Ramsey goodness and beyond
نویسندگان
چکیده
In a seminal paper from 1983, Burr and Erd1⁄2os started the systematic study of Ramsey numbers of cliques vs. large sparse graphs, raising a number of problems. In this paper we develop a new approach to such Ramsey problems using a mix of the Szemerédi regularity lemma, embedding of sparse graphs, Turán type stability, and other structural results. We give exact Ramsey numbers for various classes of graphs, solving all but one of the Burr-Erd1⁄2os problems. 2000 Mathematics Subject Classi cation: Primary 05C55; Secondary 05C35.
منابع مشابه
Ramsey goodness of paths
Article history: Received 19 December 2015 Available online 12 July 2016
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ورودعنوان ژورنال:
- Combinatorica
دوره 29 شماره
صفحات -
تاریخ انتشار 2009