
We define minimal CN-dominating graph $mathbf {MCN}(G)$, commonality minimal CN-dominating graph $mathbf {CMCN}(G)$ and vertex minimal CN-dominating graph $mathbf {M_{v}CN}(G)$, characterizations are given for graph $G$ for which the newly defined graphs are connected. Further serval new results are developed relating to these graphs.
vertex minimal CN-dominating (graph), QA1-939, CN-Minimal Dominating (Graph), commonality minimal CN-dominating (graph), Mathematics
vertex minimal CN-dominating (graph), QA1-939, CN-Minimal Dominating (Graph), commonality minimal CN-dominating (graph), Mathematics
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