters
	5 Comparison with Other Schemes
	References
kNN-SVM with Deep Features for COVID-19 Pneumonia Detection from Chest X-ray
	1 Introduction
	2 Deep Learning for CXR-Based Covid Detection
	3 Proposed Methodology for COVID-Induced Pneumonia Detection from Chest X-ray
		3.1 Deep Feature Extraction Using VGG16
		3.2 Dimensionality Reduction Using Autoencoders
		3.3 Incorporating Clustering Information into Classification Tasks
		3.4 kNN-Regularized Support Vector Machine (kNN-SVM)
	4 Experimental Results and Discussions
		4.1 Dataset Description
		4.2 Comparison of Different Algorithms
	5 Conclusion and Future Works
	References
Quantum Simulation of Perfect State Transfer on Weighted Cubelike Graphs
	1 Introduction
	2 Preliminaries
		2.1 Continuous-Time Quantum Walk
		2.2 Decomposition of the Adjacency Matrix of Weighted Cubelike Graph
		2.3 PST or Periodicity in Weighted Cubelike Graphs
	3 The Quantum Simulation
		3.1 Quantum Circuits
		3.2 Results
	4 Conclusion and Future Work
	References
Quadratically Sound Proof-of-Sequential-Work
	1 Introduction
		1.1 Our Techniques
		1.2 Organization of the Paper
	2 Preliminaries
		2.1 Proof of Sequential Work
		2.2 Cellular Automata
	3 PoSW Based on Cellular Automata
		3.1 The Gen(1n,N) Algorithm
		3.2 The SolveH (pp,x) Algorithm
		3.3 The OpenH (pp,x,φmathcalP,γ)
		3.4 The VerifyH (pp,x,γ,π,φ) Algorithm
		3.5 Efficiency
	4 Security of the Proposed PoSW
		4.1 Correctness
		4.2 Soundness
	5 Conclusion and Open Problem
	References
On Some Properties of K-type Block Matrices in the Context of Complementarity Problem
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Conclusion
	References
Families of Mordell Curves with Non-trivial Torsion and Rank of at Least Three
	1 Introduction
	2 A Parametrized Family of Mordell Curves
	3 Another Parametrized Family of Mordell Curves
	References
Applied Algebra and Analysis
On the Genus of the Annihilator-Ideal Graph of Commutative Ring
	1 Introduction
	2 Some Well-Known Graph of AI(R)
	3 Genus of AI(R)
	References
The Radio k-chromatic Number for the Corona of Arbitrary Graph and K1
	1 Introduction
	2 Results
	3 Conclusion
	References
Some Parameters of Restricted Super Line Graphs
	1 Introduction
	2 Results on RLr(G)
		2.1 Completeness of RLr(G)
	3 Results on RL2(G)
	References
Edge Constrained Eulerian Extensions
	1 Introduction
	2 Edge Constrained Eulerian Extensions
	References
Bounds of Some Energy-Like Invariants of Neighbourhood Corona of Graphs
	1 Introduction
	2 Preliminaries
	3 Bounds for the Laplacian-Energy-Like of Neighbourhood Corona
	4 Bounds for the Incidence Energy of Neighbourhood Corona
	5 Conclusions
	References
Linear Recurrent Fractal Interpolation Function for Data Set with Gaussian Noise
	1 Introduction
	2 Preliminaries
		2.1 Basics of RIFS
		2.2 Construction of RFIF
	3 RFIF for Gaussian Noisy Data
		3.1 Explicit Expression of the RFIF
		3.2 Distribution of RFIF
	4 Simulation
	5 Conclusion
	References
C1-Rational Quadratic Trigonometric Spline Fractal Interpolation Functions
	1 Introduction
	2 Preliminaries and Construction of RQTS FIFs
	3 Convergence Analysis
	4 Positivity-Preserving RQTS FIF
	5 Monotonicity Preserving RQTS FIF
	6 Conclusion
	References
Cyclic Multivalued Iterated Function Systems
	1 Introduction
	2 Preliminary Facts
		2.1 Hausdorff Metric
		2.2 Iterated Function Systems
		2.3 Multivalued Maps
	3 Cyclic Contractions and It's Fixed Point Principles
	4 Cyclic Multivalued Iterated Function Systems
	References
On Almost Statistical Convergence of Weight r
	1 Introduction
	2 Main Results
	References
Non-neighbor Topological Indices on Covid-19 Drugs with QSPR Analysis
	1 Introduction
	2 Methodology and New Results
		2.1 Computation of NN-polynomial and Topological Indices of Nitazoxanide
		2.2 Computation of NN-polynomial and Topological Indices of Imatinib
		2.3 Computation of NN-polynomial and Topological Indices of Famotidine
		2.4 Computation of NN-polynomial and Topological Indices of Galidesivir
		2.5 Computation of NN-polynomial and Topological Indices of Artesunate
	3 Non-neighbor Topological Indices in QSPR Studies
	4 Conclusion
	5 Data and Software Availability
	References
Some Results on Differential Polynomials of Meromorphic Functions Sharing Certain Values
	1 Preliminaries
	2 Lemmas
	3 Proof of Theorems
	References
A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions of Complex Order Associated with Linear Operator
	1 Introduction and Definitions
	2 Coefficient Bounds
	3 Corollaries and Concluding Remarks
	References
Bi-Starlike Function of Complex Order Involving Double Zeta Functions in Shell Shaped Region
	1 Introduction and Definitions
	2 Coefficient Estimates for finmathfrakSδ,κΣ,(, λ) and finmathfrakKδ,κΣ,(, λ)
	3 Fekete–Szegö Inequality for finmathfrakSδ,κΣ,(, λ)
	4 Concluding Remarks
	References
Fuzzy Rule-Based Expert System for Multi Assets Portfolio Optimization
	1 Introduction
	2 Numerical Method
		2.1 Lagrange’s Multiplier Method
	3 Problem Formulation
	4 Fuzzy Rule-Based Model
		4.1 Rule Base for Fuzzy Rule-Based Expert System
		4.2 Inferencing
		4.3 Defuzzification
		4.4 Testing Data Set
	5 Results
	6 Conclusions
	References
Stability Analysis of Additive Time-Varying T–S Fuzzy System Using Augmented Lyapunov Functional
	1 Introduction
	2 Problem Formulations
		2.1 Preliminaries
	3 Main Results
	4 Numerical Examples
	5 Conclusion
	References
Fractional Calculus and Integral Equations
Solution of Fractional Differential Equations by Using Conformable Fractional Differential Transform Method with Adomian Polynomials
	1 Introduction and Preliminaries
	2 Modified Conformable Fractional Differential Transform Method (CFDTM)
	3 Applications of CFDTM
	4 Conclusion
	References
Generalized Results on Existence & Uniqueness with Wronskian and Abel Formula for α-Fractional Differential Equations
	1 Introduction and Preliminaries
	2  α-Fractional Derivative
	3 Existence and Uniqueness Theorems
	4 Abel's Formula
	5 Applications
	6 Conclusion
	References
Method of Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional-Order Differential Equations
	1 Introduction
	2 Methodology
	3 Example 01: MDDiM Solutions for Fractional Riccati Differential Equation
		3.1 Results and Discussion
	4 Example 02: MDDiM Solutions for Abel Differential Equation
		4.1 Results and Discussion
	5 Example 03: MDDiM Solutions for Time-Fractional Rosenau-Hyman Equation
		5.1 Results and Discussion
	6 Conclusions
	References
Existence Results for Nonlocal Impulsive Fractional Neutral Functional Integro Differential Equations with Bounded Delay
	1 Introduction
	2 Preliminaries
	3 Existence Theorem
	4 Conclusion
	References
An Application of Conformable Fractional Differential Transform Method for Smoking Epidemic Model
	1 Introduction
	2 Conformable Fractional Differential Transform Method
	3 Conformable Fractional Tobacco Smoking Model Mathematical Modelling
		3.1 Application of Conformable Fractional Differential Transform Method
	4 Result and Discussion
	5 Conclusion
	References
Solvability of Infinite System of Volterra Integral Equations in the Tempered Spaces
	1 Introduction
	2 Preliminaries and Definitions
	3 Hausdorff MNC in Tempered Space
	4 Solvability of the Infinite System of Volterra mathbbImathbbE in the ellpβ Space
	5 Conclusions
	References
On Generalizations of Integral Inequalities and Its Applications
	1 Introduction
	2 Main Results
	3 Discrete Analogues
	4 Applications
	References
Mathematical Modelling and Fluid Dynamics
Solving Multi-objective Chance Constraint Quadratic Fractional Programming Problem
	1 Introduction
	2 Literature Review
	3 Mathematical Model of MOCC Quadratic Fractional
	4 Deterministic Model
	5 Solution Procedure
	6 Numerical Example
	7 Conclusion
	References
Higher Order Variational Symmetric Duality Over Cone Constraints
	1 Introduction
	2 Preliminaries
	3 Higher Order Variational Symmetric Dual Formulations
	4 Duality Results
	5 Static Symmetric Dual Program
	6 Conclusions
	References
On Generalized Energy Inequality of the Damped Navier–Stokes Equations with Navier Slip Boundary Conditions
	1 Introduction
	2 Assumptions and Preliminaries
	3 The Approximate Solutions
	4 Weak Solutions
	5 Proof of Theorem 1
	6 Energy Inequality
	7 Conclusion
	References
The Diathermic Oils Over a Thin Liquid Film with MOS2 Nano Particles: A Model with Analysis of Shape Factor Effects
	1 Literature Assessment
	2 Formulation
	3 Plan of Solution
	4 Discussion
	5 Conclusions
	References
Wave Energy Dissipation by Multiple Permeable Barriers in Finite Depth Water
	1 Introduction
	2 Mathematical Formulation
	3 Method of Solution
	4 Galerkin's Method
	5 Wave Energy Dissipation and Wave Force
	6 Results and Interpretations
	7 Conclusions
	References
Thermal Stress Analysis of Inhomogeneous Infinite Solid to 2D Elasticity of Thermoelastic Problems
	1 Introduction
	2 Problem Formulation
	3 Composition of Solution
	4 Numerical Examples
		4.1 Exact Solution
		4.2 Case of Young's Modulus
	5 Conclusions
	6 Appendix
	References
Study of Non-Newtonian Models for 1D Blood Flow Through a Stenosed Carotid Artery
	1 Introduction
	2 Mathematical Modelling of Blood Flow
	3 Comparison of Non-Newtonian Models
	4 Pulse Propagation in a Single Uniform Vessel
	5 HLL Scheme
	6 Stenosis Model
	7 Conclusion
	References
Two-Layered Flow of Ionized Gases Within a Channel of Parallel Permeable Plates Under an Applied Magnetic Field with the Hall Effect
	1 Introduction
	2 Formulation of the Problem
	3 Mathematical Study of the Problem
	4 Solution to the Problem
		4.1 Non-conducting Porous Plates
		4.2 Case of Conducting Porous Plates
	5 Results and Discussion
		5.1 Case of Non-conducting Porous Plates
		5.2 Conducting Porous Plates
	6 Conclusions
	References
Influence of Heat Transfer, Chemical Reaction and Variable Fluid Properties on Oscillatory MHD Couette Flow Through a Partially-Porous Channel
	1 Introduction
	2 Description of the Problem
	3 Numerical Solution Methodology
	4 Results and Discussion
	5 Conclusions
	References
Effect of Heat Transfer on Peristaltic Transport of Prandtl Fluid in an Inclined Porous Channel
	1 Introduction
	2 Mathematical Formulation
		2.1 Method of Solution
	3 Results and Discussion
		3.1 Numerical Comparison
	4 Conclusions
	Appendix
	References
A Multiscale Model of Stokes–Cahn–Hilliard Equations in a Porous Medium: Modeling, Analysis and Homogenization
	1 Introduction
		1.1 The Model
	2 Preliminaries and Notation
		2.1 Weak Formulation of (mathcalPε)
	3 Anticipated Upscaled Model via Asymptotic Expansion Method
	4 Proof of Theorem 2.1
		4.1 A Priori Estimates
	5 Proof of Theorem 2 (Homogenization of Problem (mathcalPε))
	6 Conclusion
	References
Sensitivity and Directional Analysis of Two Mutually Competing Plant Population Under Allelopathy Using DDE
	1 Introduction
	2 Mathematical Model
		2.1 Motivation of Work
	3 Sensitivity Analysis
	4 Stability and Direction of Hopf-Bifurcating Solution
	5 Numerical Example
	6 Conclusion
	References
Pore Scale Analysis and Homogenization of a Diffusion-Reaction-Dissolution-Precipitation Model
	1 Introduction
		1.1 The Model
	2 Proof of Theorem 1
		2.1 Existence and Uniqueness
		2.2 Rothe's Method
	3 Homogenization
	4 Conclusion
	References
Mathematical Modeling and Computing to Study the Influence of Quarantine Levels and Common Mitigation Strategies on the Spread of COVID-19 on a Higher Education Campus
	1 Introduction
	2 Models and Methods
	3 Mathematical Analysis of the Model
		3.1 Non-negativity of the Solution
		3.2 Boundedness of the Solution
		3.3 Derivation of the Basic Reproduction Number
	4 Computational Experiments
		4.1 Influence of the Parameters on mathcalR0
		4.2 Local and Global Sensitivity
		4.3 Dynamics of the State Variables
	5 Graphical User Interphase (GUI)
	6 Discussion and Conclusions
	References
Numerical Analysis
Numerical Solution of the Fredholm Integral Equations of the First Kind by Using Multi-projection Methods
	1 Introduction
	2 Legendre Spectral Multi-projection Methods
	3 Convergence Rates
	4 Arcangeli's Discrepancy Principle
	5 Numerical Examples
	References
Local Convergence of a Family of Kurchatov Like Methods for Nonlinear Equations
	1 Introduction
	2 Local Convergence Analysis
	3 Numerical Examples
	4 Conclusions and Future Scope
	References
An Effective Scheme for Solving a Class of Second-Order Two-Point Boundary Value Problems
	1 Introduction
	2 Review of Standard ADM
	3 Proposed Methodology
	4 Numerical Results
	5 Conclusion
	References
An Analytic Solution for the Helmholtz-Duffing Oscillator by Modified Mickens’ Extended Iteration Procedure
	1 Introduction
	2 The Methodology
	3 Solution Procedure
	4 Results and Discussions
	5 Conclusion
	References
Crank-Nicolson Finite Difference Scheme for Time-Space Fractional Diffusion Equation
	1 Introduction
	2 Finite Difference Scheme
	3 Stability
	4 Convergence
	5 Numerical Solutions
	References
Gauss-Newton-Secant Method for the Solution of Non-linear Least-Square Problems Using ω-Condition
	1 Introduction
	2 Conergence Analysis
	3 Numerical Examples
	4 Conclusion
	References