Harary and hyper-Wiener indices of some graph operations

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-03-15 DOI:10.1186/s13660-024-03112-6

S. Balamoorthy, T. Kavaskar, K. Vinothkumar

引用次数: 0

Abstract

In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based zero-divisor graph of a ring.

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某些图运算的哈拉里指数和超维纳指数

在本文中，我们得到了图的 H 广义连接和图的广义日冕积的哈拉里指数和超维纳指数。因此，我们推导出了（Das 等人，载于《不等式应用》2013:339，2013 年）和（Khalifeh 等人，载于《计算数学应用》56:1402-1407，2008 年）中的一些结果。此外，我们还计算了基于理想的环零分维图的哈拉里指数和超维纳指数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.