The critical window for the classical Ramsey-Turán problem

Ramsey-Turán result proved by Szemerédi in 1972: any K [subscript 4-]free graph on n vertices with independence number o(n) has at most (1[over]8+o(1))n[superscript 2] edges. Four years later, Bollobás and Erdős gave a surprising geometric construction, utilizing the isoperimetric inequality for th...

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Bibliographic Details
Main Authors: Fox, Jacob, Loh, Po-Shen, Zhao, Yufei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag/Bolyai Society 2015
Online Access:http://hdl.handle.net/1721.1/92864