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Mathematics, Volume 11, Issue 10

2023 May-2 - 189 articles

Cover Story: 2-rainbow domination is a variant of domination where two colors are assigned to vertices. It is used in models where two distinct resources are to be provided to customers, i.e., uncolored vertices. A vertex is said to be 2RD-dominated if it is allocated a non-empty set of colors or if two colors are assigned to the vertices in its locality. New results on 2-rainbow domination numbers, denoted by γrt(G), of generalized Petersen graphs, P(ck,k), are provided, including the exact values for all infinite families where the general lower bound \({\frac{4}{5}}\)ck is attained. In all other cases, lower and upper bounds with small gaps are given. View this paper
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Articles (189)

  • Article
  • Open Access
31 Citations
2,168 Views
26 Pages

A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

  • Emad E. Ghandourah,
  • Ahmed Amine Daikh,
  • Samir Khatir,
  • Abdulsalam M. Alhawsawi,
  • Essam M. Banoqitah and
  • Mohamed A. Eltaher

22 May 2023

Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell...

  • Article
  • Open Access
5 Citations
2,881 Views
17 Pages

Splines Parameterization of Planar Domains by Physics-Informed Neural Networks

  • Antonella Falini,
  • Giuseppe Alessio D’Inverno,
  • Maria Lucia Sampoli and
  • Francesca Mazzia

22 May 2023

The generation of structured grids on bounded domains is a crucial issue in the development of numerical models for solving differential problems. In particular, the representation of the given computational domain through a regular parameterization...

  • Article
  • Open Access
22 Citations
2,366 Views
16 Pages

22 May 2023

This paper investigates the mean-square stability of uncertain time-delay stochastic systems driven by G-Brownian motion, which are commonly referred to as G-SDDEs. To derive a new set of sufficient stability conditions, we employ the linear matrix i...

  • Article
  • Open Access
1 Citations
2,024 Views
13 Pages

Rethinking the Role of Organizational Reflex in Maintaining a Company’s Sustainability

  • Sigitas Vaitkevicius,
  • Ojaras Purvinis,
  • Leonidas Sakalauskas and
  • Palmira Papsiene

22 May 2023

The organizational reflex in relation to the company is considered to be an instinctive reaction of its employees to an external stimulus that has arisen or, in other words, the ability of the employee to spontaneously generate a competitive response...

  • Article
  • Open Access
10 Citations
2,707 Views
17 Pages

22 May 2023

Any small environmental changes in the driving environment of a traffic vehicle can become a risk factor directly leading to major safety incidents. Therefore, it is necessary to assist drivers in automatically detecting risk factors during the drivi...

  • Article
  • Open Access
1 Citations
5,965 Views
11 Pages

Mathematical Physics of Time Dilation through Curved Trajectories with Applications

  • Ayman Kamel,
  • Abdelhalim Ebaid,
  • Essam R. El-Zahar,
  • Riadh Chteoui and
  • Laila F. Seddek

22 May 2023

In special relativity, the time dilation formula has been obtained by particles propagation in a straight line trajectory relative to an observer in motion. Up to now, there are no available formulas for other possible trajectories of particles. Howe...

  • Article
  • Open Access
35 Citations
2,967 Views
26 Pages

22 May 2023

The present research examines the steady, one-dimensional thermal distribution and heat transfer of a wavy fin. This heat transfer analysis considers convective effects as well as temperature-dependent thermal conductivity. Furthermore, a novel imple...

  • Article
  • Open Access
17 Citations
2,482 Views
29 Pages

22 May 2023

The assignment of tasks for unmanned aerial vehicles (UAVs) during forest fire reconnaissance is a highly complex and large-scale problem. Current task allocation methods struggle to strike a balance between solution speed and effectiveness. In this...

  • Article
  • Open Access
4 Citations
1,802 Views
14 Pages

22 May 2023

The aim of this research article is to obtain fixed point results in the context of F-bipolar metric spaces. The obtained results extend some fixed point theorems in the existing literature. We also provide a non-trivial example to validate our claim...

  • Article
  • Open Access
2 Citations
1,912 Views
21 Pages

22 May 2023

Ultrahigh-dimensional grouped data are frequently encountered by biostatisticians working on multi-class categorical problems. To rapidly screen out the null predictors, this paper proposes a quantile-composited feature screening procedure. The new m...

  • Article
  • Open Access
29 Citations
4,190 Views
35 Pages

Color Image Encryption Algorithm Based on a Chaotic Model Using the Modular Discrete Derivative and Langton’s Ant

  • Ernesto Moya-Albor,
  • Andrés Romero-Arellano,
  • Jorge Brieva and
  • Sandra L. Gomez-Coronel

22 May 2023

In this work, a color image encryption and decryption algorithm for digital images is presented. It is based on the modular discrete derivative (MDD), a novel technique to encrypt images and efficiently hide visual information. In addition, Langton&r...

  • Article
  • Open Access
3 Citations
1,577 Views
11 Pages

22 May 2023

This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwh...

  • Article
  • Open Access
61 Citations
2,680 Views
11 Pages

Mathematical Modeling of Mechanical Forces and Power Balance in Electromechanical Energy Converter

  • Boris V. Malozyomov,
  • Nikita V. Martyushev,
  • Svetlana N. Sorokova,
  • Egor A. Efremenkov and
  • Mengxu Qi

22 May 2023

This article proposes a calculation method for mechanical (electromagnetic) forces arising in an electromechanical energy converter acting on current circuits in a magnetic field, or on capacitor plates in an electric one. Transformations were perfor...

  • Article
  • Open Access
1,412 Views
13 Pages

22 May 2023

Maturation strategies play a key role in the survival and development of populations. In response to changes in the external environment and human interventions, populations adopt appropriate maturation strategies. Different maturation strategies can...

  • Article
  • Open Access
3 Citations
3,032 Views
21 Pages

Quality Assessment Assistance of Lateral Knee X-rays: A Hybrid Convolutional Neural Network Approach

  • Simon Lysdahlgaard,
  • Sandi Baressi Šegota,
  • Søren Hess,
  • Ronald Antulov,
  • Martin Weber Kusk and
  • Zlatan Car

22 May 2023

A common issue with X-ray examinations (XE) is the erroneous quality classification of the XE, implying that the process needs to be repeated, thus delaying the diagnostic assessment of the XE and increasing the amount of radiation the patient receiv...

  • Article
  • Open Access
4 Citations
2,018 Views
9 Pages

22 May 2023

We take into account the stochastic Boiti–Leon–Manna–Pempinelli equation (SBLMPE), which is perturbed by a multiplicative Brownian motion. By applying He’s semi-inverse method and the Riccati equation mapping method, we can ac...

  • Article
  • Open Access
2,020 Views
14 Pages

22 May 2023

In the process of image restoration, it is usually necessary to solve large-scale inverse problems, where the computational cost is very high for large or high-resolution images. The domain decomposition method is one of the most effective algorithms...

  • Article
  • Open Access
5 Citations
2,168 Views
19 Pages

21 May 2023

This work aims mainly to study the impact of experiencing asymptomatic anthroponotic cutaneous leishmaniasis (ACL) infection on the overall dynamics and outcomes of the disease. Therefore, a deterministic model for the transmission dynamics of ACL of...

  • Article
  • Open Access
9 Citations
5,595 Views
14 Pages

21 May 2023

In reality, sellers face challenges in obtaining perfect demand information. Demand is influenced not only by price but also by behavioral factors such as reference effects, which complicate optimal pricing for enterprises. To address this problem, w...

  • Article
  • Open Access
4 Citations
3,636 Views
22 Pages

20 May 2023

Considering the sensitivity of data in medical scenarios, federated learning (FL) is suitable for applications that require data privacy. Medical personnel can use the FL framework for machine learning to assist in analyzing large-scale data that are...

  • Article
  • Open Access
9 Citations
1,779 Views
21 Pages

20 May 2023

In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-expon...

  • Article
  • Open Access
2 Citations
2,072 Views
16 Pages

20 May 2023

The paper presents a model-based design consideration of a series single-ended transistor resonant DC-DC converter with zero voltage switching (ZVS). A characteristic of this converter is that it is highly efficient due to the resonant nature of elec...

  • Article
  • Open Access
1 Citations
2,144 Views
18 Pages

20 May 2023

The transmission rate is an important indicator for characterizing a virus and estimating the risk of its outbreak in a certain area, but it is hard to measure. COVID-19, for instance, has greatly affected the world for more than 3 years since early...

  • Article
  • Open Access
3 Citations
2,081 Views
17 Pages

On Matrices with Only One Non-SDD Row

  • Ksenija Doroslovački and
  • Dragana Cvetković

20 May 2023

The class of H-matrices, also known as Generalized Diagonally Dominant (GDD) matrices, plays an important role in many areas of applied linear algebra, as well as in a wide range of applications, such as in dynamical analysis of complex networks that...

  • Article
  • Open Access
2 Citations
2,395 Views
24 Pages

19 May 2023

The modal and vibration-noise response characteristics of plate structures are closely related to their boundary effects, and the analytical modeling and solution of the dynamics of plate structures with complex boundary conditions can reveal mechani...

  • Article
  • Open Access
1 Citations
2,860 Views
18 Pages

A Multi-Agent Adaptive Co-Evolution Method in Dynamic Environments

  • Yan Li,
  • Huazhi Zhang,
  • Weiming Xu,
  • Jianan Wang,
  • Jialu Wang and
  • Suyu Wang

19 May 2023

It is challenging to ensure satisfying co-evolution efficiency for the multi-agents in dynamic environments since during Actor-Critic training there is a high probability of falling into local optimality, failing to adapt to the suddenly changed envi...

  • Article
  • Open Access
11 Citations
2,798 Views
16 Pages

Single-Server Queuing-Inventory Systems with Negative Customers and Catastrophes in the Warehouse

  • Agassi Melikov,
  • Laman Poladova,
  • Sandhya Edayapurath and
  • Janos Sztrik

19 May 2023

In this paper, we studied single-server models of queuing-inventory systems (QIS) with catastrophes in the warehouse part and negative customers (n-customers) in service facility. Consumer customers (c-customers) that arrived to buy inventory can be...

  • Article
  • Open Access
9 Citations
2,175 Views
21 Pages

19 May 2023

The reliability of the high-voltage drive motor system for pure electric commercial vehicles is in premium demand. Conventional reliability based on fault tree analysis methods is not suitable for the quantitative assessment of polymorphic systems. A...

  • Article
  • Open Access
65 Citations
7,700 Views
12 Pages

19 May 2023

Efficient detection of pavement cracks can effectively prevent traffic accidents and reduce road maintenance costs. In this paper, an improved YOLOv5 network combined with a Bottleneck Transformer is proposed for crack detection, called YOLOv5-CBoT....

  • Article
  • Open Access
16 Citations
4,862 Views
23 Pages

19 May 2023

In recent years, the demand for vehicular edge computing (VEC) has grown rapidly due to the increasing need for low-latency and high-throughput applications such as autonomous driving and smart transportation systems. Nevertheless, offering VEC servi...

  • Review
  • Open Access
16 Citations
7,267 Views
43 Pages

19 May 2023

As the field of deep learning experiences a meteoric rise, the urgency to decipher the complex geometric properties of feature spaces, which underlie the effectiveness of diverse learning algorithms and optimization techniques, has become paramount....

  • Article
  • Open Access
7 Citations
1,798 Views
29 Pages

19 May 2023

The growth of colorectal cancer tumors and their reactions to chemo-immunotherapeutic treatment with monoclonal antibodies (mAb) are discussed in this paper using a system of fractional order differential equations (FDEs). mAb medications are still a...

  • Article
  • Open Access
15 Citations
1,631 Views
21 Pages

Construction of Local-Shape-Controlled Quartic Generalized Said-Ball Model

  • Jiaoyue Zheng,
  • Xiaomin Ji,
  • Zhaozhao Ma and
  • Gang Hu

19 May 2023

Said-Ball curves and surfaces are extensively applied in the realm of geometric modeling. Their appearance is only decided by the control points, which produces a great deal of inconvenience for the shape design of sophisticated products. To overcome...

  • Article
  • Open Access
1 Citations
1,884 Views
21 Pages

19 May 2023

This paper presents an extensive study of traveling wave solutions for a population model where the growth function incorporates the Allee effect. We are able to find closed form solutions for solitary waves that are kinks and pulses (bell type). Add...

  • Article
  • Open Access
1,359 Views
11 Pages

19 May 2023

The purpose of this article is to study how q-real numbers can be used for computations of convergence regions, q-integral representations of certain multiple triple q-Lauricella functions. The corresponding q-difference equations are also given with...

  • Article
  • Open Access
13 Citations
3,684 Views
29 Pages

XTS: A Hybrid Framework to Detect DNS-Over-HTTPS Tunnels Based on XGBoost and Cooperative Game Theory

  • Mungwarakarama Irénée,
  • Yichuan Wang,
  • Xinhong Hei,
  • Xin Song,
  • Jean Claude Turiho and
  • Enan Muhire Nyesheja

19 May 2023

This paper proposes a hybrid approach called XTS that uses a combination of techniques to analyze highly imbalanced data with minimum features. XTS combines cost-sensitive XGBoost, a game theory-based model explainer called TreeSHAP, and a newly deve...

  • Article
  • Open Access
9 Citations
4,067 Views
22 Pages

19 May 2023

Leisure time is crucial for personal development and leisure consumption. Accurate prediction of leisure time and analysis of its influencing factors creates a benefit by increasing personal leisure time. We predict leisure time and analyze its key i...

  • Article
  • Open Access
2 Citations
1,651 Views
41 Pages

19 May 2023

In this paper, we consider a compressible fluid model of the Korteweg type on general domains in the N-dimensional Euclidean space for N2. The Korteweg-type model is employed to describe fluid capillarity effects or liquid–vapor two-phase f...

  • Article
  • Open Access
15 Citations
2,533 Views
15 Pages

19 May 2023

In order to encourage energy saving and the adoption of renewable sources, this study provides a comprehensive experimental framework that integrates socioeconomic and behavioral objectives for the local energy community. The experiment aims to find...

  • Article
  • Open Access
17 Citations
6,314 Views
20 Pages

The Effects of Dynamic Absorptive Capacity on Innovation Strategy: Evidence from SMEs in a Technological Context

  • Mauricio Bedoya-Villa,
  • Elkin Pérez-Sánchez,
  • Hugo Baier-Fuentes,
  • Cesar Zapata-Molina and
  • Edith Román-Castaño

19 May 2023

Absorptive capacity and innovation strategies are determining issues for the survival of organizations in current contexts. While organizations are immersed in the knowledge society, managers face great challenges to respond to market needs and perfo...

  • Article
  • Open Access
2 Citations
3,497 Views
12 Pages

19 May 2023

This paper deals with the analysis of the persistence in the Harmonized Indices of Consumer Prices in France, Germany, Italy, and Spain. The degree of persistence is measured through fractional integration or I (d) techniques, using monthly data from...

  • Article
  • Open Access
3 Citations
1,968 Views
19 Pages

Performance Augmentation of Cuckoo Search Optimization Technique Using Vector Quantization in Image Compression

  • Aditya Bakshi,
  • Akhil Gupta,
  • Sudeep Tanwar,
  • Gulshan Sharma,
  • Pitshou N. Bokoro,
  • Fayez Alqahtani,
  • Amr Tolba and
  • Maria Simona Raboaca

19 May 2023

For constructing the best local codebook for image compression, there are many Vector Quantization (VQ) procedures, but the simplest VQ procedure is the Linde–Buzo–Gray (LBG) procedure. Techniques such as the Gaussian Dissemination Functi...

  • Article
  • Open Access
2 Citations
1,924 Views
12 Pages

19 May 2023

This paper studies the containment control problem of linear multi-agent systems (MASs) subject to external disturbances, where the communication graph is a directed graph with the followers being undirected connections. In order to save communicatio...

  • Article
  • Open Access
11 Citations
3,131 Views
12 Pages

19 May 2023

The analytic hierarchy process (AHP) has been a widely used method for handling multi-criteria decision-making (MCDM) problems since the 1980s. However, it postulates that criteria are independent and static, which may not always hold true in realist...

  • Article
  • Open Access
1,919 Views
13 Pages

18 May 2023

The conformal transformation, which preserves Einstein metrics on Finsler warped product manifolds, is studied in this paper. We obtain sufficient and necessary conditions of a conformal transformation preserving Einstein metrics. In addition, we pro...

  • Article
  • Open Access
3 Citations
1,975 Views
14 Pages

18 May 2023

Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics. Motivated by the widely used Lie-group differential algebraic equation (LGDAE) method,...

  • Article
  • Open Access
3 Citations
1,950 Views
12 Pages

18 May 2023

In this paper, we bring forward a distributed algorithm for the assignment of a prescribed Laplacian spectrum for path graphs by means of asymmetric weight assignment. We first describe the meaningfulness and the relevance of this mathematical settin...

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Mathematics - ISSN 2227-7390