Mathematics Interdisciplinary ResearchMathematics Interdisciplinary Research
http://mir.kashanu.ac.ir/
Sun, 15 Dec 2019 23:51:42 +0100FeedCreatorMathematics Interdisciplinary Research
http://mir.kashanu.ac.ir/
Feed provided by Mathematics Interdisciplinary Research. Click to visit.Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation
http://mir.kashanu.ac.ir/article_33673_0.html
By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits. In different parametric regions, different types of trav- elling wave solutions such as solitary wave solutions, cusp solitary wave solutions, kink(anti kink) wave solutions and periodic wave solutions are simulated. Also in each parameter bifurcation sets, we obtain the exact explicit parametric representation of all travelling wave solutions.Sat, 01 Oct 2016 20:30:00 +0100Mathematical Chemistry Works of Dragos Cvetkovic
http://mir.kashanu.ac.ir/article_95507_11775.html
‎In addition to his countless contributions to spectral graph theory‎, some works of Dragos Cvetkovic are concerned with chemical problems‎. These are briefly outlined‎, ‎with emphasis on his collaboration with‎ the present author‎.Sat, 30 Nov 2019 20:30:00 +0100On the Configurations with n Points and Two Distances
http://mir.kashanu.ac.ir/article_45816_0.html
In this paper we investigate the geometric structures of M(n, 2) containing n points in R^3 having two distinct distances. We will show that up to pseudo-equivalence there are 5 constructible models for M(4, 2) and 17 constructible models for M(5, 2).Mon, 08 May 2017 19:30:00 +0100Seidel Integral Complete Split Graphs
http://mir.kashanu.ac.ir/article_96006_11775.html
In the paper we consider a generalized join operation, that is, the H-join on graphs where H is an arbitrary graph. In terms of Seidel matrix of graphs we determine the Seidel spectrum of the graphs obtained by this operation on regular graphs. Some additional consequences regarding S-integral complete split graphs are also obtained, which allows to exhibit many infinite families of Seidel integral complete split graphs.Sat, 30 Nov 2019 20:30:00 +0100The Non-Coprime Graph of Finite Groups
http://mir.kashanu.ac.ir/article_87414_0.html
The non-coprime graph Π_G of a finite group G is a graph with the vertex set G-{e}, where two distinct vertices u and v are adjacent if they have non-coprime orders. In this paper, the main properties of the Cartesian and tensor product of the non-coprime graph of two finite groups are investigated. We also describe the non-coprime graph of some special groups including the dihedral and semi-dihedral groups. Some open questions are also proposed.Fri, 30 Nov 2018 20:30:00 +0100Oboudi-Type Bounds for Graph Energy
http://mir.kashanu.ac.ir/article_96938_11775.html
The graph energy is the sum of absolute values of the eigenvalues of the (0, 1)-adjacency matrix. Oboudi recently obtained lower bounds for graph energy, depending on the largest and smallest graph eigenvalue. In this paper, a few more Oboudi-type bounds are deduced.Sat, 30 Nov 2019 20:30:00 +0100A Mathematical Model for Evaluating the Efficiency of the University of Kashan’s Faculties
http://mir.kashanu.ac.ir/article_49257_0.html
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.Fri, 11 Aug 2017 19:30:00 +0100Structure of the Fixed Point of Condensing Set-Valued Maps
http://mir.kashanu.ac.ir/article_54828_0.html
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.Mon, 01 Jan 2018 20:30:00 +0100Trees with Extreme Values of Second Zagreb Index and Coindex
http://mir.kashanu.ac.ir/article_64769_0.html
In this paper we present a generalization of the aforementioned bound for all trees in terms of the order and maximum degree. We also give a lower bound on the second Zagreb coindex of trees.Wed, 20 Jun 2018 19:30:00 +0100Golden Ratio: The Mathematics of Beauty
http://mir.kashanu.ac.ir/article_89245_0.html
‎Historically, mathematics and architecture have been associated with one another. Ratios are good example of this interconnections. The origin of ratios can be found in nature, which makes the nature so attractive. As an example, consider the architecture inspired by flowers which seems so harmonic to us. In the same way, the architectural plan of many well-known historical buildings such as mosques and bridges show a rhythmic balance which according to most experts the reason lies in using the ratios. The golden ratio has been used to analyze the proportions of natural objects as well as building’s harmony. In this paper, after recalling the (mathematical) definition of the golden ratio, its ability to describe the harmony in the nature are discussed. When teaching mathematics in the schools, one may refer to this interconnection to encourage students to feel better with mathematics and deepen their understanding of proportion. At the end, the golden ratio has been statistically examined using its first 100000 decimal digits to show that the golden ratio decimals can be used as a random number generator.Tue, 18 Jun 2019 19:30:00 +0100Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of ...
http://mir.kashanu.ac.ir/article_93285_0.html
In this paper, numerical techniques are presented for solving system of nonlinear integro-differential equations. The method is implemented by applying hybrid of Legendre polynomials and block-pulse functions. The operational matrix of integration and the integration of the cross product of two hybrid function vectors are derived in order to transform the system of nonlinear integro-differential equations into a system of algebraic equations. Finally, the accuracy of the method is illustrated through some numerical examples and the corresponding results are presented.Mon, 16 Sep 2019 19:30:00 +0100Zagreb Indices and Coindices of Total Graph, Semi-Total Point Graph and Semi-Total Line Graph ...
http://mir.kashanu.ac.ir/article_95588_0.html
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.Mon, 21 Oct 2019 20:30:00 +0100Numerical Calculation of Fractional Derivatives for the Sinc Functions via Legendre Polynomials
http://mir.kashanu.ac.ir/article_96936_0.html
‎This paper provides the fractional derivatives of‎ ‎the Caputo type for the sinc functions‎. ‎It allows to use efficient‎ ‎numerical method for solving fractional differential equations‎. ‎At‎ ‎first‎, ‎some properties of the sinc functions and Legendre‎ ‎polynomials required for our subsequent development are given‎. ‎Then‎ ‎we use the Legendre polynomials to approximate the fractional‎ ‎derivatives of sinc functions‎. ‎Some numerical examples are‎ ‎introduced to demonstrate the reliability and effectiveness of the‎ ‎introduced method‎.Sat, 30 Nov 2019 20:30:00 +0100Some Graph Polynomials of the Power Graph and its Supergraphs
http://mir.kashanu.ac.ir/article_96959_0.html
‎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.Sun, 01 Dec 2019 20:30:00 +0100