Total Dominator Colour Class Total Dominating Sets in Diagonal Ladder Graph, Pentagonal Circular Ladder Graph and Pencil Graph
Keywords:
Chromatic number, Total Domination number, Dominator Color Class Domination number, Total Dominator Color Class Total Domination number.Abstract
Let G = (????, ????) be a finite, undirected and connected graph. A proper coloring ???? of G is said to be a total dominator color class
total dominating set of G if each vertex properly dominates a color class in ???? and each color class in ???? is properly dominated by a vertex
in V(????). A total dominator color class total dominating set D of G is a minimal total dominator color class total dominating set if no
proper subset of D is a total dominator color class total dominating Set of G. The total dominator color class total domination number is
the minimum cardinality taken over all minimal total dominator color class total dominating sets in G and is denoted by ????????????????(????). Here we
obtain total dominator color class total domination number of, Diagonal Ladder graph, Pentagonal Circular Ladder graph and Pencil
graph.
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