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On Derivative Euler Phi Function Set-Graphs
Johan Kok, Eunice Gogo Mphako-Banda, Sudev Naduvath
In this paper, we study some graph theoretical properties of two derivative Euler Phi function set-graphs. For the Euler Phi function , , the set $S_ϕ(n) =\{…
Stability in Respect of Chromatic Completion of Graphs
Eunice Mphako-Banda, Johan Kok
In an improper colouring an edge for which, is called a \emph{bad edge}. The notion of the \emph{chromatic completion number} of a graph denoted by is…
Chromatic Completion Number
E. G Mphako-Banda, J. Kok
We use a well known concept of proper vertex colouring of a graph to introduce the construction of a chromatic completion graph and its related parameter, the chromatic completion…
Some Properties of Fibonacci-Sum Set-Graphs
Eunice G Mphako-Banda, Johan Kok, Sudev Naduvath
In this paper we study some properties of Fibonacci-sum set-graphs. The aforesaid graphs are an extension of the notion of Fibonacci-sum graphs to the notion of set-graphs. The col…
On the Fading Number of a Graph
Johan Kok, Sudev Naduvath, Eunice Gogo Mphako-Banda
The closed neighbourhood of a vertex of a graph , consisting of at least one vertex from all colour classes with respect to a proper colouring of , is called a rai…