Mathematics Interdisciplinary ResearchMathematics Interdisciplinary Research
http://mir.kashanu.ac.ir/
Sat, 23 Sep 2017 12:35:07 +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 +0100Survey of Graph Energies
http://mir.kashanu.ac.ir/article_46658_4604.html
Let graph energy is a graph--spectrum--based quantity‎, ‎introduced in the 1970s‎. ‎After a latent period of 20--30 years‎, ‎it became a popular topic of research both‎ ‎in mathematical chemistry and in ``pure'' spectral graph theory‎, ‎resulting in‎ ‎over 600 published papers‎. ‎Eventually‎, ‎scores of different graph energies have‎ ‎been conceived‎. ‎In this article we provide the basic facts on graph energies‎, ‎in particular historical and bibliographic data.‎Thu, 31 Aug 2017 19:30:00 +0100Some Structural Properties of Upper and Lower Central Series of Pairs of Groups
http://mir.kashanu.ac.ir/article_45109_0.html
In this paper‎, ‎we first present some properties of lower and upper central series of pair of groups‎. ‎Then the notion of $n$-isoclinism for the classification of pairs of groups is introduced‎, ‎and some of the structural properties of the created classes are proved‎. ‎Moreover some interesting theorems such as Baer Theorem‎, ‎Bioch Theorem‎, ‎Hirsh Theorem for pair of groups are generalized‎. ‎Finally‎, ‎it is shown that each $n$-isoclinism family of pairs contains a quotient irreducible pair‎.Wed, 19 Apr 2017 19:30:00 +0100On Eccentricity Version of Laplacian Energy of a Graph
http://mir.kashanu.ac.ir/article_46665_4604.html
The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian matrix of G and average degree of the vertices of G. Motivated by the work from Sharafdini et al. [R. Sharafdini, H. Panahbar, Vertex weighted Laplacian graph energy and other topological indices. J. Math. Nanosci. 2016, 6, 57-65], in this paper we investigate the eccentricity version of Laplacian energy of a graph G.Wed, 31 May 2017 19:30:00 +0100A Simple Classification of Finite Groups of Order p2q2
http://mir.kashanu.ac.ir/article_45273_0.html
‎Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, ‎respectively‎. ‎In this paper‎, ‎we show that up to isomorphism‎, ‎there are four groups of order p^2q^2 when Q and P are cyclic‎, ‎three groups when Q is a cyclic and P is an elementary ablian group‎, ‎p^2+3p/2+7 groups when Q is an elementary ablian group and P is a cyclic group and finally‎, ‎p‎ + ‎5 groups when both Q and P are elementary abelian groups.‎Mon, 01 May 2017 19:30:00 +0100On Relation Between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs
http://mir.kashanu.ac.ir/article_46678_4604.html
Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ1 ≥ μ2 ≥...≥μn-1 >μn=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as Kf(G)=nΣi=1n-11/μi and LEL(G)=Σi=1n-1 √μi, respectively. In this paper we consider relationship between Kf(G) and LEL(G).Wed, 07 Jun 2017 19:30:00 +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 +0100The Signless Laplacian Estrada Index of Unicyclic Graphs
http://mir.kashanu.ac.ir/article_46679_4604.html
For a graph G, the signless Laplacian Estrada index is dened as SLEE(G) = Σi=1n eqi, where q1, q2,..., qn are the eigenvalues of the signless Laplacian matrix of G. In this paper, we rst characterize the unicyclic graphs with the rst two largest and smallest SLEE and then determine the unique unicyclic graph with maximum SLEE among the unicyclic graphs on n vertices with given diameter. All extremal graphs, which have been introduced in our results are also extremal with respect to the signless Laplacian resolvent energy.Thu, 31 Aug 2017 19:30:00 +0100Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer ...
http://mir.kashanu.ac.ir/article_46680_0.html
We propose that high efficient terahertz (THz) multilayer structures are composed of ‎DSTMS/SiO2 and OH1/SiO2 at 3 and 6THz frequencies. We show that the efficiencies of these ‎structures are higher than DAST/SiO2 structure in both of 3 and 6THz frequencies. OH1/SiO2 ‎structure at 6THz has an efficiency as large as 10-1; at 3THz frequency, DSTMS/SiO2 structure ‎has an efficiency as large as 10-2. Meanwhile bulk OH1 has an efficiency as large as 10-3 at ‎‎3THz due to perfect phase matching whose efficiency is lower than DSTMS/SiO2 structure. ‎We also show that other structures, namely DSTMS/ZnTe at 3THz and DAST/GaP at 8THz, ‎have low efficiency, so they are not suitable as THz sources.‎Thu, 08 Jun 2017 19:30:00 +0100Fundamental Functor based on Hypergroups and Groups
http://mir.kashanu.ac.ir/article_46681_0.html
The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards rst we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a nontrivial hypergroup. Finally we study the connections between categories of hypergroups and groups via the fundamental relatioThu, 08 Jun 2017 19:30:00 +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 +0100More Equienergetic Signed Graphs
http://mir.kashanu.ac.ir/article_49308_4604.html
The energy of signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two signed graphs are said to be equienergetic if they have same energy. In the literature the construction of equienergetic signed graphs are reported. In this paper we obtain the characteristic polynomial and energy of the join of two signed graphs and thereby we give another construction of unbalanced, noncospectral equieneregtic signed graphs on $n geq 8$ vertices.Thu, 31 Aug 2017 19:30:00 +0100