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   on the ψk-polynomial of graph  
   
نویسنده alsinai ammar ,alwardi anwar ,farahani mohammad reza ,soner nandappa d.
منبع journal of medicinal and pharmaceutical chemistry research - 2021 - دوره : 3 - شماره : 4 - صفحه:219 -226
چکیده    In this paper, for every kdegree distance we define ψk-polynomial of a connected graph g=(v,e) as  where ψk(i,j) is the number of edges uv in g such that {dk(v), dk(u)}={i,j} and dk(v), dk(u) are the kth degree distance of v and u, and δk, ∆k are the minimum and maximum kth distance degrees respectively. we compute the ψ2-polynomial of some standard graphs and some graph operations. also ψ2-polynomial for honeycomb network and graphene are obtained with their plotting in 3d.
کلیدواژه second degree of a vertex ,polynomial of graph ,ψ2-polynomial، ψk-polynomial
آدرس university of mysore, department of studies in mathematics, india, university of aden, department of mathematics, yemen, iran university of science and technology (iust), department of applied mathematics, iran, university of mysore, department of studies in mathematics, india
پست الکترونیکی ndsoner@yahoo.co.in
 
     
   
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