Topological indices of the wreath product of graphs

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS(2023)

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摘要
Topological indices, i.e., numerical invariants suitably associated to graphs and only depending upon their isomorphism type, have important applications in Chemistry. Their computation constitutes an important branch of Chemical Graph Theory. In this paper, we focus on some degree and distance-based invariants related to the Zagreb indices, the Szeged index and the Wiener index, namely, the F-index, the vertex PI index and the hyper-Wiener index. In particular, we find the formula to compute these topological invariants for wreath product of graphs.
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关键词
Wreath product, forgotten index, PI index, hyper-Wiener index, transitive graph
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