University of KashanMathematics Interdisciplinary Research2538-36395120200301Zagreb Indices and Coindices of Total Graph, Semi-Total Point Graph and Semi-Total Line Graph of Subdivision Graphs1129558810.22052/mir.2018.134814.1103ENHarishchandra S.RamaneDepartment of Mathematics,
Karnatak University,
Dharwad, IndiaSaroja Y.TalwarDepartment of Mathematics,
Karnatak University,
Dharwad, IndiaIvanGutmanFaculty of Science,
University of Kragujevac,
Kragujevac, SerbiaJournal Article20180605Expressions for the Zagreb indices and coindices of the total graph, semi-total point graph and of semi-total line graph of subdivision graphs in terms of the parameters of the parent graph are obtained, thus generalizing earlier existing results.https://mir.kashanu.ac.ir/article_95588_beb81a85be57455f29b1a0a7dec61bd4.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200301Some Graph Polynomials of the Power Graph and its Supergraphs13229695910.22052/mir.2019.173747.1121ENAsmaHamzehProperty and Casualty (Non-life) Insurance Research Group, Insurance Research Center, Tehran, Iran0000-0001-7736-7626Journal Article20190303In this paper, exact formulas for the dependence, independence, vertex cover and clique polynomials of the power graph and its supergraphs for certain finite groups are presented.https://mir.kashanu.ac.ir/article_96959_b6e64d2437a2e69156ba43083ceabd35.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200301A Mathematical Model for Evaluating the Efficiency of the University of Kashan’s Faculties23324925710.22052/mir.2017.89450.1066ENMostafaDavtalab-OlyaieDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranSaeedMalekiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranJournal Article20170614Efficiency evaluation of units has been of interest since many years in different domains such as management, economy, business, banking, and many others. Data envelopment analysis is one of the popular operations research methods for measuring the relative efficiency of units, which use multiple inputs to produce multiple outputs. As we know, universities play a key role in many aspects of a country such as industry, economic, training and many others. Therefore, evaluating the efficiency of the departments of a specific university is vital for effective allocation and utilization of educational resources, and consequently for enhancing its overall performance.<br />In this paper, we try to identify teaching and research strengths and weaknesses of each department of university of Kashan and to provide a powerful tool for a fair comparison. To do this, we first determine the effective input and output variables for each teaching and research components. We then present a DEA model to evaluate both relative teaching and research efficiencies of each department of university of Kashan.https://mir.kashanu.ac.ir/article_49257_4c1a0f73c44d0062e5a482a276514d80.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200301Structure of the Fixed Point of Condensing Set-Valued Maps33415482810.22052/mir.2017.95130.1072ENZeinabSoltaniDepartment of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Kashan,
Kashan, 87317-53153, IranJournal Article20170811In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.https://mir.kashanu.ac.ir/article_54828_a3a52a4223907b65fdd6d42909995c7c.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200301On the Estrada Index of Seidel Matrix435410769910.22052/mir.2019.179267.1128ENMardjanHakimi-NezhaadDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran0000-0002-4638-6565ModjtabaGhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, TehranJournal Article20190417Let <em>G</em> be a simple graph with <em>n</em> vertices and with the Seidel matrix <em>S</em>. Suppose μ<sub>1</sub>, μ<sub>2</sub>,..., μ<sub>n</sub> are the Seidel eigenvalues of <em>G</em>. The Estrada index of the Seidel matrix of <em>G</em> is defined as SEE(G)=∑<sup>n</sup><sub>i=1</sub> e<sup>μ</sup><sub>i</sub>. In this paper, we compute the Estrada index of the Seidel matrix of some known graphs. Also, some bounds for the Seidel energy of graphs are given.https://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200301Random Walk Modeling for Retrieving Information on Semantic Networking557010770010.22052/mir.2020.210794.1186ENMeghdadAbarghouei NejadDepartment of computational cognitive modeling, Institute of cognitive science study, Tehran, Iran0000-0001-5819-3106AzizollahMemarianiDepartment of financial mathematic,
kharazmi university, Tehran, Iran.0000-0002-5087-2793JavadHatamiUniversity of Tehran,Institute for cognitive sciences studiesMasoudAsadpourDepartment of computational cognitive modeling,
Institute of cognitive science study,
Tehran, Iran.Journal Article20191215In this article, the famous random walk model is exploited as a model of stochastic processes to retrieve some specific words which are used in social media by users. By spreading activation on semantic networking, this model can predict the probability of the words' activation, including all probabilities in different steps. In fact, the trend of probability in different steps is shown and the result of two different weights, when the steps tend to infinity is compared. In addition, it is shown that the results of the random walk model are aligned with the experimental psychological tests, showing that, as a model for semantic memory, it is a suitable model for retrieving in social media.https://mir.kashanu.ac.ir/article_107700_0dbfd67b46a87677d04d1457247bba15.pdf