On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph
In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with either a complete graph or a wheel graph. Illustrative examples are shown for each one of the cases that are studied throughout the paper.
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021090?viewType=HTML |
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doaj-c9f67b95a9194f09b587f7ce9bdce3812020-12-11T01:19:55ZengAIMS PressAIMS Mathematics2473-69882021-12-01621470149610.3934/math.2021090On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graphT. Deepa0Raúl M. Falcón1M. Venkatachalam21. Department of Mathematics. Kongunadu Arts and Science College, Tamil Nadu, India2. Department of Applied Mathematics I. Universidad de Sevilla, Spain1. Department of Mathematics. Kongunadu Arts and Science College, Tamil Nadu, IndiaIn this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with either a complete graph or a wheel graph. Illustrative examples are shown for each one of the cases that are studied throughout the paper.http://www.aimspress.com/article/doi/10.3934/math.2021090?viewType=HTMLr-dynamic coloringdirect productpathcomplete graphwheel graph |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
T. Deepa Raúl M. Falcón M. Venkatachalam |
| spellingShingle |
T. Deepa Raúl M. Falcón M. Venkatachalam On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph AIMS Mathematics r-dynamic coloring direct product path complete graph wheel graph |
| author_facet |
T. Deepa Raúl M. Falcón M. Venkatachalam |
| author_sort |
T. Deepa |
| title |
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| title_short |
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| title_full |
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| title_fullStr |
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| title_full_unstemmed |
On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| title_sort |
on the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-12-01 |
| description |
In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with either a complete graph or a wheel graph. Illustrative examples are shown for each one of the cases that are studied throughout the paper. |
| topic |
r-dynamic coloring direct product path complete graph wheel graph |
| url |
http://www.aimspress.com/article/doi/10.3934/math.2021090?viewType=HTML |
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