Mathematics Interdisciplinary ResearchMathematics Interdisciplinary Research
http://mir.kashanu.ac.ir/
Sat, 18 Aug 2018 01:16:33 +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 +0100Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer ...
http://mir.kashanu.ac.ir/article_46680_6824.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, 31 May 2018 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 +0100Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
http://mir.kashanu.ac.ir/article_55281_6824.html
In this paper, we introduce a new class of contractive mappings in a fuzzy metric space and we present fixed point results for this class of maps.Thu, 31 May 2018 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 Powers of Some Graph Operations
http://mir.kashanu.ac.ir/article_57101_6824.html
Let $G*H$ be the product $*$ of $G$ and $H$. In this paper we determine the rth power of the graph $G*H$ in terms of $G^r, H^r$ and $G^r*H^r$, when $*$ is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation $(G*H)^r=G^r*H^r$. We also compute the Wiener index and Wiener polarity index of the skew product.Thu, 31 May 2018 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 +0100Average Degree-Eccentricity Energy of Graphs
http://mir.kashanu.ac.ir/article_58151_6824.html
The concept of average degree-eccentricity matrix ADE(G) of a connected graph $G$ is introduced. Some coefficients of the characteristic polynomial of ADE(G) are obtained, as well as a bound for the eigenvalues of ADE(G). We also introduce the average degree-eccentricity graph energy and establish bounds for it.Thu, 31 May 2018 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 +0100Some Applications of Strong Product
http://mir.kashanu.ac.ir/article_63360_6824.html
Let G and H be graphs. The strong product GH of graphs G and H is the graph with vertex set V(G)V(H) and u=(u1, v1) is adjacent with v= (u2, v2) whenever (v1 = v2 and u1 is adjacent with u2) or (u1 = u2 and v1 is adjacent with v2) or (u1 is adjacent with u2 and v1 is adjacent with v2). In this paper, we ﬁrst collect the earlier results about strong product and then we present applications of these results in working with some important graphs such as Fence graphs.Sat, 02 Jun 2018 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 +0100On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges
http://mir.kashanu.ac.ir/article_63511_6824.html
‎A tree containing exactly two non-pendant vertices is called a double-star‎. ‎Let $k_1$ and $k_2$ be two positive integers‎. ‎The double-star with degree sequence $(k_1+1‎, ‎k_2+1‎, ‎1‎, ‎ldots‎, ‎1)$ is denoted by $S_{k_1‎, ‎k_2}$‎. ‎It is known that a cubic graph has an $S_{1,1}$-decomposition if and only if it contains a perfect matching‎. ‎In this paper‎, ‎we study the $S_{1,2}$-decomposition of cubic graphs‎. ‎We present some necessary and some sufficient conditions for the existence of an $S_{1‎, ‎2}$-decomposition in cubic graphs‎.Thu, 31 May 2018 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 +0100An Improved Hash Function Based on the Tillich-Zémor Hash Function
http://mir.kashanu.ac.ir/article_64768_0.html
Using the idea behind the Tillich-Zémor hash function, we propose a new hash function. Our hash function is parallelizable and its collision resistance is implied by a hardness assumption on a mathematical problem. Also, it is secure against the known attacks. It is the most secure variant of the Tillich-Zémor hash function until now.Wed, 20 Jun 2018 19:30:00 +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 +0100