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A new rigorous upper bound for the inverse critical temperature of the two-dimensional Coulomb gas

✍ Scribed by Gastão de Almeida Braga


Publisher
Springer
Year
1991
Tongue
English
Weight
153 KB
Volume
63
Category
Article
ISSN
0022-4715

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A new upper bound for the independence n
✍ Rong Luo; Yue Zhao 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB 👁 2 views

In 1968, Vizing conjectured that if G is a -critical graph with n vertices, then (G) ≤ n / 2, where (G) is the independence number of G. In this paper, we apply Vizing and Vizing-like adjacency lemmas to this problem and prove that (G)<(((5 -6)n) / (8 -6))<5n / 8 if ≥ 6. ᭧ 2010 Wiley