P-Critical graph

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\,p-Critical graph\,p-критический граф.

A graph \,G is \,p-critical if \,G is not perfect but every proper induced subgraph of \,G is perfect. The celebrated Strong Perfect Graph Conjecture (SPGC) of C. Berge states that \,p-critical graphs are only \,C_{2n+1} and \,C_{2n+1}^{c}, \,n \geq 2.


  • Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.