Some Properties and Realization Problems Involving Connected Outer-hop Independent Hop Domination in Graphs

Javier Hassan, Abdurajan B. Lintasan, N. H. M. Mohammad
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引用次数: 3

Abstract

In this paper, we construct a realization problems involving connected outer-hop independent hop domination and we determine its connections with other known parameters in graph theory. In particular, given two positive integers a and b with 2 ≤ a ≤ b are realizable as the connected hop domination, connected outer-hop independent hop domination, and connected outer-independent hop domination numbers, respectively, of a connected graph. In addition, we characterize the connected outer-hop independent hop dominating sets in some families of graphs, join and corona of two graphs, and we use these results to derive formulas for the parameters of these graphs.
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图中连通外跳独立控制的一些性质及实现问题
在本文中,我们构造了一个涉及连接外跳独立跳控制的实现问题,并确定了它与图论中其他已知参数的连接。特别地,给定两个2≤a≤b的正整数a和b,分别可实现为连通图的连通跳控制、连通外跳独立跳控制和连通外跳无关跳控制数。此外,我们刻画了一些图族中的连通外跳独立跳支配集,两个图的连接和电晕,并利用这些结果导出了这些图的参数公式。
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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CiteScore
1.30
自引率
28.60%
发文量
156
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