Topological indices, i.e., numerical invariants suitably associated to graphs and only depending upon their isomorphismtype, 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 formulæ to compute these topological invariants for wreath product of graphs.
Topological indices of the wreath product of graphs / Brunetti, Maurizio; Zhan, Yongqin; Wang, Jianfeng. - In: DISCRETE MATHEMATICS, ALGORITHMS AND APPLICATIONS. - ISSN 1793-8309. - 15:1(2023). [10.1142/S1793830922500562]
Topological indices of the wreath product of graphs
Maurizio Brunetti;
2023
Abstract
Topological indices, i.e., numerical invariants suitably associated to graphs and only depending upon their isomorphismtype, 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 formulæ to compute these topological invariants for wreath product of graphs.File | Dimensione | Formato | |
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