Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001Co-even domination number of a modified graph by operations on a vertex or an edge289295545710.22060/ajmc.2024.22929.1204ENNimaGhanbariDepartment of Mathematical Sciences, Yazd University, 89195-741, Yazd, IranSaeidAlikhaniDepartment of Mathematical Sciences, Yazd University, 89195-741, Yazd, IranMohammad AliDehghanizadehDepartment of Basic Sciences, Technical and Vocational University(TVU), Tehran, IranJournal Article20240116Let $G=(V,E)$ be a simple graph. A dominating set of $G$ is a subset $D\subseteq V$ such that every vertex not in $D$ is adjacent to at least one vertex in $D$. The cardinality of a smallest dominating set of $G$, denoted by $\gamma(G)$, is the domination number of $G$. A dominating set $D$ is called co-even dominating set if the degree of vertex $v$ is even number for all $v\in V\setminus D$. The cardinality of a smallest co-even dominating set of $G$, denoted by $\gamma _{coe}(G)$, is the co-even domination number of $G$. In this paper, we study co-even domination number of graphs which constructed by some operations on a vertex or an edge of a graph.https://ajmc.aut.ac.ir/article_5457_6d22b7f34953426f4364a3f8d13e5107.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001DRP-VEM: Drug repositioning using voting ensemble model297310542910.22060/ajmc.2024.23048.1223ENZahraGhorbanaliComputational Biology Research Center (CBRC), Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranFatemehZare MirakabadComputational Biology Research Center (CBRC), Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranBahramMohammadpourComputational Biology Research Center (CBRC), Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranJournal Article20240309Conventional approaches to drug discovery are both expensive and time-intensive. To circumvent these challenges, drug repurposing or repositioning (DR) has emerged as a prevalent strategy. A noteworthy advancement in this field involves the widespread application of machine learning techniques. The effectiveness of these methods depends on the quality of features, their representations, and the underlying dataset. Notably, the issue of redundancy in feature sets can detrimentally impact the overall performance of these methods. Furthermore, the careful selection of a suitable training set plays a pivotal role in enhancing the accuracy of machine learning approaches in addressing drug repurposing challenges. Discovering the appropriate training set faces two significant challenges. Firstly, many methods utilize known drug-disease pairs for positives and unknown pairs for negatives. The stark imbalance in the number of known and unknown pairs often results in a bias towards the larger group, introducing errors in machine learning performance. Secondly, the absence of a documented drug-disease association indicates that it hasn't been experimentally approved yet, and this status may change in the future. This paper introduces DRP-VEM, a novel approach designed for predicting drug repositioning, specifically customized to tackle the challenges previously outlined. DRP-VEM evaluates the effectiveness of binary-based and similarity-based representations of drugs and diseases in enhancing the model's performance. Additionally, it proposes a voting ensemble training strategy, adept at managing imbalanced datasets. The assessment of DRP-VEM spans a range of parameters, including its efficacy in representing both diseases and drugs, the proficiency of its classification methods, and the application of voting ensemble training approaches using heterogeneous evaluation criteria. Significantly, DRP-VEM achieves an AUC-ROC of 81.8\% and AUC-PR of 76.6\%. Comparative analysis with other studies highlights the superior performance of the proposed model, underscoring its effectiveness in drug repositioning prediction.https://ajmc.aut.ac.ir/article_5429_282a6d8602bb00c13d2d491dbaf0425e.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001Zero product determined of abstract Segal algebras311315572410.22060/ajmc.2025.23820.1310ENMortezaEssmailiDepartment of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, IranRahmatollahRajaenejadDepartment of Mathematics, Faculty of Mathematical and Computer Sciences, Kharazmi University, Tehran, IranJournal Article20250108At the present article, we investigate the notion of zero product determined for category of abstract Segal algebras. Indeed, where $\mathfrak{X}$ is an abstract segal algebra with respect to $\mathfrak{A},$ we prove that under some conditions this notion inherits from $\mathfrak{X}$ to $\mathfrak{A}.$ Applying these results, we obtain some sufficient conditions in which the Fourier algebra $A(\mathfrak{G})$ is zero product determined, when $\mathfrak{G}$ is a locally compact group.https://ajmc.aut.ac.ir/article_5724_4629179d7d19bc438b0c1823db0bf5d0.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight317326541210.22060/ajmc.2024.22990.1213ENMehdiLatifiDepartment of Basic Sciences, Khatam-Ol-Anbia (PBA) University, Tehran, IranMohsenAlimohammadyDepartment of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar 47416-1468, IranJournal Article20240215This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition. The variable exponent theory of generalized Lebesgue-Sobolev spaces, mountain pass theorem and Ekeland variational principle are used for this purpose.https://ajmc.aut.ac.ir/article_5412_5d149fe3aa481b7be8c9cdf27c6ff46b.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001The chi-square statistic as an income inequality index327340541310.22060/ajmc.2024.22945.1205ENShahryarMirzaeiDepartment of Statistics, Payame Noor University, Tehran, IranSeyed MahdiAmir JahanshahiDepartment of Statistics, University of Sistan and Baluchestan, Zahedan, IranJournal Article20240127This article presents a novel concept known as the chi-square inequality index, developed through the utilization of the chi-square distance function. The study delves into the essential characteristics necessary for an effective inequality index. Additionally, a detailed formulation for the chi-square inequality curve is provided within key inequality models. A comparative analysis between the chi-square curve and the conventional Lorenz curve is conducted. Furthermore, a stochastic order based on the chi-square inequality curve is introduced. The research includes a simulation analysis to explore the statistical properties of the proposed sampling estimator. To conclude, the article highlights the effectiveness of this index through an application to real-world data.https://ajmc.aut.ac.ir/article_5413_94402f14a43f597dc18ae96d1bf1615e.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001Weighted composition, Stević-Sharma, Volterra integral and integral type operators between Dirichlet-Zygmund spaces341351554610.22060/ajmc.2024.22491.1161ENSepidehNasresfahaniDepartment of pure mathematics, Faculty of mathematics and statistics, University of Isfahan, Isfahan, IranAlirezaParviziDepartment of Architecture, Sepehr Daneshe Moaser Institute of Higher Education, Isfahan, IranJournal Article20230619In this paper, we study the boundedness and compactness of weighted composition operators between Dirichlet-Zygmund spaces. We also briefly investigate boundedness and compactness of the Stevi\'c-Sharma, Volterra-integral and integral-type operators between Dirichlet-Zygmund spaces.https://ajmc.aut.ac.ir/article_5546_7684b963eb03db943f5967d4fde7208c.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001SCAD regression model selection with information criteria for multivariate response models353360546010.22060/ajmc.2024.22963.1208ENAmirhosseinGhatariDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), IranOmidNaghshineh ArjmandDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), IranMinaAminghafariDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), IranJournal Article20240203This paper provides an objective function for smoothly clipped absolute deviation (SCAD) regression models with multivariate responses. The log-likelihood of a multivariate normal distribution is considered instead of $L_2$ norm to create the model's objective function. Additionally, the SCAD penalty has a tuning parameter, and the information criteria, suitable for the proposed model are presented to select the tuning parameter. Based on numerical studies, the consistency of the proposed information criteria is checked via simulation experiments. Moreover, the best criterion is introduced using simulated and real datasets.https://ajmc.aut.ac.ir/article_5460_9c9106264de1199db28e8f79876b64c4.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24496420251001Geometry of Ricci solitons admitting a new geometric vector field361370548610.22060/ajmc.2024.23142.1234ENFarzanehShamkhaliDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, IranGhodratallahFasihi RamandiDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, IranShahroudAzamiDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, IranJournal Article20240428In the present paper, we introduce a new geometric vector field (it will be called semi-Killing field) on semi-Riemannaian manifolds. A complete classification of semi-Killing vector fields on 3-dimensional Walker manifolds will be derived. Then, we study Ricci solitons admitting this new vector field (called semi-Killing vector field) as their potential. In Riemannain setting, we prove that Ricci solitons with semi-Killing potential vector field are Einstein. Our results show that such Lorentzian solitons have constant scalar curvature. Finally, application of this new structure in theoretical physics has been investigated.https://ajmc.aut.ac.ir/article_5486_aadf8566ef4efda123c114f213918ab9.pdf