Strengthening Rödl's theorem

What can be said about the structure of graphs that do not contain an induced copy of some graph H? Rödl showed in the 1980s that every H-free graph has large parts that are very sparse or very dense. More precisely, let us say that a graph F on n vertices is ε-restricted if either F or its compleme...

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Bibliographic Details
Main Authors: Chudnovsky, M, Scott, A, Seymour, P, Spirkl, S
Format: Journal article
Language:English
Published: Elsevier 2023