Resumen de Induced Ramsey-type theorems
We present a unified approach to proving Ramsey-type theorems for graphs with a forbidden induced subgraph which can be used to extend and improve the earlier results of Rödl, Erdos�Hajnal, Prömel�Rödl, Nikiforov, Chung�Graham, and Luczak�Rödl. The proofs are based on a simple lemma (generalizing one by Graham, Rödl, and Rucinski) that can be used as a replacement for Szemerédi's regularity lemma, thereby giving much better bounds. The same approach can be also used to show that pseudo-random graphs have strong induced Ramsey properties. This leads to explicit constructions for upper bounds on various induced Ramsey numbers
