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

被引：14

作者：

Hassan, Javier A. ^{[1
]}

Lintasan, Abdurajan B. ^{[1
]}

Mohammad, Nurijam Hanna M. ^{[1
]}

机构：

[1] MSU Tawi Tawi Coll Technol & Oceanog, Math & Sci Dept, Coll Arts & Sci, Bongao, Tawi Tawi, Philippines

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 03期

关键词：

Hop independent set; connected outer-hop independent hop dominating set; connected outer-hop independent hop domination number; SETS;

D O I：

10.29020/nybg.ejpam.v16i3.4684

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1848 / 1861

页数：14

共 14 条

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