eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
1
13
10.22052/mir.2017.58878.1040
46680
Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer Structures OH1/SiO2 and DSTMS/SiO2
Hamid Reza Zangeneh
hrzangeneh@kashanu.ac.ir
1
Maryam Kashani
mkashani@grad.kashanu.ac.ir
2
Department of Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. Iran
Department of Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. Iran
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.
http://mir.kashanu.ac.ir/article_46680_1393e2ceb8480fa7fe95d7603799d3d8.pdf
Terahertz waves (THz)
Difference frequency generation (DFG)
Non-linear susceptibility
Multilayer structure
Organic crystals.
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
15
29
10.22052/mir.2017.93427.1070
55281
Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
Kandala Kanakamahalakshmi Sarma
sarmakmkandala@yahoo.in
1
Yohannes Aemro
yohannesgebru2005@gmail.com
2
Mathematics, College Of Science and Technology Andhra University, Visakhapatnam, Andhra Pradesh, India
Mathematics, College of Science and Technology, Andhra University
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.
http://mir.kashanu.ac.ir/article_55281_17c23e129e91705b2e7c98bf83e651f8.pdf
Fixed points
strong fuzzy metric space
generalized kg - contractive mappings
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
31
43
10.22052/mir.2018.85618.1062
57101
On Powers of Some Graph Operations
Mohamed Seoud
m.a.seoud@hotmail.com
1
Hamdy Mohamed Hafez
hha00@fayoum.edu.eg
2
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
Department of Basic science, Faculty of Computers and Information, Fayoum University, Fayoum 63514, Egypt
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.
http://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf
Graph product
power graphs
graph indices
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
45
54
10.22052/mir.2018.119231.1090
58151
Average Degree-Eccentricity Energy of Graphs
Ivan Gutman
gutman@kg.ac.rs
1
Veena Mathad
veena_mathad@rediffmail.com
2
Shadi Khalaf
shadikhalaf1989@hotmail.com
3
Sultan Mahde
sultan.mahde@gmail.com
4
University Kragujevac, Serbia
Department of Mathematics University of Mysore Mysuru, India
Department of Studies in Mathematics, Faculty of Science and Technology Manasagangotri, University of Mysore, Mysore, India.
Department of Mathematics University of Mysore Mysuru, India
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.
http://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf
Average degree-eccentricity matrix
average degree-eccentricity eigenvalue
average degree-eccentricity energy
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
55
65
10.22052/mir.2018.55115.1033
63360
Some Applications of Strong Product
Mostafa Tavakoli
m_tavakoli@um.ac.ir
1
Freydoon Rahbarnia
rahbarnia@um.ac.ir
2
Irandokht Rezaee Abdolhosein Zadeh
ir_rezaee899@stu.um.ac.ir
3
Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran
Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran
Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran
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.
http://mir.kashanu.ac.ir/article_63360_ddabf90a24b0b6b016f20ecb8f28d726.pdf
strong product
graph invariant
topological index
eng
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
2018-06-01
3
1
67
74
10.22052/mir.2018.115910.1087
63511
On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges
Abbas Seify
abbas.seify@gmail.com
1
Department of Sciences, Shahid Rajaei Teacher Training University, Tehran, I. R. Iran
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.
http://mir.kashanu.ac.ir/article_63511_00671cbdab52608c7230f8055860c91a.pdf
Edge-decomposition
double-star
cubic graph
regular graph
bipartite graph