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Optimal Algorithms for Integer Inverse Undesirable p-Median Location Problems on Weighted Extended Star Networks

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Journal of the Operations Research Society of China 2021年第1期9卷 99-117页

作者： Esmaeil Afrashteh Behrooz Alizadeh Fahimeh Baroughi department of applied mathematics Faculty of Basic SciencesSahand University of TechnologyTabrizIran

This paper is concerned with the problem of modifying the edge lengths of a weighted extended star network with n vertices by integer amounts at the minimum total cost subject to be given modification bounds so that a set of p prespecified vertices becomes an undesirable p-median location on the perturbed *** call this problem as the integer inverse undesirable p-median location *** combinatorial algorithms with O(p2n logn)and O(p2(n logn+n log nmax))running times are proposed for solving the problem under the weighted rectilinear and weighted Chebyshev norms,***,it is shown that the problem under the weighted sum-type Hamming distance with uniform modification bounds can be solved in O(p-n log n)time.

关键词： Undesirable p-median location Combinatorial optimization Inverse optimization Time complexity

Group Distance Magic and Antimagic Graphs

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Acta Mathematica Sinica,English Series 2016年第10期32卷 1159-1176页

作者： S.CICHACZ D.FRONCEK K.SUGENG Sanming ZHOU AGH University of Science and Technology Faculty of Applied Mathematics department of mathematics and statistics University of Minnesota Duluth department of mathematics Faculty of Mathematics and Natural SciencesUniversity of Indonesia School of mathematics and statistics The University of Melbourne

Given a graph G with n vertices and an Abelian group A of order n, an A-distance antimagic labelling of G is a bijection from V（G） to A such that the vertices of G have pairwise distinct weights, where the weight of a vertex is the sum （under the operation of A） of the labels assigned to its neighbours. An A-distance magic labelling of G is a bijection from V（G） to A such that the weights of all vertices of G are equal to the same element of A. In this paper we study these new labellings under a general setting with a focus on product graphs. We prove among other things several general results on group antimagic or magic labellings for Cartesian, direct and strong products of graphs. As applications we obtain several families of graphs admitting group distance antimagic or magic labellings with respect to elementary Abelian groups, cyclic groups or direct products of such groups.

关键词： Distance magic labelling distance antimagic labelling group labelling

Numerical Analysis of Unsteady Magneto-Biphase Williamson Fluid Flow with Time Dependent Magnetic Field

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Communications in Theoretical Physics 2019年第2期71卷 143-151页

作者： Madiha Bibi M.Y.Malik A.Zeeshan department of mathematics College of Sciences P.O.Box 9004 King Khalid University department of mathematics Quaid-I-Azam University department of mathematics and statistics Faculty of Basic and Applied Sciences International Islamic University

Numerical investigation of the dusty Williamson fluid with the dependency of time has been done in current disquisition. The flow of multiphase liquid/particle suspension saturating the medium is caused by stretching of porous surface. The influence of magnetic field and heat generation/absorption is observed. It is assumed that particle has a spherical shape and distributed uniformly in fluid matrix. The unsteady two-dimensional problems are modeled for both fluid and particle phase using conservation of mass, momentum and heat transfer. The finalized model generates the non-dimensioned parameters, namely Weissenberg number, unsteadiness parameter, magnetic parameter,heat generation/absorption parameter, Prandtl number, fluid particle interaction parameter, and mass concentration parameters. The numerical solution is obtained. Locality of skin friction and Nusselt number is deliberately focused to help of tables and graphs. While inferencing the current article it is clearly observed that increment of Williamson parameter, unsteadiness parameter, magnetic parameter, volume fraction parameter, and mass concentration parameter reduces the velocity profile of fluid and solid particles as well. And increment of Prandtl number, unsteadiness parameter,volume fraction parameter, and mass concentration parameter reduces the temperature profile of fluid and solid particles as well.

关键词： unsteady flow multiphase Williamson fluid variable magnetic field permeable wall heat source/sink

Impact of Internal Heat Source on Mixed Convective Transverse Transport of Viscoplastic Material under Viscosity Variation

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Communications in Theoretical Physics 2018年第10期70卷 423-429页

作者： R.Tabassum R.Mehmood E.N.Maraj department of mathematics Faculty of Basic and Applied Sciences Air UniversityIslamabad Pakistan department of mathematics Faculty of Natural Sciences HITEC UniversityTaxila Cantt Pakistan

This communication addresses the impact of heat source/sink along with mixed convection on oblique flow of Casson fluid having variable viscosity. Similarity analysis has been utilized to model governing equations, which are simplified to set of nonlinear differential equations. Computational procedure of shooting algorithm along with 4 th order Range-Kutta-Fehlberg scheme is opted to attain the velocity and temperature distributions. Impact of imperative parameters on Casson fluid flow, temperature, significant physical quantities such as skin friction, local heat flux and streamlines are displayed via graphs.

关键词： oblique stagnation point flow variable viscosity partial slip mix convection heat generation/absorption Runge-Kutta Fehlberg scheme

On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

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Numerical mathematics(Theory,Methods and Applications) 2024年第1期17卷 69-92页

作者： Raziyeh Erfanifar Masoud Hajarian Khosro Sayevand department of applied mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityTehranIran faculty of mathematics and statistics Malayer UniversityMalayerIran

This study aims to investigate the polar decomposition of tensors with the Einstein product for theﬁrst *** polar decomposition of tensors can be computed using the singular value decomposition of the tensors with the Einstein *** the following,some iterative methods forﬁnding the polar decomposi-tion of matrices have been developed into iterative methods to compute the polar decomposition of ***,we propose a novel parametric iterative method toﬁnd the polar decomposition of *** the obtained conditions,we prove that the proposed parametric method has the order of convergence *** every iteration of the proposed method,only four Einstein products are required,while other iterative methods need to calculate multiple Einstein products and one tensor inversion in each ***,the new method is superior in terms of efﬁciency ***,the numerical comparisons performed among several well-known methods,show that the proposed method is remarkably efﬁcient and accurate.

关键词： Iterative methods Einstein product polar decomposition of a tensor polar factor order of convergence

A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

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Numerical mathematics(Theory,Methods and Applications) 2024年第1期17卷 37-68页

In this study,based on an iterative method to solve nonlinear equations,a third-order convergent iterative method to compute the Moore-Penrose inverse of a tensor with the Einstein product is presented and *** compar-isons of the proposed method with other methods show that the average number of iterations,number of the Einstein products,and CPU time of our method are considerably less than other *** some applications,partial and fractional differential equations that lead to sparse matrices are considered as *** use the iterates obtained by the method as a preconditioner,based on tensor form to solve the multilinear system A∗N X=***,several practical numerical examples are also given to display the accuracy and efﬁciency of the new *** presented results show that the proposed method is very robust for obtaining the Moore-Penrose inverse of tensors.

关键词： Tensor iterative methods Moore-Penrose inverse Einstein product

Combinatorial Algorithms for Reverse Selective Undesirable Center Location Problems on Cycle Graphs

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Journal of the Operations Research Society of China 2017年第3期5卷 347-361页

作者： Roghayeh Etemad Behrooz Alizadeh department of applied mathematics Faculty of Basic SciencesSahand University of TechnologyTabrizIran

This paper deals with a general variant of the reverse undesirable(obnoxious)center location problem on cycle *** a‘selective’subset of the vertices of the underlying cycle graph as location of the existing customers,the task is to modify the edge lengths within a given budget such that the minimum of distances between a predetermined undesirable facility location and the customer points is maximized under the perturbed edge *** develop a combinatorial O(n log n)algorithm for the problem with continuous *** the uniform-cost model,we solve this problem in linear time by an improved ***,exact solution methods are proposed for the problem with integer modifications.

关键词： Undesirable center location Reverse optimization Combinatorial optimization Time complexity

Decoding molecular mechanisms:brain aging and Alzheimer's disease

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Neural Regeneration Research 2025年第8期20卷 2279-2299页

作者： Mahnoor Hayat Rafay Ali Syed Hammad Qaiser Mohammad Uzair Khalid Al-Regaiey Roaa Khallaf Lubna Abdullah Mohammed Albassam Imdad Kaleem Xueyi Wang Ran Wang Mehwish SBhatti Shahid Bashir Atta-ur-Rahman School of applied Biosciences(ASAB) National University of Sciences and Technology(NUST)IslamabadPakistan department of Biotechnology Quaid-i-Azam UniversityIslamabadPakistan department of Biological sciences Faculty of Basic&Applied SciencesInternational Islamic University Islamabad(IIUI)IslamabadPakistan department of Bioengineering King Fahd University of Petroleum and MineralsDhahranSaudi Arabia department of Physiology College of MedicineKing Saud UniversityRiyadhSaudi Arabia department of Neurology Neuroscience CenterKing Fahad Specialist HospitalDammamSaudi Arabia department of Mental Health Neuroscience CenterKing Fahad Specialist HospitalDammamSaudi Arabia department of Biosciences Commission on Science and Technology for Sustainable Development in the South(COMSATS University)IslamabadPakistan department of Psychiatry The First Hospital of Hebei Medical UniversityShijiazhuangHebei ProvinceChina Mental Health Institute of Hebei Medical University ShijiazhuangHebei ProvinceChina department of Neurobiology and Behavior University of CaliforniaIrvineCAUSA Neuroscience Center King Fahad Specialist Hospital DammamDammamSaudi Arabia

The complex morphological,anatomical,physiological,and chemical mechanisms within the aging brain have been the hot topic of research for *** aging process alters the brain structure that affects functions and cognitions,but the worsening of such processes contributes to the pathogenesis of neurodegenerative disorders,such as Alzheimer's *** these observable,mild morphological shifts,significant functional modifications in neurotransmission and neuronal activity critically influence the aging *** these changes is important for maintaining cognitive health,especially given the increasing prevalence of age-related conditions that affect *** review aims to explore the age-induced changes in brain plasticity and molecular processes,differentiating normal aging from the pathogenesis of Alzheimer's disease,thereby providing insights into predicting the risk of dementia,particularly Alzheimer's disease.

关键词： Alzheimer’s disease brain aging cognitive health dementia molecular mechanisms neuronal activity neuroplasticity neurotransmission

The Blood Flow of Prandtl Fluid Through a Tapered Stenosed Arteries in Permeable Walls with Magnetic Field

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Communications in Theoretical Physics 2015年第3期63卷 353-358页

作者： R.Ellahi S.U.Rahman S.Nadeem K.Vafai department of Mechanical Engineering University of California Riverside department of mathematics and statistics faculty of basic applied sciences International Islamic University department of Mechatronics University of Engineering and Technology TexilaChakwal Campus department of mathematics Quaid-i-Azam University

This Communication deals with the blood flow of Prandtl fluid through a tapered stenosed arteries having permeable *** governing equations of two-dimensional Prandtl fluid model are modelled in cylindrical *** highly nonlinear equations are simplified with the help of non-dimensional variables under the assumption of mild *** solution of reduced nonlinear equation subject to boundary condition of porous walls having the effects of Darcy's number and slip parameter are computed analytically with the help of perturbation *** of emerging parameters such as impedance A,slip parameter a,stenosis height 6,magnetic parameter and stress component Srz on velocity are illustrated *** streamlines have also been presented to discuss the trapping bolus discipline.

关键词： Prandtl fluid magnetic field blood flow tapered stenosed arteries permeable walls analytical solutions