Zagreb Indices and Coindices of Total Graph, Semi-Total Point Graph and Semi-Total Line Graph of Subdivision Graphs
Harishchandra S.
Ramane
Department of Mathematics,
Karnatak University,
Dharwad, India
author
Saroja Y.
Talwar
Department of Mathematics,
Karnatak University,
Dharwad, India
author
Ivan
Gutman
Faculty of Science,
University of Kragujevac,
Kragujevac, Serbia
author
text
article
2020
eng
Expressions 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
1
12
http://mir.kashanu.ac.ir/article_95588_beb81a85be57455f29b1a0a7dec61bd4.pdf
dx.doi.org/10.22052/mir.2018.134814.1103
Some Graph Polynomials of the Power Graph and its Supergraphs
Asma
Hamzeh
Property and Casualty (Non-life) Insurance Research Group, Insurance Research Center, Tehran, Iran
author
text
article
2020
eng
In 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
13
22
http://mir.kashanu.ac.ir/article_96959_b6e64d2437a2e69156ba43083ceabd35.pdf
dx.doi.org/10.22052/mir.2019.173747.1121
A Mathematical Model for Evaluating the Efficiency of the University of Kashan’s Faculties
Mostafa
Davtalab-Olyaie
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
author
Saeed
Maleki
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
author
text
article
2020
eng
Efficiency 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. 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
23
32
http://mir.kashanu.ac.ir/article_49257_4c1a0f73c44d0062e5a482a276514d80.pdf
dx.doi.org/10.22052/mir.2017.89450.1066
Structure of the Fixed Point of Condensing Set-Valued Maps
Zeinab
Soltani
Department of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Kashan,
Kashan, 87317-53153, Iran
author
text
article
2020
eng
In 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
33
41
http://mir.kashanu.ac.ir/article_54828_a3a52a4223907b65fdd6d42909995c7c.pdf
dx.doi.org/10.22052/mir.2017.95130.1072
On the Estrada index of Seidel Matrix
Mardjan
Hakimi-Nezhaad
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran
author
Modjtaba
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran
author
text
article
2020
eng
Let G be a simple graph with n vertices and with the Seidel matrix S. Suppose μ1, μ2,..., μn are the Seidel eigenvalues of G. The Estrada index of the Seidel matrix of G is defined as SEE(G)=\sum_{i=1}^{n} eμi. 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
43
54
http://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdf
dx.doi.org/10.22052/mir.2019.179267.1128
Random walk modeling for retrieving information on semantic networking
Meghdad
Abarghouei Nejad
Department of computational cognitive modeling, Institute of cognitive science study, Tehran, Iran
author
Azizollah
Memariani
Department of financial mathematic,
kharazmi university, Tehran, Iran.
author
Javad
Hatami
University of Tehran,Institute for cognitive sciences studies
author
Masoud
Asadpour
Department of computational cognitive modeling,
Institute of cognitive science study,
Tehran, Iran.
author
text
article
2020
eng
In 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.
Mathematics Interdisciplinary Research
University of Kashan
2538-3639
5
v.
1
no.
2020
55
70
http://mir.kashanu.ac.ir/article_107700_0dbfd67b46a87677d04d1457247bba15.pdf
dx.doi.org/10.22052/mir.2020.210794.1186