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
Collage of Science and Technology,
Andhra University, Department of Mathematics, Visakhapatnam-530 003, India
sarmakmkandala@yahoo.in
Yohannes
Aemro
Collage of Natural and Computational,
Department of Mathematics,
P. O. Box 07,
Wolkite University, Wolkite, Ethiopia
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<sup>r</sup>, H<sup>r</sup>and G<sup>r</sup>*H<sup>r</sup>, when * is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation (G*H)<sup>r</sup>=G<sup>r</sup>*H<sup>r</sup>. 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=(u<sub>1</sub>, v<sub>1</sub>) is adjacent with v= (u<sub>2</sub>, v<sub>2</sub>) whenever (v<sub>1</sub> = v<sub>2</sub> and u1 is adjacent with u<sub>2</sub>) or (u<sub>1</sub> = u<sub>2 </sub>and v<sub>1</sub> is adjacent with v<sub>2</sub>) or (u1 is adjacent with u<sub>2</sub> and v<sub>1</sub> is adjacent with v<sub>2</sub>). 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<sub>1</sub> and k<sub>2</sub> be two positive integers. The double-star with degree sequence (k<sub>1</sub>+1, k<sub>2</sub>+1, 1, ..., 1) is denoted by S<sub>k1</sub>, <sub>k2</sub>. It is known that a cubic graph has an S<sub>1,1</sub>-decomposition if and only if it contains a perfect matching. In this paper, we study the S<sub>1,2</sub>-decomposition of cubic graphs. We present some necessary and some sufficient conditions for the existence of an S<sub>1,2</sub>-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