Bounds on the Global Double Roman Domination Number in Graphs

IF 0.5 4区数学 Q3 MATHEMATICS

Discussiones Mathematicae Graph Theory Pub Date : 2022-08-23 DOI:10.7151/dmgt.2460

Guoliang Hao, Shouliu Wei, S. M. Sheikholeslami, Xiaodan Chen

引用次数: 0

Abstract

Abstract Let G be a simple graph of order n and let γgdR(G) be the global double Roman domination number of G. In this paper, we give some upper bounds on the global double Roman domination number of G. In particular, we completely characterize the graph G with γgdR(G) = 2n − 2 and γgdR(G) = 2n − 3. Our results answer a question posed by Shao et al. (2019).

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图中全局双罗马统治数的界

摘要设G为n阶的简单图，设γgdR(G)为G的全局双罗马控制数。本文给出了G的全局双罗马控制数的一些上界，特别是完整地刻画了γgdR(G) = 2n−2和γgdR(G) = 2n−3的图G。我们的研究结果回答了Shao等人(2019)提出的一个问题。

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

Discussiones Mathematicae Graph Theory MATHEMATICS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

53 weeks

期刊介绍： The Discussiones Mathematicae Graph Theory publishes high-quality refereed original papers. Occasionally, very authoritative expository survey articles and notes of exceptional value can be published. The journal is mainly devoted to the following topics in Graph Theory: colourings, partitions (general colourings), hereditary properties, independence and domination, structures in graphs (sets, paths, cycles, etc.), local properties, products of graphs as well as graph algorithms related to these topics.