Exact domination numbers for proper commuting graphs of nilpotent groups and several common finite group families are obtained by connecting graph parameters to centralizer structures.
Seitz,On the diameters of commuting graphs, Journal of Algebra243(2002), no
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Centralizers in finite groups and Domination number of their commuting graphs
Exact domination numbers for proper commuting graphs of nilpotent groups and several common finite group families are obtained by connecting graph parameters to centralizer structures.