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   Tetravalent one-regular graphs of order p²q²  
   
نویسنده ghorbani modjtaba ,seyyedhadi aziz ,nowroozi-larki farzaneh
منبع journal of discrete mathematics and its applications - 2023 - دوره : 8 - شماره : 2 - صفحه:111 -121
چکیده    A graph is called one-regular if its full automorphism group acts regularly on the set of arcs. in this paper, we classify all connected one-regular graphs of valency 4 of order p²q², where p > q are prime numbers. we also prove that all such graphs are cayley graphs.
کلیدواژه one-regular graph ,symmetric graph ,Cayley graph
آدرس shahid rajaee teacher training university, faculty of science, department of mathematics, Iran, shahid rajaee teacher training university, faculty of science, department of mathematics, Iran, shahid rajaee teacher training university, faculty of science, department of mathematics, Iran
 
     
   
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