@article {
author = {Zangeneh, Hamid Reza and Kashani, Maryam},
title = {Generation of High Efficient Quasi-Single-Cycle 3 and 6THZ Pulses using Multilayer Structures OH1/SiO2 and DSTMS/SiO2 },
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {1-13},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2017.58878.1040},
abstract = {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.},
keywords = {Terahertz waves (THz),Difference frequency generation (DFG),Non-linear susceptibility,Multilayer structure,Organic crystals.},
url = {http://mir.kashanu.ac.ir/article_46680.html},
eprint = {http://mir.kashanu.ac.ir/article_46680_1393e2ceb8480fa7fe95d7603799d3d8.pdf}
}
@article {
author = {Sarma, Kandala Kanakamahalakshmi and Aemro, Yohannes},
title = {Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {15-29},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2017.93427.1070},
abstract = {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.},
keywords = {Fixed points,strong fuzzy metric space,generalized kg - contractive mappings},
url = {http://mir.kashanu.ac.ir/article_55281.html},
eprint = {http://mir.kashanu.ac.ir/article_55281_17c23e129e91705b2e7c98bf83e651f8.pdf}
}
@article {
author = {Seoud, Mohamed and Mohamed Hafez, Hamdy},
title = {On Powers of Some Graph Operations},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {31-43},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2018.85618.1062},
abstract = {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.},
keywords = {Graph product,power graphs,graph indices},
url = {http://mir.kashanu.ac.ir/article_57101.html},
eprint = {http://mir.kashanu.ac.ir/article_57101_b1f55afe12af7374ddf09f2ea47cbc9e.pdf}
}
@article {
author = {Gutman, Ivan and Mathad, Veena and Khalaf, Shadi and Mahde, Sultan},
title = {Average Degree-Eccentricity Energy of Graphs},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {45-54},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2018.119231.1090},
abstract = {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.},
keywords = {Average degree-eccentricity matrix,average degree-eccentricity eigenvalue,average degree-eccentricity energy},
url = {http://mir.kashanu.ac.ir/article_58151.html},
eprint = {http://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf}
}
@article {
author = {Tavakoli, Mostafa and Rahbarnia, Freydoon and Rezaee Abdolhosein Zadeh, Irandokht},
title = {Some Applications of Strong Product},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {55-65},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2018.55115.1033},
abstract = {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.},
keywords = {strong product,graph invariant,topological index},
url = {http://mir.kashanu.ac.ir/article_63360.html},
eprint = {http://mir.kashanu.ac.ir/article_63360_ddabf90a24b0b6b016f20ecb8f28d726.pdf}
}
@article {
author = {Seify, Abbas},
title = {On Edge-Decomposition of Cubic Graphs into Copies of the Double-Star with Four Edges},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {1},
pages = {67-74},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2018.115910.1087},
abstract = {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.},
keywords = {Edge-decomposition,double-star,cubic graph,regular graph,bipartite graph},
url = {http://mir.kashanu.ac.ir/article_63511.html},
eprint = {http://mir.kashanu.ac.ir/article_63511_00671cbdab52608c7230f8055860c91a.pdf}
}