What is the largest hereditary class of graphs G1 such that for every G 2 G1 and every induced subgraph H of G, H is a set graph if and only if H is connected and satisfies the cut vertex condition?...

What is the largest hereditary class of graphs G1 such that for every G 2 G1 and every induced subgraph H of G, H is a set graph if and only if H is connected and satisfies the cut vertex condition? What is the largest hereditary class of graphs G2 such that for every G 2 G2, and every induced subgraph H of G, H is a set graph if and only if H is connected and claw-free?

Jan 05, 2022
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