The hyper-Zagreb index and some graph operations

The hyper-Zagreb index and some graph operations
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DOI:
10.1007/s12190-016-1008-9
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发表时间:
2017-06
影响因子:
2.2
通讯作者:
W. Gao;M. Jamil;M. Farahani
W. Gao;M. Jamil;M. Farahani
中科院分区:
数学3区
文献类型:
--
作者:
W. Gao;M. Jamil;M. Farahani

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设G是一个简单连通图。Hyper-Zagreb指数定义为。本文给出了包含图的卡积、图的并、图的拼接、图的链环和图的链的图运算的超Zagreb指标的精确表达式。我们也将这些结果应用到一些化学和一般感兴趣的图,如纳米管,矩形网格,棱柱,完全部图。
LetGbe a simple connected graph. The Hyper-Zagreb index is defined as. In this paper some exact expressions for the hyper-Zagreb index of graph operations containing cartesian product and join ofngraphs, splice, link and chain of graphs will be presented. We also apply these results to some graphs to chemical and general interest, such asnanotube, rectangular grid, prism, completen-partite graph.