Some Aspects of Radial Graphs Under Boolean Operations
Keywords:
radial graph, conjunction, rejection, Cartesian productAbstract
Two vertices of a graph $G$ are said to be radial to each other if the distance between them is equal to the radiusof the graph. The radial graph of a graph $G,$ denoted by $R(G),$ has the vertex set as in $G$ and two vertices are
adjacent in $R(G)$ if and only if they are radial to each other in $G.$ If $G$ is disconnected, then the two
vertices are adjacent in $R(G)$ if they belong to different components of $G.$ The main objective of this paper is
to determine the radial graphs of some families of product graphs.
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