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Chromatic weak domatic partition in graphs
(Işık University Press, 2019)
In a simple graph G, a subset D of V (G) is called a chromatic weak dominating set if D is a weak dominating set and χ(< D >) = χ(G). Similar to domatic partition, chromatic weak domatic partition can be defined. The maximum ...
Tight just excellent graphs
(Işık University Press, 2019)
A graph G is ?-excellent if for every vertex v, there exists a chromatic partition ? such that {v} ? ?.A graph G is just ?-excellent if every vertex appears as a singleton in exactly one ?-partition. In this paper, a special ...