The minimum number of colors among all double total dominator coloring of G G is called the double total dominator chromatic number, denoted by χtdd(G) χ d d t ...
Oct 22, 2024 · The total dominator chromatic number of a graph is the minimum number of color classes in a total dominator coloring. In this paper, we study ...
Jul 6, 2021 · In this paper, we introduce and study a new coloring problem of graphs called the double total dominator coloring. A double total dominator ...
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The TD-chromatic number of a graph is related to its total domination number. A total dominating set of G 𝐺 G is a set S ...
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Jun 12, 2020 · The total domination number of G, denoted by γt(G), is the minimum cardinality of a total dominating set of G. A total dominating set of G of ...
In the following section we obtain the exact value for χd for Double wheel graph and Friendship graph. 2 Dominator Chromatic Number of Cycle Re- lated Graphs.
The total dominator chromatic number 𝜒 𝑡 𝑑 ( 𝐺 ) of G is the minimum number of color classes in a TDC of G. A nice relation between these invariants is ...
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The total dominator chromatic number χtd(G) is the minimum number of colors in any total dominator coloring of a graph G. Note that any graph with isolated ...
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Nov 21, 2024 · In this paper, we continue the study of TD-colorings in graphs. We compute the TDC-number of some. specific graphs in the Section ; TDC-number of ...
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Nov 15, 2022 · In this paper, we study the total dominator chromatic number of k-subdivision of G. Keywords: Total dominator chromatic number, k-subdivision.