Here are some inclusions between graph classes that I suspect to hold. In order to include them in ISGCI, they need a (reference to a) nice proof.
outerplanar << EPT
P_4-comparability << co-C_6-free
unipolar << biclique separable
perfectly orderable << co-sun-free
bip* << (anti-hole,odd-hole)-free
And a question: Is the book thickness of 2-subdivision unbounded?
