2020-07-14T13:10:17Z
http://mir.kashanu.ac.ir/?_action=export&rf=summon&issue=12958
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
Zagreb Indices and Coindices of Total Graph, Semi-Total Point Graph and Semi-Total Line Graph of Subdivision Graphs
Harishchandra S.
Ramane
Saroja Y.
Talwar
Ivan
Gutman
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.
Zagreb indices
Zagreb coindices
total graph
semi-total point graph
semi-total line graph
subdivision graph
2020
06
01
1
12
http://mir.kashanu.ac.ir/article_95588_beb81a85be57455f29b1a0a7dec61bd4.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
Some Graph Polynomials of the Power Graph and its Supergraphs
Asma
Hamzeh
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.
Dependence polynomial
independence polynomial
vertex cover polynomial
clique polynomial
power graph
2020
06
01
13
22
http://mir.kashanu.ac.ir/article_96959_b6e64d2437a2e69156ba43083ceabd35.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
A Mathematical Model for Evaluating the Efficiency of the University of Kashan’s Faculties
Mostafa
Davtalab-Olyaie
Saeed
Maleki
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.<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.
Data Envelopment Analysis
Efficiency measurement
department's efficiency
2020
06
01
23
32
http://mir.kashanu.ac.ir/article_49257_4c1a0f73c44d0062e5a482a276514d80.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
Structure of the Fixed Point of Condensing Set-Valued Maps
Zeinab
Soltani
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.
fixed point
condensing map
degree theory
2020
06
01
33
41
http://mir.kashanu.ac.ir/article_54828_a3a52a4223907b65fdd6d42909995c7c.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
On the Estrada index of Seidel Matrix
Mardjan
Hakimi-Nezhaad
Modjtaba
Ghorbani
Let <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)=sum_{i=1}^{n} 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.
Seidel matrix
Seidel eigenvalue
Estrada index
2020
06
01
43
54
http://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2020
5
1
Random walk modeling for retrieving information on semantic networking
Meghdad
Abarghouei Nejad
Azizollah
Memariani
Javad
Hatami
Masoud
Asadpour
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.
Semantic networking
Retrieval system
Random walk model
Spreading activation
Social Media
2020
06
01
55
70
http://mir.kashanu.ac.ir/article_107700_0dbfd67b46a87677d04d1457247bba15.pdf