三个圈图的两类冠图的ABC指数  

The Atom-Bond Connectivity Index of Two Kinds of Corona Graphs of Three Cycle Graphs

作　　者：刘海琴[1] LIU Haiqin(College of Arts and Sciences,Shanxi Agricultural University,Taigu,Shanxi 030801,China)

机构地区：[1]山西农业大学文理学院

出　　处：《南华大学学报（自然科学版）》2019年第5期64-67,共4页Journal of University of South China：Science and Technology

基　　金：山西农业大学科技创新基金项目(2014010);山西省青年科技研究基金项目(201801D221013)

摘　　要：图G和H两者的点冠图,记作G H,定义为使图G的每一顶点分别与图H的一个拷贝的所有顶点相连。类似地,三个图的冠图记作G1·G2·G3,定义为(G1·G2)·G3,三个图G1,G2,G3的剖分点—边冠图记为G^S1·(G^V2·G^E3)。图的ABC指数定义为:ABC(G)=∑uv∈E(G)√d(u)+d(v)-2/d(u)d(v),其中E(G)表示图G的边集,d(u),d(v)分别表示对应边的两顶点u,v的度。主要研究了三个圈图的这两类冠图的ABC指数。The corona graph of G and H,recorded as G.H,defined as joining every vertex of G to each vertex of one copy of H.Analogously,the corona graph of three graphs denoted as G1.G2.G3,defined as(G1.G2).G3.The subdivision vertex-edge corona graph of G1 with G2 and G3,denoted by G1^S■.(G2^V■.G3^E■).A novel atom-bond connectivity index for a(molecular) graph is defined as ∑uv∈E(G)√d(u)+d(v)-2/d(u)d(v),where E(G) is the edge set of G,d(u),d(v) are the vertex degree of u,v,respectively.In this paper,the atom-bond connectivity index of two kinds of corona graphs of three cycle graphs have been calculated.

关 键 词：冠图 剖分点—边冠图 ABC指数 

分 类 号：O157[理学—数学]