图的最小注入偏心支配能

Asian Research Journal of Mathematics Pub Date : 2024-02-17 DOI:10.9734/arjom/2024/v20i1780

Riyaz Ur Rehman A., A. Ismayil

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引用次数: 0

摘要

定义了图形的最小注入偏心支配能。计算了星形图、完整图和鸡尾酒会图的最小注入偏心支配能。受麦克利兰图能量边界的启发，讨论了星形图、完整图和鸡尾酒会图的最小注入偏心支配能的上界和下界。讨论了星形图、完整图和鸡尾酒会图的最小注入偏心支配矩阵特征值的性质。

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Minimum Injective Eccentric Dominating Energy of Graphs

The minimum injective eccentric dominating energy of a graph is defined. The minimum injective eccentric dominating energy for star, complete and cocktail party graphs are computed. Inspired by McClelland’s bounds for energy of a graph, the upper and lower bounds of minimum injective eccentric dominating energy for star, complete and cocktail party graphs are discussed. Properties of eigenvalues of minimum injective eccentric dominating matrix for star, complete and cocktail party graphs are discussed.

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Asian Research Journal of Mathematics

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