ORIGINAL_ARTICLE FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES ‎Let G be a finite group and Z(G) be the center of G‎. ‎For a subset A of G‎, ‎we define kG(A)‎, ‎the number of conjugacy classes of G that intersect A non-trivially‎. ‎In this paper‎, ‎we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them‎. http://jas.shahroodut.ac.ir/article_850_f26adfb749347531a3cb078626440a73.pdf 2017-01-01T11:23:20 2020-06-01T11:23:20 85 95 10.22044/jas.2017.850 ‎Finite group‎ ‎Frobenius group‎ ‎Conjugacy class M. Rezaei mehdrezaei@gmail.com true 1 Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. LEAD_AUTHOR Z. Foruzanfar zforouzanfar@gmail.com true 2 Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. AUTHOR
ORIGINAL_ARTICLE FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS In this paper, we introduce the notion of fuzzy obstinate ideals in MV -algebras. Some properties of fuzzy obstinateideals are given. Not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an MV -algebra A. We investigate the relationships between fuzzy obstinate ideals and the other fuzzy ideals of an MV -algebra. We describe the transfer principle for fuzzy obstinate ideals in terms of level subsets. In addition, we show that if Μ is a fuzzy obstinate ideal of A such that M(0) 2 [0; 1=2], then A=Μ is a Boolean algebra. Finally, we define the notion of a normal fuzzy obstinate ideal and investigate some of its properties. http://jas.shahroodut.ac.ir/article_851_08ccea2270f1cc3558fbf666ad8998c9.pdf 2017-01-01T11:23:20 2020-06-01T11:23:20 97 101 10.22044/jas.2017.851 MV-algebra fuzzy normal fuzzy obstinate fuzzy Boolean F. Forouzesh ffrouzesh@yahoo.com true 1 Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran LEAD_AUTHOR
ORIGINAL_ARTICLE MORE ON EDGE HYPER WIENER INDEX OF GRAPHS ‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=\sum_{\{f,g\}\subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=\frac{1}{2}\sum_{f\in E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ‎where de(f,g|G) denotes the distance between the edges f=xy and g=uv in E(G) and de(f|G)=∑g€(G)de(f,g|G). ‎In this paper we use a method‎, ‎which applies group theory to graph theory‎, ‎to improving‎ ‎mathematically computation of the (first) edge-hyper Wiener index in certain graphs‎. ‎We give also upper and lower bounds for the (first) edge-hyper Wiener index of a graph in terms of its size and Gutman index‎. ‎Also we investigate products of two or more graphs and compute the second edge-hyper Wiener index of the some classes of graphs‎. ‎Our aim in last section is to find a relation between the third edge-hyper Wiener index of a general graph and the hyper Wiener index of its line graph‎. of two or more graphs and compute edge-hyper Wiener number of some classes of graphs‎. http://jas.shahroodut.ac.ir/article_854_2486403d0b8da2a0bb248f7cd1fcd96b.pdf 2017-01-01T11:23:20 2020-06-01T11:23:20 135 153 10.22044/jas.2017.854 Edge-hyper Wiener index‎ ‎line graph‎ ‎Gutman index‎ ‎connectivity‎ ‎edge-transitive graph A. Alhevaz a.alhevaz@gmail.com true 1 Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. LEAD_AUTHOR M. Baghipur maryamb8989@gmail.com true 2 Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. AUTHOR