AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (245.9 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

On independent and total variants of Roman and Italian domination in Mycielskian graphs

Abel Cabrera-Martínez1( ), Alfonso Ríder Moyano1, Ismael Rios-Villamar2
Departamento de Matemáticas, Universidad de Córdoba, Campus de Rabanales, 14071, Córdoba, Spain
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame 54, Col. La Garita 39650, Acapulco, Guerrero, Mexico
Show Author Information

Abstract

Let G be a graph and μ ( G ) its Mycielskian graph. Roman and Italian domination, together with their independent and total variants, have been extensively studied, including studies on graph operators and products. In this article, we investigated the behavior of these domination parameters in Mycielskian graphs and, in particular, we provided closed formulas for these invariants in μ ( G ) in terms of the corresponding values of G.

Keywords

Roman dominationItalian dominationMycielskian graphs
CLC number: 05C69, 05C76

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 17550-17563
DOI: 10.3934/math.2026717

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Cabrera-Martínez A, Moyano AR, Rios-Villamar I. On independent and total variants of Roman and Italian domination in Mycielskian graphs. AIMS Mathematics, 2026, 11(6): 17550-17563. https://doi.org/10.3934/math.2026717

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 15 January 2026
Revised: 04 June 2026
Accepted: 10 June 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)