The second eccentric Zagreb index of the n^{th} growth nanostar dendrimer D_{۳}[n]
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 59
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شناسه ملی سند علمی:
JR_JDMA-7-1_003
تاریخ نمایه سازی: 30 مهر 1402
چکیده مقاله:
Let G=(V,E) be an ordered pair, where V(G) is a non-empty setof vertices and E(G) is a set of edges called a graph. We denotea vertex by v where v \in V(G) and edge by e where e=uv \inE(G). we denote degree of vertex v by d_{v} which is definedas the number of edges adjacent with vertex v. The distancebetween two vertices of G is the length of a shortest pathconnecting these two vertices which is denoted by d(u,v) whereu,v \in V(G). The eccentricity ecc(v) of a vertex v in Gis the distance between vertex v and vertex farthest from v inG. In this paper, we consider an infinite family of NanostarDendrimers and compute its Second Eccentric Zagreb index.M.Ghorbani and Hosseinzadeh introduced Second eccentric zagrebindex as EM_{۲}(G)=\sum_{uv \in E(G)}\big(ecc(u)\timesecc(v)\big), that ecc(u) denotes the eccentricity of a vertexu and ecc(v) denotes the eccentricity of a vertex v of G.
کلیدواژه ها:
نویسندگان
Mohammad Reza Farahani
Department of Applied Mathematics, Iran University of Science and Technology (IUST),Narmak,Tehran ۱۶۸۴۴,Iran.
Abdul Qudair Baig
Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Pakistan
Wasim Sajjad
Department of Mathematics, University of Sargodha, Mandi Bahauddin Campus, Mandi Bahauddin Pakistan