Complemented graphs and blow-ups of Boolean graphs, with applications to co-maximal ideal graphs

Jin Guo, Tongsuo Wu, Meng Ye


In this paper, several purely graph-theoretic characterizations are provided for blow-ups of a finite or an infinite Boolean graph (respectively, a pre-atomic graph). Then the characterizations are used to study co-maximal ideal graphs that are blow-ups of Boolean graphs (pre-atomic graphs, respectively).

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