On dominator and total dominator coloring of duplication corresponding corona of path, pan, complete and sunlet graphs Article Swipe

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Megala Shanmugam , N. Mohanapriya , K. Ravichandran , Abirami Kamaraj ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.30538/psrp-odam2025.0113

A dominator coloring of a graph \(\mathscr{G}\) is a proper coloring where each vertex of \(\mathscr{G}\) is within the closed neighborhood of at least one vertex from each color class. The minimum number of color classes required for a dominator coloring of \(\mathscr{G}\) is termed the dominator chromatic number. Additionally, a total dominator coloring of a graph \(\mathscr{G}\) is a proper coloring in which every vertex dominates at least one color class other than its own. The minimum number of color classes needed for a total dominator coloring of \(\mathscr{G}\) is known as the total dominator chromatic number. In this paper, our objective is to derive findings concerning dominator and total dominator coloring of the duplication corresponding corona of specific graphs.

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Path (computing) Mathematics Complete coloring Combinatorics Computer science Graph Computer network Line graph Graph power

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Type: article
Language: en
Landing Page: https://doi.org/10.30538/psrp-odam2025.0113
PDF: https://pisrt.org/psrpress/j/odam/2025/2/on-dominator-and-total-dominator-coloring-of-duplication-corresponding-corona-of-path-pan-complete-and-sunlet-graphs.pdf
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OpenAlex ID: https://openalex.org/W4410108507

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DOI: https://doi.org/10.30538/psrp-odam2025.0113

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Title: On dominator and total dominator coloring of duplication corresponding corona of path, pan, complete and sunlet graphs

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Language: en

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Publication year: 2025

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Publication date: 2025-05-06

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Authors: Megala Shanmugam, N. Mohanapriya, K. Ravichandran, Abirami Kamaraj

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Landing page: https://doi.org/10.30538/psrp-odam2025.0113

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PDF URL: https://pisrt.org/psrpress/j/odam/2025/2/on-dominator-and-total-dominator-coloring-of-duplication-corresponding-corona-of-path-pan-complete-and-sunlet-graphs.pdf

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Concepts: Path (computing), Mathematics, Complete coloring, Combinatorics, Computer science, Graph, Computer network, Line graph, Graph power

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