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Mathematics, Volume 9, Issue 11

2021 June-1 - 155 articles

Cover Story: Antimagic labeling of a graph with m edges is an injective assignment of labels from {1, 2, . . . , m} to the edges, such that the sums of incident labels are distinct at distinct vertices. In 1990, Hartsfield and Ringel initiated the study of the topic, which has since received much attention. More recently, in 2017, antimagic labeling was extended to local antimagic labeling in cases where the sums of incident edge labels are distinct only for adjacent vertices. This leads naturally to local antimagic vertex coloring and the associated chromatic number, via defining the sums of the incident edge labels of a vertex as its color. More interesting conjectures can be found in the literature regarding this newly defined parameter for various classes of graphs. In this article, the bounds of the local antimagic chromatic number are estimated for the disjoint union of multiple copies of a graph. View this paper
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Articles (155)

  • Article
  • Open Access
31 Citations
3,012 Views
17 Pages

On Riemann—Liouville and Caputo Fractional Forward Difference Monotonicity Analysis

  • Pshtiwan Othman Mohammed,
  • Thabet Abdeljawad and
  • Faraidun Kadir Hamasalh

7 June 2021

Monotonicity analysis of delta fractional sums and differences of order υ(0,1] on the time scale hZ are presented in this study. For this analysis, two models of discrete fractional calculus, Riemann–Liouville and Caputo, are considered. There is a...

  • Article
  • Open Access
68 Citations
6,424 Views
30 Pages

An Integrated Decision-Making Approach for Green Supplier Selection in an Agri-Food Supply Chain: Threshold of Robustness Worthiness

  • Erfan Babaee Tirkolaee,
  • Zahra Dashtian,
  • Gerhard-Wilhelm Weber,
  • Hana Tomaskova,
  • Mehdi Soltani and
  • Nasim Sadat Mousavi

7 June 2021

Along with the increased competition in production and service areas, many organizations attempt to provide their products at a lower price and higher quality. On the other hand, consideration of environmental criteria in the conventional supplier se...

  • Article
  • Open Access
8 Citations
5,052 Views
22 Pages

Wildfires Vegetation Recovery through Satellite Remote Sensing and Functional Data Analysis

  • Feliu Serra-Burriel,
  • Pedro Delicado and
  • Fernando M. Cucchietti

7 June 2021

In recent years, wildfires have caused havoc across the world, which are especially aggravated in certain regions due to climate change. Remote sensing has become a powerful tool for monitoring fires, as well as for measuring their effects on vegetat...

  • Article
  • Open Access
17 Citations
7,079 Views
15 Pages

7 June 2021

In this paper, we propose a novel blended algorithm that has the advantages of the trisection method and the false position method. Numerical results indicate that the proposed algorithm outperforms the secant, the trisection, the Newton–Raphson, the...

  • Article
  • Open Access
2,652 Views
18 Pages

Ordering of Omics Features Using Beta Distributions on Montecarlo p-Values

  • Angela L. Riffo-Campos,
  • Guillermo Ayala and
  • Juan Domingo

7 June 2021

The current trend in genetic research is the study of omics data as a whole, either combining studies or omics techniques. This raises the need for new robust statistical methods that can integrate and order the relevant biological information. A goo...

  • Article
  • Open Access
10 Citations
4,740 Views
20 Pages

How Sustainability Is Defined: An Analysis of 100 Theoretical Approximations

  • Arturo Luque González,
  • Jesús Ángel Coronado Martín,
  • Ana Cecilia Vaca-Tapia and
  • Francklin Rivas

7 June 2021

Sustainability processes are imperfect, hence there is a need to analyze their construction, evolution and deployment. To this end, a sample of one hundred sustainability constructs was taken, together with their conceptual approaches, in order to ga...

  • Article
  • Open Access
4 Citations
2,288 Views
14 Pages

Ultrasonic Waves in Bubbly Liquids: An Analytic Approach

  • Pilar Ruiz Gordoa and
  • Andrew Pickering

7 June 2021

We consider the problem of the propagation of high-intensity acoustic waves in a bubble layer consisting of spherical bubbles of identical size with a uniform distribution. The mathematical model is a coupled system of partial differential equations...

  • Article
  • Open Access
4 Citations
5,094 Views
20 Pages

Hierarchical Modeling for Diagnostic Test Accuracy Using Multivariate Probability Distribution Functions

  • Johny Pambabay-Calero,
  • Sergio Bauz-Olvera,
  • Ana Nieto-Librero,
  • Ana Sánchez-García and
  • Puri Galindo-Villardón

7 June 2021

Models implemented in statistical software for the precision analysis of diagnostic tests include random-effects modeling (bivariate model) and hierarchical regression (hierarchical summary receiver operating characteristic). However, these models do...

  • Article
  • Open Access
5 Citations
3,372 Views
10 Pages

Fractal Dimension as Quantifier of EEG Activity in Driving Simulation

  • Mª Victoria Sebastián,
  • Mª Antonia Navascués,
  • Antonio Otal,
  • Carlos Ruiz,
  • Mª Ángeles Idiazábal,
  • Leandro L. Di Stasi and
  • Carolina Díaz-Piedra

7 June 2021

Dynamical systems and fractal theory methodologies have been proved useful for the modeling and analysis of experimental datasets and, in particular, for electroencephalographic signals. The computation of the fractal dimension of approximation curve...

  • Article
  • Open Access
4 Citations
3,018 Views
10 Pages

7 June 2021

In this paper we present a two parameter family of differential equations treated by Jacopo Riccati, which does not appear in any modern repertoires and we extend the original solution method to a four parameter family of equations, translating the R...

  • Article
  • Open Access
1 Citations
2,684 Views
16 Pages

6 June 2021

This paper analyzed the multi-machine repairable system with one unreliable server and one repairman. The machines may break at any time. One server oversees servicing the machine breakdown. The server may fail at any time with different failure rate...

  • Article
  • Open Access
32 Citations
3,501 Views
12 Pages

Optimal Investment in Preservation Technology for Variable Demand under Trade-Credit and Shortages

  • Mrudul Y. Jani,
  • Manish R. Betheja,
  • Urmila Chaudhari and
  • Biswajit Sarkar

6 June 2021

In particular business transactions, the supplier usually provides an admissible delay in settlement to its vendor to encourage further sales. Additionally, the demand for the commodity is inversely proportional to the function of the sales price, wh...

  • Article
  • Open Access
18 Citations
3,125 Views
15 Pages

On the Stability of Convection in a Non-Newtonian Vertical Fluid Layer in the Presence of Gold Nanoparticles: Drug Agent for Thermotherapy

  • Khaled S. Mekheimer,
  • Bangalore M. Shankar,
  • Shaimaa F. Ramadan,
  • Hosahalli E. Mallik and
  • Mohamed S. Mohamed

6 June 2021

We consider the effect of gold nanoparticles on the stability properties of convection in a vertical fluid layer saturated by a Jeffreys fluid. The vertical boundaries are rigid and hold at uniform but different temperatures. Brownian diffusion and t...

  • Article
  • Open Access
5 Citations
4,378 Views
21 Pages

5 June 2021

As global competition has intensified in the automotive industry, there is a strong need for management teams to develop methods that allow accurate and objective assessments of plant productivity and to identify productivity improvement opportunitie...

  • Article
  • Open Access
9 Citations
4,561 Views
19 Pages

Improving Reliability and Energy Efficiency of Three Parallel Pumps by Selecting Trade-Off Operating Points

  • Safarbek Oshurbekov,
  • Vadim Kazakbaev,
  • Vladimir Prakht and
  • Vladimir Dmitrievskii

5 June 2021

Reliability, along with energy efficiency, is an important characteristic of pump units in various applications. In practical pump applications, it is important to strike a balance between reliability and energy efficiency. These indicators strongly...

  • Article
  • Open Access
19 Citations
5,109 Views
15 Pages

Sparse HJ Biplot: A New Methodology via Elastic Net

  • Mitzi Cubilla-Montilla,
  • Ana Belén Nieto-Librero,
  • M. Purificación Galindo-Villardón and
  • Carlos A. Torres-Cubilla

5 June 2021

The HJ biplot is a multivariate analysis technique that allows us to represent both individuals and variables in a space of reduced dimensions. To adapt this approach to massive datasets, it is necessary to implement new techniques that are capable o...

  • Correction
  • Open Access
2,525 Views
2 Pages

4 June 2021

The authors wish to make the following corrections to this paper [1] (see corrected version in postprint [2]):On page 2, paragraph 4, complete the first sentence ‘In Theorem 2 we show that if A is a real algebra and B is a basis of A then B also is a...

  • Article
  • Open Access
2 Citations
2,293 Views
14 Pages

4 June 2021

In this paper, we fixate on the stability of varying-time delayed memristive quaternionic neural networks (MQNNs). With the help of the closure of the convex hull of a set the theory of differential inclusion, MQNN are transformed into variable coeff...

  • Article
  • Open Access
1 Citations
2,632 Views
14 Pages

4 June 2021

In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results...

  • Article
  • Open Access
9 Citations
3,014 Views
16 Pages

4 June 2021

The Dempster–Shafer evidence theory has been widely used in the field of data fusion. However, with further research, incomplete information under the open world assumption has been discovered as a new type of uncertain information. The classical Dem...

  • Article
  • Open Access
4 Citations
3,045 Views
14 Pages

Masked Implementation of Format Preserving Encryption on Low-End AVR Microcontrollers and High-End ARM Processors

  • Hyunjun Kim,
  • Minjoo Sim,
  • Kyoungbae Jang,
  • Hyeokdong Kwon,
  • Siwoo Uhm and
  • Hwajeong Seo

4 June 2021

Format-Preserving Encryption (FPE) for Internet of Things (IoT) enables the data encryption while preserving the format and length of original data. With these advantages, FPE can be utilized in many IoT applications. However, FPE requires complicate...

  • Article
  • Open Access
19 Citations
4,152 Views
19 Pages

Identifying the Maximum Concentration of Results in Bilateral Sports Competitions

  • Antonio Avila-Cano,
  • Amparo Ruiz-Sepulveda and
  • Francisco Triguero-Ruiz

4 June 2021

There are situations in which a monopoly solution cannot be reached. In these cases, which situation represents the maximum concentration (minimum competitive balance)? It is a relevant question, given that in sports economics, measuring the competit...

  • Article
  • Open Access
20 Citations
5,108 Views
18 Pages

Vector Geometric Algebra in Power Systems: An Updated Formulation of Apparent Power under Non-Sinusoidal Conditions

  • Francisco G. Montoya,
  • Raúl Baños,
  • Alfredo Alcayde,
  • Francisco Manuel Arrabal-Campos and
  • Javier Roldán-Pérez

4 June 2021

Traditional electrical power theories and one of their most important concepts—apparent power—are still a source of debate, because they present several flaws that misinterpret the power-transfer and energy-balance phenomena under distorted grid cond...

  • Article
  • Open Access
2,604 Views
12 Pages

Evaluating Popular Statistical Properties of Incomplete Block Designs: A MATLAB Program Approach

  • Emmanuel Ikechukwu Mba,
  • Polycarp Emeka Chigbu and
  • Eugene Chijindu Ukaegbu

3 June 2021

Evaluating the statistical properties of a semi-Latin square, and in general, an incomplete block design, is vital in determining the usefulness of the design for experimentation. Improving the procedures for obtaining these statistical properties ha...

  • Article
  • Open Access
6 Citations
2,782 Views
27 Pages

A Global Analysis of Delayed SARS-CoV-2/Cancer Model with Immune Response

  • Afnan Al Agha,
  • Safiya Alshehaiween,
  • Ahmed Elaiw and
  • Matuka Alshaikh

3 June 2021

Coronavirus disease 2019 (COVID-19) is a respiratory disease caused by SARS-CoV-2. It appeared in China in late 2019 and rapidly spread to most countries of the world. Cancer patients infected with SARS-CoV-2 are at higher risk of developing severe i...

  • Article
  • Open Access
2 Citations
2,585 Views
9 Pages

3 June 2021

In this paper, we provide a geometric construction of a symmetric 2n-interval minimally supported frequency (MSF) d-dilation wavelet set with d(1,) and characterize all symmetric d-dilation wavelet sets. We also provide two special kinds of symmetr...

  • Article
  • Open Access
9 Citations
2,706 Views
13 Pages

3 June 2021

The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.

  • Article
  • Open Access
17 Citations
10,255 Views
24 Pages

Generalization of the Modigliani–Miller Theory for the Case of Variable Profit

  • Peter Brusov,
  • Tatiana Filatova,
  • Natali Orekhova,
  • Veniamin Kulik,
  • She-I Chang and
  • George Lin

3 June 2021

For the first time we have generalized the world-famous theory by Nobel Prize winners Modigliani and Miller for the case of variable profit, which significantly extends the application of the theory in practice, specifically in business valuation, ra...

  • Article
  • Open Access
2 Citations
3,145 Views
26 Pages

3 June 2021

We introduce a new methodology for anomaly detection (AD) in multichannel fast oscillating signals based on nonparametric penalized regression. Assuming the signals share similar shapes and characteristics, the estimation procedures are based on the...

  • Article
  • Open Access
22 Citations
4,327 Views
21 Pages

Model of Evaluation and Selection of Expert Group Members for Smart Cities, Green Transportation and Mobility: From Safe Times to Pandemic Times

  • Miroslav Kelemen,
  • Volodymyr Polishchuk,
  • Beáta Gavurová,
  • Róbert Rozenberg,
  • Juraj Bartok,
  • Ladislav Gaál,
  • Martin Gera and
  • Martin Kelemen

3 June 2021

This paper presents the development of technologies to support the decision-making of local government executives and smart city concept managers in selecting and evaluating the competencies of new members for advisory groups for solving problems tha...

  • Article
  • Open Access
119 Citations
23,410 Views
40 Pages

A Review of Software for Spatial Econometrics in R

  • Roger Bivand,
  • Giovanni Millo and
  • Gianfranco Piras

2 June 2021

The software for spatial econometrics available in the R system for statistical computing is reviewed. The methods are illustrated in a historical perspective, highlighting the main lines of development and employing historically relevant datasets in...

  • Article
  • Open Access
11 Citations
3,402 Views
13 Pages

2 June 2021

The main aim of the paper is to establish the crossing numbers of the join products of the paths and the cycles on n vertices with a connected graph on five vertices isomorphic to the graph K1,1,3\e obtained by removing one edge e incident with some...

  • Article
  • Open Access
3 Citations
2,428 Views
18 Pages

2 June 2021

This paper examines some approaches to modeling and managing traffic flows in modern megapolises and proposes using the methods and approaches of the percolation theory. The author sets the task of determining the properties of the transport network...

  • Article
  • Open Access
3 Citations
4,376 Views
20 Pages

Fire Risk Sub-Module Assessment under Solvency II. Calculating the Highest Risk Exposure

  • Elena Badal-Valero,
  • Vicente Coll-Serrano and
  • Jorge Segura-Gisbert

2 June 2021

The European Directive 2009/138 of Solvency II requires adopting a new approach based on risk, applying a standard formula as a market proxy in which the risk profile of insurers is fundamental. This study focuses on the fire risk sub-module, framed...

  • Article
  • Open Access
9 Citations
4,500 Views
22 Pages

2 June 2021

In the competitive market environment, the growth of new energy vehicles (NEVs) faces many obstacles. Demand subsidy or production regulation-related policies are widely used to promote the development of NEVs. A comparative analysis of the effects o...

  • Article
  • Open Access
3 Citations
2,428 Views
10 Pages

1 June 2021

For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of...

  • Article
  • Open Access
3 Citations
2,599 Views
9 Pages

1 June 2021

Memory devices based on floating-gate transistor have recently become dominant technology for non-volatile storage devices like USB flash drives, memory cards, solid-state disks, etc. In contrast to many communication channels, the errors observed in...

  • Article
  • Open Access
2 Citations
3,548 Views
26 Pages

1 June 2021

Partial least squares structural equation modelling has proven very valuable to study the unexplored and complex public service innovation networks (PSINs) in the public sector, from a socio-economic stance. Web have modelled PSINs’ three structural...

  • Review
  • Open Access
11 Citations
3,387 Views
16 Pages

1 June 2021

Optimization problems in the fuzzy environment are widely studied in the literature. We restrict our attention to mathematical programming problems with coefficients and/or decision variables expressed by fuzzy numbers. Since the review of the recent...

  • Article
  • Open Access
3 Citations
2,761 Views
33 Pages

1 June 2021

The aim of this paper is to choose the effective selling channel and reverse channel for a closed-loop supply chain (CLSC) with the e-commerce. The authors formulated six single-selling and dual-selling channel two-period CLSC models in which the man...

  • Review
  • Open Access
1 Citations
4,870 Views
27 Pages

The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results

  • Alexander Apelblat,
  • Armando Consiglio and
  • Francesco Mainardi

1 June 2021

The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman functio...

  • Article
  • Open Access
20 Citations
3,407 Views
17 Pages

Nonlinear Mixed Convective Flow over a Moving Yawed Cylinder Driven by Buoyancy

  • Prabhugouda M. Patil,
  • Hadapad F. Shankar and
  • Mikhail A. Sheremet

1 June 2021

The fluid flow over a yawed cylinder is useful in understanding practical significance for undersea applications, for example, managing transference and/or separation of the boundary layer above submerged blocks and in suppressing recirculating bubbl...

  • Article
  • Open Access
5 Citations
2,906 Views
9 Pages

1 June 2021

In this paper, we focus on some geometrical properties of the partially null slant helices in semi-Euclidean 4-space. By structuring suitable height functions, we obtain the singularity types of the pseudonull hypersurfaces, which are generated by th...

  • Article
  • Open Access
1 Citations
3,227 Views
27 Pages

31 May 2021

This article introduces the possible usage of the developed programming discourse that can be used to support training in the digital logic area. The discourse merges several programming paradigms into one solution. The intended learners are secondar...

  • Article
  • Open Access
10 Citations
3,963 Views
14 Pages

Involutes of Pseudo-Null Curves in Lorentz–Minkowski 3-Space

  • Rafael López,
  • Željka Milin Šipuš,
  • Ljiljana Primorac Gajčić and
  • Ivana Protrka

31 May 2021

In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null curves are spacelike curves with null principal normals, and their involutes can be defined analogously as for the Euclidean curves, but they exhibit...

  • Article
  • Open Access
19 Citations
4,183 Views
17 Pages

31 May 2021

A single-server non-pre-emptive priority queueing system of a finite capacity with many types of customers is analyzed. Inter-arrival times can be correlated and batch arrivals are allowed. Possible unreliability of the server, implying the loss of a...

  • Article
  • Open Access
6 Citations
2,875 Views
19 Pages

31 May 2021

Many problems of practical interest can be modeled and solved by using fuzzy graph (FG) algorithms. In general, fuzzy graph theory has a wide range of application in various fields. Since indeterminate information is an essential real-life problem an...

  • Article
  • Open Access
10 Citations
3,076 Views
17 Pages

Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

  • Francisco G. Montoya,
  • Raúl Baños,
  • Alfredo Alcayde,
  • Francisco Manuel Arrabal-Campos and
  • Javier Roldán Pérez

31 May 2021

This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric alg...

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Mathematics - ISSN 2227-7390