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Let G be a graph of order p >=5. show that if p =5 and if G has no induced subgraph isomorphic to D 3

Let G be a graph of order p >=5.

show that if p =5 and if G has no induced subgraph isomorphic to D3 or K3 then G is a cycle.

Show that if p >= 6, then G has an induced subgraph isomorphic to Dor K3

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