Flag algebras yield sharp inducibility bounds for 36 six-vertex graphs with stability proofs in 32 cases and conjectures for 12 more.
An Introduction to Razbo- rov’s Flag Algebra as a Proof System for Extremal Graph Theory
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Every K4-free graph on n vertices has balanced bipartite distance at most n²/9.
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The inducibility of 6-vertex graphs
Flag algebras yield sharp inducibility bounds for 36 six-vertex graphs with stability proofs in 32 cases and conjectures for 12 more.
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Balanced bipartite distance of $K_4$-free graphs
Every K4-free graph on n vertices has balanced bipartite distance at most n²/9.