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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: Cayley graph,Semihypergroup,Fundamental relation,Category,Social network
- چکیده:
- چکیده انگلیسی: The purpose of this paper is the study of Cayley graph associated to a semihypergroup(or hypergroup). In this regards first we associate a Cayley graph to every semihypergroup and then we study the
properties of this graph, such as Hamiltonian cycles in this graph. Also, by some of examples we will illustrate the properties and behavior of these Cayley graphs, in particulars we show that the properties of a Cayley graph associated to a semihypergroup is completely different with respect to the Cayley graph associated to a semigroup(group). Also, we briefly discuss on category of Cayley graphs associated to semihypergroups and construct a functor from this category to the category of digraphs. Finally, we give an application the Cayley graph of a hypergroupoid to a social network.- انتشار مقاله: 20-03-1398
- نویسندگان: Khadijeh Shamsi,Reza Ameri,Saeed Mirvakili
- مشاهده
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: Independent set,Independence number,Zero-divisor graph, Ideal
- چکیده:
- چکیده انگلیسی: Let $G=(V,E)$ be a simple graph. A set $Ssubseteq V$ is
independent set of $G$, if no two vertices of $S$ are adjacent.
The independence number $alpha(G)$ is the size of a maximum
independent set in the graph.
In this paper we study and characterize the independent sets of
the zero-divisor graph $Gamma(R)$ and ideal-based zero-divisor graph
$Gamma_I(R)$
of a commutative ring $R$.- انتشار مقاله: 03-05-1393
- نویسندگان: Saeid Alikhani,Saeed Mirvakili
- مشاهده