Abstract:$G$-graphs are a type of graphs associated to groups, which were proposed by A.\ Bretto and A.\ Faisant (2005). In this paper, we first give some theorems regarding $G$-graphs. Then we introduce the notion of rough $G$-graphs and investigate some important properties of these graphs.
Keywords: coset; $G$-graph; rough set; group; normal subgroup; lower approximation; upper approximation
DOI: DOI 10.14712/1213-7243.2020.016
AMS Subject Classification: 05C25 03E75 03E99