Relationship between the eccentric connectivity index and Zagreb indices
Relationship between the eccentric connectivity index and Zagreb indices
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DOI：
10.1016/j.camwa.2011.06.017
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发表时间：
2011-08
期刊：
影响因子：
--
通讯作者：
K. Das;N. Trinajstic
中科院分区：
文献类型：
--
作者：
K. Das;N. Trinajstic
对于一个（分子）图，第一个Zagreb指标M1等于顶点度数的平方和，第二个Zagreb指标M2等于相邻顶点对度数的乘积和.设G是一个顶点集为V（G）的连通图，则G的偏心连通度指数定义为[公式：见正文]，其中di是顶点v的度，ei是顶点v的偏心率.在这份报告中，我们比较了偏心连接性指数（ECLC）和萨格勒布指数（M1和M2）的化学树。此外，我们还比较了分子图的偏心连通性指数（ECLC）和第一Zagreb指数（M1）。
For a (molecular) graph, the first Zagreb index M1is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2is equal to the sum of the products of the degrees of pairs of adjacent vertices. If G is a connected graph with vertex set V(G), then the eccentric connectivity index of G, ξC(G), is defined as, [Formula: see text] , where diis the degree of a vertex viand eiis its eccentricity. In this report we compare the eccentric connectivity index (ξC) and the Zagreb indices (M1and M2) for chemical trees. Moreover, we compare the eccentric connectivity index (ξC) and the first Zagreb index (M1) for molecular graphs.