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Ramsey numbers r(K3, G) for G ≅ K7 − 2P2 and G ≅ K7 − 3P2

✍ Scribed by Annette Schelten; Ingo Schiermeyer

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
304 KB
Volume
191
Category
Article
ISSN
0012-365X

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✦ Synopsis

their triangle-graph Ramsey numbers without using any computer support.

📜 SIMILAR VOLUMES

Ramsey numbers r(K3, G) for connected gr
Ramsey numbers r(K3, G) for connected graphs G of order seven
✍ Annette Schelten; Ingo Schiermeyer 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 838 KB

The triangle-graph Ramsey numbers are determined for all 814 of the 853 connected graphs of order seven. For the remaining 39 graphs lower and upper bounds are improved.

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The Ramsey number r(H, G) is defined as the minimum N such that for any coloring of the edges of the N-vertex complete graph KN in red and blue, it must contain either a ted H or a blue G. In this paper we show that for any graph G without isolated vertices, r(K,, G)< 2qf 1 where G has q edges. In o

Vibrational dispersion in ground and exc
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Trigonal crystals of K\*ReF, show intense r7 ( 2Tzs) -+r r ( 4AZg) luminescence at 4 and 77 K under 5 14 nm excitation. Extensive vibronic structure is resolved which is dominated by the vibronic origins due to the trigonal components ofthe Ye, vq and Y) modes of the ReFa-ion. The vibrational disper