荧蒽系统的Zagreb指标的比较(英文)

Comparing the Zagreb Indices of Fluoranthene Congeners

图的第一类Zagreb指标M1(G)和第二类Zagreb指标M2(G)分别定义为:M1(G)=∑VGM(G)(d)(u))2和M2(G)=∑VGM(G)d(u)d(v),其中d(u)表示G中顶点u的度.本文证明了荧蒽系统H的Zagreb指标仅依赖于H的顶点数、六角形个数和进口(inlet)数,并且得到了H的第一类Zagreb指标和第二类Zagreb指标的关系式.

The first Zagreb index of M,（C）and the second Zagreb index M2（G） of a graph G are defined as M1（G）=∑_uaV（G）^（d（u））^2 and M2（G）∑_uaV E（G）^ d（u）d（v）, where d（u） denotes the degree of the vertex U inG. In this paper, weshow that the two Zagreb indices depend solely on the number of vertices, hexagons and inlets of a fluoranthene congener H. Additionally, we obtain a relation between M（H） and M2（H）.