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   Zagreb, Multiplicative Zagreb Indices and Coindices of Graphs  
   
نویسنده Ahmadi V. ,Darafsheh M. R. ,Hashemi J.
منبع International Journal Of Industrial Mathematics - 2017 - دوره : 9 - شماره : 1 - صفحه:47 -57
چکیده    Let g=(v,e) be a simple connected graph with vertex set v and edge set e. the first, second and third zagreb indices of g are respectivly defined by: m1(g) = ∑uɛv d(u)^2, m2(g) =∑ uvɛe d(u).d(v) and m3(g) = ∑uv£ed(u) — d(v) , where d(u) is the degree of vertex u in g and uv is an edge of g connecting the vertices u and v. recently, the first and second multiplicative zagreb indices of g are defined by: pmx (g) =║nɛu g v/m1 d(u)^2 and pm2(g) =║nɛu g v d(u)d(u). the first and second zagreb coindices of g are defined by: mi(g) = uv/e(d(u) + d(v)) and m2(g) = ^2uv/e d(u).d(v). the indices pm1 (g) = ║uv/e d(u) + d(v) and pm2(g) = ║uv/e d(u).d(v) , are called the first and second multiplicative zagreb coindices of g, respectively. in this article, we compute the first, second and third zagreb indices and the first and second multiplicative zagreb indices of some classes of dendrimers. the first and second zagreb coindices and the first and second multiplicative zagreb coindices of these graphs are also computed.also, the multiplicative zagreb indices are computed using link of graphs.
کلیدواژه Zagreb Indices; Multiplicative Zagreb Indices; Zagreb Coindices; Multiplicative Zagreb Coindices; Link
آدرس Shahid Chamran University, Department Of Mathematics, ایران, Tehran University, Department Of Mathematics, ایران, Shahid Chamran University, Department Of Mathematics, ایران
پست الکترونیکی vidaahmadi_math@yahoo.com
 
     
   
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