University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer Structures OH1/SiO2 and DSTMS/SiO2
1
13
EN
Hamid Reza
Zangeneh
0000-0002-2385-3159
Department of Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. Iran
hrzangeneh@kashanu.ac.ir
Maryam
Kashani
Department of Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. Iran
mkashani@grad.kashanu.ac.ir
10.22052/mir.2017.58878.1040
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.
Terahertz waves (THz),Difference frequency generation (DFG),Non-linear susceptibility,Multilayer structure,Organic crystals.
https://mir.kashanu.ac.ir/article_46680.html
https://mir.kashanu.ac.ir/article_46680_1393e2ceb8480fa7fe95d7603799d3d8.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
15
29
EN
Kandala Kanakamahalakshmi
Sarma
Mathematics, College Of Science and Technology Andhra University, Visakhapatnam, Andhra Pradesh, India
sarmakmkandala@yahoo.in
Yohannes
Aemro
Mathematics, College of Science and Technology, Andhra University
yohannesgebru2005@gmail.com
10.22052/mir.2017.93427.1070
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.
Fixed points,strong fuzzy metric space,generalized kg - contractive mappings
https://mir.kashanu.ac.ir/article_55281.html
https://mir.kashanu.ac.ir/article_55281_17c23e129e91705b2e7c98bf83e651f8.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
On Powers of Some Graph Operations
31
43
EN
Mohamed
Seoud
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
m.a.seoud@hotmail.com
Hamdy
Mohamed Hafez
Department of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, Egypt
hha00@fayoum.edu.eg
10.22052/mir.2018.85618.1062
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.
Graph product,power graphs,graph indices
https://mir.kashanu.ac.ir/article_57101.html
https://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
Average Degree-Eccentricity Energy of Graphs
45
54
EN
Ivan
Gutman
University Kragujevac, Serbia
gutman@kg.ac.rs
Veena
Mathad
Department of Mathematics
University of Mysore
Mysuru, India
veena_mathad@rediffmail.com
Shadi
Ibrahim
Khalaf
Department of Studies in Mathematics, Faculty of Science and Technology Manasagangotri, University of Mysore, Mysore, India.
shadikhalaf1989@hotmail.com
Sultan
Senan
Mahde
Department of Mathematics
University of Mysore
Mysuru, India
sultan.mahde@gmail.com
10.22052/mir.2018.119231.1090
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.
Average degree-eccentricity matrix,average degree-eccentricity eigenvalue,average degree-eccentricity energy
https://mir.kashanu.ac.ir/article_58151.html
https://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
Some Applications of Strong Product
55
65
EN
Mostafa
Tavakoli
Department of Applied Mathematics
Ferdowsi University of Mashhad
P. O. Box 1159, Mashhad 91775, I. R. Iran
m_tavakoli@um.ac.ir
Freydoon
Rahbarnia
Department of Applied Mathematics
Ferdowsi University of Mashhad
P. O. Box 1159, Mashhad 91775, I. R. Iran
rahbarnia@um.ac.ir
Irandokht
Rezaee Abdolhosein Zadeh
Department of Applied Mathematics
Ferdowsi University of Mashhad
P. O. Box 1159, Mashhad 91775, I. R. Iran
ir_rezaee899@stu.um.ac.ir
10.22052/mir.2018.55115.1033
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<br /> such as Fence graphs.
strong product,graph invariant,topological index
https://mir.kashanu.ac.ir/article_63360.html
https://mir.kashanu.ac.ir/article_63360_ddabf90a24b0b6b016f20ecb8f28d726.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
3
1
2018
06
01
On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges
67
74
EN
Abbas
Seify
Department of Sciences,
Shahid Rajaei Teacher Training University,
Tehran, I. R. Iran
abbas.seify@gmail.com
10.22052/mir.2018.115910.1087
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.
Edge-decomposition,double-star,cubic graph,regular graph,bipartite graph
https://mir.kashanu.ac.ir/article_63511.html
https://mir.kashanu.ac.ir/article_63511_00671cbdab52608c7230f8055860c91a.pdf