2020-07-07T09:56:20Z
http://mir.kashanu.ac.ir/?_action=export&rf=summon&issue=6825
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer Structures OH1/SiO2 and DSTMS/SiO2
Hamid Reza
Zangeneh
Maryam
Kashani
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.
2018
06
01
1
13
http://mir.kashanu.ac.ir/article_46680_1393e2ceb8480fa7fe95d7603799d3d8.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
Kandala Kanakamahalakshmi
Sarma
Yohannes
Aemro
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
2018
06
01
15
29
http://mir.kashanu.ac.ir/article_55281_17c23e129e91705b2e7c98bf83e651f8.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
On Powers of Some Graph Operations
Mohamed
Seoud
Hamdy
Mohamed Hafez
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
2018
06
01
31
43
http://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
Average Degree-Eccentricity Energy of Graphs
Ivan
Gutman
Veena
Mathad
Shadi
Khalaf
Sultan
Mahde
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
2018
06
01
45
54
http://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
Some Applications of Strong Product
Mostafa
Tavakoli
Freydoon
Rahbarnia
Irandokht
Rezaee Abdolhosein Zadeh
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
2018
06
01
55
65
http://mir.kashanu.ac.ir/article_63360_ddabf90a24b0b6b016f20ecb8f28d726.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2018
3
1
On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges
Abbas
Seify
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
2018
06
01
67
74
http://mir.kashanu.ac.ir/article_63511_00671cbdab52608c7230f8055860c91a.pdf