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   cayley graph associated to a semihypergroup  
   
نویسنده shamsi khadijeh ,ameri reza ,mirvakili saeed
منبع journal of algebraic structures and their applications - 2020 - دوره : 7 - شماره : 2 - صفحه:29 -49
چکیده    The purpose of this paper is the study of cayley graph associated to a semihy- pergroup(or hypergroup). in this regards first we associate a cayley graph to every semi- hypergroup 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 brie y discuss on category of cayley graphs associated to semi- hypergroups 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.
کلیدواژه semihypergroup ,cayley graph ,fundamental relation ,category ,social network
آدرس payamenoor university, department of mathematics, iran, university of tehran, department of mathematics, iran, payame noor university, department of mathematics, iran
پست الکترونیکی saeed_mirvakili@pnu.ac.ir
 
     
   
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