\(k\)-domination and \(k\)-tuple total domination for some chessboard graphs

In this paper, <span class="math inline">\(k\)</span>-domination is considered for the king’s, queen’s, knight’s, and bishop’s graphs for square boards of any dimension size. We also consider <span class="math inline">\(k\)</span>-tuple total domination for the queen’s and bishop’s graphs for square boards as well.

Publication Details

Journal
Utilitas Mathematica
Published
2025-09-27
DOI
https://doi.org/10.61091/um124-04
Primary Topic
Geodetic Measurements and Engineering Structures
Type
article
Field-Weighted Citation Impact
0.00
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article

\(k\)-domination and \(k\)-tuple total domination for some chessboard graphs

Utilitas Mathematica
Geodetic Measurements and Engineering Structures
article

\(k\)-domination and \(k\)-tuple total domination for some chessboard graphs

article en

Abstract

In this paper, <span class="math inline">\(k\)</span>-domination is considered for the king’s, queen’s, knight’s, and bishop’s graphs for square boards of any dimension size. We also consider <span class="math inline">\(k\)</span>-tuple total domination for the queen’s and bishop’s graphs for square boards as well.

Utilitas MathematicaVol. 124
Openalex Percentile: Top 50%
Geodetic Measurements and Engineering Structures
DOIOpen Access PDFOpenAlex
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\(k\)-domination and \(k\)-tuple total domination for some chessboard graphs · Utilitas Mathematica (2025) | TGRS Research Map | TGRS