University of KashanMathematics Interdisciplinary Research2538-36395120200601Zagreb 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.http://mir.kashanu.ac.ir/article_95588_beb81a85be57455f29b1a0a7dec61bd4.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200601Some 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.http://mir.kashanu.ac.ir/article_96959_b6e64d2437a2e69156ba43083ceabd35.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200601A 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.http://mir.kashanu.ac.ir/article_49257_4c1a0f73c44d0062e5a482a276514d80.pdfUniversity of KashanMathematics Interdisciplinary Research2538-36395120200601Structure 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.http://mir.kashanu.ac.ir/article_54828_a3a52a4223907b65fdd6d42909995c7c.pdf