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Mathematics, Volume 12, Issue 3

2024 February-1 - 143 articles

Cover Story: The main purpose of this paper is to study unicyclic graphs that minimize the Graovac–Ghorbani index, a topological descriptor that has predictive potential compared to analogous descriptors and is used to model both the boiling point and melting point of molecules. The problem of maximizing the Graovac–Ghorbani index of unicyclic graphs was solved in 2013, while the minimization problem is currently still unsolved. This research shows that cycles are the unicyclic graphs with even girth that minimize Graovac–Ghorbani index. In the case of odd girth, partial results were given, pointing to cycles as well. As an auxiliary result, Graovac–Ghorbani indices of paths and cycles with an odd number of vertices were compared. View this paper
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Articles (143)

  • Article
  • Open Access
9 Citations
4,259 Views
20 Pages

Using Simulated Annealing to Solve the Multi-Depot Waste Collection Vehicle Routing Problem with Time Window and Self-Delivery Option

  • Vincent F. Yu,
  • Panca Jodiawan,
  • Shih-Wei Lin,
  • Winy Fara Nadira and ,
  • Anna Maria Sri Asih and
  • Le Nguyen Hoang Vinh
  • + 1 author+ 0 author

5 February 2024

This research introduces the Multi-Depot Waste Collection Vehicle Routing Problem with Time Windows and Self-Delivery Option (MDWCVRPTW-SDO). The problem comes from the waste bank operation implemented in Yogyakarta City, Indonesia. A set of vehicles...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
1,542 Views
18 Pages

5 February 2024

In this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space. The results obtained in this res...

(This article belongs to the Special Issue Recent Trends in Convex Analysis and Mathematical Inequalities)
  • Article
  • Open Access
3 Citations
2,013 Views
16 Pages

A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam

  • José J. Padilla,
  • Francisco I. Chicharro,
  • Alicia Cordero,
  • Alejandro M. Hernández-Díaz and
  • Juan R. Torregrosa

5 February 2024

In this paper, we present a three-step sixth-order class of iterative schemes to estimate the solutions of a nonlinear system of equations. This procedure is designed by means of a weight function technique. We apply this procedure for predicting the...

(This article belongs to the Special Issue Numerical Analysis and Modeling)
  • Article
  • Open Access
2,389 Views
20 Pages

Analysis of Fuzzy Vector Spaces as an Algebraic Framework for Flag Codes

  • Carlos Bejines,
  • Manuel Ojeda-Hernández and
  • Domingo López-Rodríguez

5 February 2024

Flag codes are a recent network coding strategy based on linear algebra. Fuzzy vector subspaces extend the notions of classical linear algebra. They can be seen as abstractions of flags to the point that several fuzzy vector subspaces can be identifi...

(This article belongs to the Special Issue Fuzzy Convex Structures and Some Related Topics)
  • Article
  • Open Access
10 Citations
7,086 Views
19 Pages

5 February 2024

This study adopts a data-driven methodology to address the challenge of garment fitting for individuals with diverse body shapes. Focusing on young Chinese women aged 18–25 from Central China, we utilized the German VITUS SMART LC3 3D body scan...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
3 Citations
2,135 Views
22 Pages

5 February 2024

Mobile Edge Computing (MEC) is a new distributed computing method based on the mobile communication network. It can provide cloud services and an IT service environment for application developers and service providers at the edge of the network. Comp...

  • Article
  • Open Access
3 Citations
1,793 Views
20 Pages

A Comprehensive Analysis of MSE in Estimating Conditional Hazard Functions: A Local Linear, Single Index Approach for MAR Scenarios

  • Abderrahmane Belguerna,
  • Hamza Daoudi,
  • Khadidja Abdelhak,
  • Boubaker Mechab and ,
  • Zouaoui Chikr Elmezouar and
  • Fatimah Alshahrani
  • + 1 author+ 0 author

4 February 2024

In unveiling the non-parametric estimation of the conditional hazard function through the local linear method, our study yields key insights into the method’s behavior. We present rigorous analyses demonstrating the mean square convergence of t...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
2,081 Views
20 Pages

4 February 2024

Due to the non-linear and non-stationary nature of daily new 2019 coronavirus disease (COVID-19) case time series, existing prediction methods struggle to accurately forecast the number of daily new cases. To address this problem, a hybrid prediction...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,701 Views
20 Pages

4 February 2024

Over the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their...

(This article belongs to the Special Issue New Trends in Mathematical Modeling, Analysis and Optimization for Engineering and Mechanics)
  • Article
  • Open Access
4 Citations
2,154 Views
14 Pages

4 February 2024

The utilization of seismic barriers for protection against the hazardous impact of natural or technogenic waves is an extremely promising emerging technology to secure buildings, structures and entire areas against earthquake-generated seismic waves,...

(This article belongs to the Special Issue Multiscale Mathematical Modeling)
  • Article
  • Open Access
5 Citations
2,624 Views
19 Pages

3 February 2024

The linkable ring signature supporting stealth addresses (SALRS) is a recently proposed cryptographic primitive, which is designed to comprehensively address the soundness and privacy requirements associated with concealing the identities of both the...

(This article belongs to the Special Issue New Advances in Cryptographic Theory and Application)
  • Article
  • Open Access
4 Citations
11,183 Views
20 Pages

Predictability of Magnetic Field Reversals

  • Daniil Tolmachev,
  • Roman Chertovskih,
  • Simon Ranjith Jeyabalan and
  • Vladislav Zheligovsky

3 February 2024

Geomagnetic field measurements indicate that at present we may be on the brink of the Earth’s magnetic field reversal, potentially resulting in all the accompanying negative consequences for the mankind. Mathematical modelling is necessary in o...

(This article belongs to the Special Issue Applications of Mathematics to Fluid Dynamics)
  • Article
  • Open Access
6 Citations
2,754 Views
27 Pages

3 February 2024

In a public health emergency, residents urgently require a large number of rescue materials for treatment or protection. These rescue materials are usually located far from the emergency area. The government must organize rescue materials transportat...

  • Article
  • Open Access
1 Citations
2,042 Views
12 Pages

2 February 2024

The prediction of future disease development based on past diagnosis records has gained significant attention due to the growing health awareness among individuals. Recent deep learning-based methods have successfully predicted disease development by...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
8 Citations
1,839 Views
13 Pages

2 February 2024

We study the solvability of the Ionkin problem for some differential equations with one space variable. These equations include parabolic and quasiparabolic, hyperbolic and quasihyperbolic, pseudoparabolic and pseudohyperbolic, elliptic and quasielli...

(This article belongs to the Special Issue Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators)
  • Feature Paper
  • Article
  • Open Access
2,536 Views
16 Pages

Rational Involutions and an Application to Planar Systems of ODE

  • Ivan Mastev,
  • Valery G. Romanovski and
  • Yun Tian

2 February 2024

An involution refers to a function that acts as its own inverse. In this paper, our focus lies on exploring two-dimensional involutive maps defined by rational functions. These functions have denominators represented by polynomials of degree one and...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
2 Citations
3,520 Views
20 Pages

An EM/MCMC Markov-Switching GARCH Behavioral Algorithm for Random-Length Lumber Futures Trading

  • Oscar V. De la Torre-Torres,
  • José Álvarez-García and
  • María de la Cruz del Río-Rama

2 February 2024

This paper tests using two-regime Markov-switching models with asymmetric, time-varying exponential generalized autoregressive conditional heteroskedasticity (MS-EGARCH) variances in random-length lumber futures trading. By assuming a two-regime cont...

(This article belongs to the Special Issue Mathematical, Statistical, and Soft Computing Methods for Uncertainty Management)
  • Article
  • Open Access
10 Citations
2,912 Views
19 Pages

2 February 2024

This article describes the solution of two problems. First, based on the fractional diffusion equation, a boundary problem with arbitrary values of derivative indicators was formulated and solved, describing more general cases than existing solutions...

(This article belongs to the Special Issue Applied and Computational Mathematics for Digital Environments, 2nd Edition)
  • Article
  • Open Access
10 Citations
2,212 Views
43 Pages

2 February 2024

Industry is the primary application for induction machines. As such, it is essential to calculate the induction devices’ electrical properties accurately. With DC testing, no-load rotor tests, and locked rotor tests, one may empirically evaluat...

  • Article
  • Open Access
11 Citations
4,624 Views
26 Pages

2 February 2024

Intelligent fault diagnosis encounters the challenges of varying working conditions and sample class imbalance individually, but very few approaches address both challenges simultaneously. This article proposes an improvement network model named ICDA...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
5,711 Views
18 Pages

2 February 2024

We present a novel formulation of structural design optimization problems specifically tailored to be solved by qa. Structural design optimization aims to find the best, i.e., material-efficient yet high-performance, configuration of a structure. To...

(This article belongs to the Special Issue Advances in Quantum Computing and Applications)
  • Article
  • Open Access
63 Citations
7,239 Views
17 Pages

Analysis of a Predictive Mathematical Model of Weather Changes Based on Neural Networks

  • Boris V. Malozyomov,
  • Nikita V. Martyushev,
  • Svetlana N. Sorokova,
  • Egor A. Efremenkov and ,
  • Denis V. Valuev and
  • Mengxu Qi
  • + 1 author+ 0 author

2 February 2024

In this paper, we investigate mathematical models of meteorological forecasting based on the work of neural networks, which allow us to calculate presumptive meteorological parameters of the desired location on the basis of previous meteorological da...

(This article belongs to the Special Issue Statistical Data Modeling and Machine Learning with Applications, 3rd Edition)
  • Article
  • Open Access
24 Citations
2,427 Views
14 Pages

A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications

  • Moin-ud-Din Junjua,
  • Ather Qayyum,
  • Arslan Munir,
  • Hüseyin Budak and ,
  • Muhammad Mohsen Saleem and
  • Siti Suzlin Supadi
  • + 1 author+ 0 author

2 February 2024

Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields su...

(This article belongs to the Special Issue Fractional Differential Equations, Inclusions and Inequalities with Applications II)
  • Article
  • Open Access
14 Citations
2,284 Views
27 Pages

Research on Path Planning Method of Solid Backfilling and Pushing Mechanism Based on Adaptive Genetic Particle Swarm Optimization

  • Lei Bo,
  • Zihang Zhang,
  • Yang Liu,
  • Shangqing Yang and ,
  • Yanwen Wang,
  • Yiying Wang and
  • Xuanrui Zhang
  • + 2 authors+ 0 author

2 February 2024

This paper investigates the path planning problem of the coal mine solid-filling and pushing mechanism and proposes a hybrid improved adaptive genetic particle swarm algorithm (AGAPSO). To enhance the efficiency and accuracy of path planning, the alg...

  • Article
  • Open Access
6 Citations
2,313 Views
14 Pages

2 February 2024

Cap-and-trade models have been largely studied in the literature when it comes to reducing emissions in a supply chain. In this paper, further pursuing the goal of analyzing the effectiveness of cap-and-trade strategies in reducing emissions in suppl...

(This article belongs to the Special Issue Combinatorial Optimization and Applications)
  • Article
  • Open Access
1 Citations
3,300 Views
14 Pages

2 February 2024

Dynamical systems are ubiquitous in the physical world and are often well-described by partial differential equations (PDEs). Despite their formally infinite-dimensional solution space, a number of systems have long time dynamics that live on a low-d...

(This article belongs to the Special Issue Applied Mathematics and Machine Learning)
  • Article
  • Open Access
2,032 Views
15 Pages

Randomized Block Kaczmarz Methods for Inner Inverses of a Matrix

  • Lili Xing,
  • Wendi Bao,
  • Ying Lv,
  • Zhiwei Guo and
  • Weiguo Li

2 February 2024

In this paper, two randomized block Kaczmarz methods to compute inner inverses of any rectangular matrix A are presented. These are iterative methods without matrix multiplications and their convergence is proved. The numerical results show that the...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
2,669 Views
14 Pages

1 February 2024

In this research, a novel approach is presented to enhance the precision of open-type optical linear encoders, focusing on reducing subdivisional errors (SDEs). Optical linear encoders are crucial in high-precision machinery. The overall error in opt...

(This article belongs to the Special Issue Nonlinear Vibration Theory and Mechanical Dynamics)
  • Article
  • Open Access
1 Citations
1,735 Views
22 Pages

1 February 2024

This article is devoted to the synthesis and analysis of the quality of the statistical estimate of parameters of a multidimensional linear system (MLS) with one input and m outputs. A nontrivial case is investigated when the one-dimensional input si...

(This article belongs to the Special Issue Probability, Statistics and Random Processes)
  • Article
  • Open Access
3 Citations
2,369 Views
21 Pages

CLG: Contrastive Label Generation with Knowledge for Few-Shot Learning

  • Han Ma,
  • Baoyu Fan,
  • Benjamin K. Ng and
  • Chan-Tong Lam

1 February 2024

Training large-scale models needs big data. However, the few-shot problem is difficult to resolve due to inadequate training data. It is valuable to use only a few training samples to perform the task, such as using big data for application scenarios...

(This article belongs to the Special Issue Hybrid Data Processing by Combining Machine Learning, Expert, Safety and Security)
  • Article
  • Open Access
1 Citations
1,760 Views
13 Pages

1 February 2024

Roughly speaking, Ekeland’s Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324–353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space. Lat...

(This article belongs to the Special Issue New Advances in Fuzzy Metric Spaces, Soft Metric Spaces, and Other Related Structures, 2nd Edition)
  • Article
  • Open Access
10 Citations
2,221 Views
23 Pages

1 February 2024

This paper delves into the asymptotic and oscillatory behavior of all classes of solutions of fourth-order nonlinear neutral delay differential equations in the noncanonical form with damping terms. This research aims to improve the relationships bet...

(This article belongs to the Special Issue The Theory of Differential Equations and Their Applications)
  • Article
  • Open Access
20 Citations
2,972 Views
20 Pages

1 February 2024

The advancement of cloud computing technologies has positioned virtual machine (VM) migration as a critical area of research, essential for optimizing resource management, bolstering fault tolerance, and ensuring uninterrupted service delivery. This...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
6 Citations
2,564 Views
17 Pages

Leader-Following Consensus of Discrete-Time Nonlinear Multi-Agent Systems with Asymmetric Saturation Impulsive Control

  • Qiao Yuan,
  • Guorong Chen,
  • Yuan Tian,
  • Yu Yuan and ,
  • Qian Zhang,
  • Xiaonan Wang and
  • Jingcheng Liu
  • + 2 authors+ 0 author

1 February 2024

Impulsive control is an effective approach for coordinating multi-agent systems in practical environments due to its high robustness and low cost. However, impulsive control exhibits characteristics such as high amplitude and rapid variation, potenti...

  • Article
  • Open Access
3 Citations
3,242 Views
16 Pages

1 February 2024

Wind flow over complex terrain is strongly influenced by the topographical features of the region, resulting in unpredictable local wind characteristics. This paper employs numerical simulation to study the wind flow at a towering peak extending out...

(This article belongs to the Special Issue Numerical Simulation and Computational Methods in Engineering and Sciences)
  • Article
  • Open Access
14 Citations
2,267 Views
12 Pages

Fuzzy Fractional Caputo Derivative of Susceptible-Infectious- Removed Epidemic Model for Childhood Diseases

  • Suganya Subramanian,
  • Agilan Kumaran,
  • Srilekha Ravichandran,
  • Parthiban Venugopal and ,
  • Slim Dhahri and
  • Kavikumar Ramasamy
  • + 1 author+ 0 author

31 January 2024

In this work, the susceptible-infectious-removed (SIR) dynamics are considered in relation to the effects on the health system. With the help of the Caputo derivative fractional-order method, the SIR epidemic model for childhood diseases is designed....

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
2,203 Views
12 Pages

Point-Wise Ribosome Translation Speed Prediction with Recurrent Neural Networks

  • Pietro Bongini,
  • Niccolò Pancino,
  • Veronica Lachi,
  • Caterina Graziani and ,
  • Giorgia Giacomini,
  • Paolo Andreini and
  • Monica Bianchini
  • + 2 authors+ 0 author

31 January 2024

Escherichia coli is a benchmark organism, which has been deeply studied by the scientific community for decades, obtaining a vast amount of metabolic and genetic data. Among these data, estimates of the translation speed of ribosomes over their genom...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
1,899 Views
21 Pages

31 January 2024

Painlevé transcendents are usually considered as complex functions of a complex variable, but, in applications, it is often the real cases that are of interest. We propose a classification of the real solutions of Painlevé IV (or, more...

(This article belongs to the Special Issue Advanced Research in Mathematical Physics Models with Painlevé Property and Affine Weyl Group Symmetry)
  • Article
  • Open Access
2,425 Views
29 Pages

31 January 2024

The limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of p...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
4 Citations
2,376 Views
22 Pages

Multi-Agent Collaborative Rumor-Debunking Strategies on Virtual-Real Network Layer

  • Xiaojing Zhong,
  • Yawen Zheng,
  • Junxian Xie,
  • Ying Xie and
  • Yuqing Peng

31 January 2024

In the era of self-media, the spontaneity and anonymity of information dissemination have led to a surge in rumors, posing significant challenges to cybersecurity. This paper introduces a novel dual-layer VR−SHI1I2R rumor control model for stud...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
1,551 Views
15 Pages

31 January 2024

In this study, we explore a downlink cellular network where each base station (BS) engages in simultaneous communication with multiple users through spatial division multiple access (SDMA). The positions of both BSs and users are established through...

  • Article
  • Open Access
2 Citations
3,070 Views
15 Pages

31 January 2024

The bootstrapping procedure has become the main bottleneck affecting the efficiency of all known fully homomorphic encryption (FHE) schemes. The state-of-the-art scheme for efficient bootstrapping, which is called fully homomorphic encryption over th...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
15 Citations
5,335 Views
37 Pages

Machine-Learning-Based Approaches for Multi-Level Sentiment Analysis of Romanian Reviews

  • Anamaria Briciu,
  • Alina-Delia Călin,
  • Diana-Lucia Miholca,
  • Cristiana Moroz-Dubenco and ,
  • Vladiela Petrașcu and
  • George Dascălu
  • + 1 author+ 0 author

31 January 2024

Sentiment analysis has increasingly gained significance in commercial settings, driven by the rising impact of reviews on purchase decision-making in recent years. This research conducts a thorough examination of the suitability of machine learning a...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
5 Citations
1,591 Views
15 Pages

31 January 2024

In this paper, the approximation of analytic functions by shifts ζP(s+iτ) of Beurling zeta-functions ζP(s) of certain systems P of generalized prime numbers is discussed. It is required that the system of g...

(This article belongs to the Special Issue Analytic Methods in Number Theory and Allied Fields)
  • Article
  • Open Access
9 Citations
3,909 Views
25 Pages

Homological Landscape of Human Brain Functional Sub-Circuits

  • Duy Duong-Tran,
  • Ralph Kaufmann,
  • Jiong Chen,
  • Xuan Wang and ,
  • Sumita Garai,
  • Frederick H. Xu,
  • Jingxuan Bao,
  • Enrico Amico,
  • Alan D. Kaplan and
  • Li Shen
  • + 8 authors+ 3 authors

31 January 2024

Human whole-brain functional connectivity networks have been shown to exhibit both local/quasilocal (e.g., a set of functional sub-circuits induced by node or edge attributes) and non-local (e.g., higher-order functional coordination patterns) proper...

(This article belongs to the Special Issue Computer Graphics, Visualization and Medical Imaging: Theory and Applications)
  • Feature Paper
  • Article
  • Open Access
1,859 Views
11 Pages

31 January 2024

For a family of dynamical systems with k>0 independent first integrals evolving in a compact region of a Euclidean space, we study the equilibrium locus. We show that under mild and generic conditions, it is a smooth manifold that can be viewed as...

(This article belongs to the Section B: Geometry and Topology)
  • Article
  • Open Access
6 Citations
2,233 Views
16 Pages

Nonlinear Modeling and Vibration Response Analysis of a Dual-Rotor System with an Inter-Shaft Graphite Seal

  • Sen Xiao,
  • Pingchao Yu,
  • Zihan Jiang,
  • Cun Wang and ,
  • Jiayu Chen and
  • Qicheng Zhang
  • + 1 author+ 0 author

31 January 2024

The inter-shaft graphite seal is a common structure in the dual-rotor system, and may generate nonlinear lateral excitation when there is large relative angular motion at the seal position. This paper represents the first attempt to study the nonline...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Feature Paper
  • Article
  • Open Access
14 Citations
2,539 Views
16 Pages

An Enhanced FCM Clustering Method Based on Multi-Strategy Tuna Swarm Optimization

  • Changkang Sun,
  • Qinglong Shao,
  • Ziqi Zhou and
  • Junxiao Zhang

31 January 2024

To overcome the shortcoming of the Fuzzy C-means algorithm (FCM)—that it is easy to fall into local optima due to the dependence of sub-spatial clustering on initialization—a Multi-Strategy Tuna Swarm Optimization-Fuzzy C-means (MSTSO-FCM...

(This article belongs to the Special Issue Advances in Analysis and Application of Mathematical Optimization Algorithms)
  • Article
  • Open Access
9 Citations
2,794 Views
20 Pages

Fusion Q-Learning Algorithm for Open Shop Scheduling Problem with AGVs

  • Xiaoyu Wen,
  • Haobo Zhang,
  • Hao Li,
  • Haoqi Wang and ,
  • Wuyi Ming,
  • Yuyan Zhang and
  • Like Zhang
  • + 2 authors+ 0 author

31 January 2024

In accordance with the actual production circumstances of enterprises, a scheduling problem model is designed for open-shop environments, considering AGV transport time. A Q-learning-based method is proposed for the resolution of such problems. Based...

(This article belongs to the Special Issue Ensemble Evolutionary Algorithms and Machine Learning for Solving Complex Optimization and Scheduling Problems)

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Mathematics - ISSN 2227-7390