Akbari, M., Moghaddamfar, A. (2017). Groups for which the noncommuting graph is a split graph. International Journal of Group Theory, 6(1), 29-35. doi: 10.22108/ijgt.2017.11161

Marzieh Akbari; Alireza Moghaddamfar. "Groups for which the noncommuting graph is a split graph". International Journal of Group Theory, 6, 1, 2017, 29-35. doi: 10.22108/ijgt.2017.11161

Akbari, M., Moghaddamfar, A. (2017). 'Groups for which the noncommuting graph is a split graph', International Journal of Group Theory, 6(1), pp. 29-35. doi: 10.22108/ijgt.2017.11161

Akbari, M., Moghaddamfar, A. Groups for which the noncommuting graph is a split graph. International Journal of Group Theory, 2017; 6(1): 29-35. doi: 10.22108/ijgt.2017.11161

Groups for which the noncommuting graph is a split graph

The noncommuting graph $\nabla (G)$ of a group $G$ is a simple graph whose vertex set is the set of noncentral elements of $G$ and the edges of which are the ones connecting two noncommuting elements. We determine here, up to isomorphism, the structure of any finite nonabeilan group $G$ whose noncommuting graph is a split graph, that is, a graph whose vertex set can be partitioned into two sets such that the induced subgraph on one of them is a complete graph and the induced subgraph on the other is an independent set.

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