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The smallest Ramsey numbers

✍ Scribed by Rita Csákány; János Komlós


Book ID
108316299
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
362 KB
Volume
199
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


Induced Ramsey Numbers
✍ Y. Kohayakawa,; H. J. Prömel; V. Rödl 📂 Article 📅 1998 🏛 Springer-Verlag 🌐 English ⚖ 378 KB
Planar Ramsey Numbers
✍ R. Steinberg; C.A. Tovey 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 240 KB

The planar Ramsey number \(P R(k, l)(k, l \geqslant 2)\) is the smallest integer \(n\) such that any planar graph on \(n\) vertices contains either a complete graph on \(k\) vertices or an independent set of size \(l\). We find exact values of \(P R(k, l)\) for all \(k\) and \(l\). Included is a pro

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✍ Xuding Zhu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 431 KB
Distance ramsey numbers
✍ A. B. Kupavskii, M. V. Titova 📂 Article 📅 2013 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 205 KB
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✍ Weinert, Thilo 📂 Article 📅 2013 🏛 Elsevier Science 🌐 English ⚖ 149 KB
Smallest Graded Betti Numbers
✍ Benjamin P Richert 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 153 KB

It is known that given a Hilbert function H H, there need not exist a module which has uniquely the smallest graded Betti numbers among all modules attaining H H. In this paper we extend the previous example of this behavior to an infinite family and demonstrate with a second infinite family that ev