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Some Ramsey–Turán type problems and related questions

✍ Scribed by R.H. Schelp

Book ID
113567450
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
187 KB
Volume
312
Category
Article
ISSN
0012-365X

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## Abstract For each __n__ and __k__, we examine bounds on the largest number __m__ so that for any __k__‐coloring of the edges of __K~n~__ there exists a copy of __K~m~__ whose edges receive at most __k−__1 colors. We show that for $k \ge \sqrt{n}\;+\,\Omega(n^{1/3})$, the largest value of __m__ i