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Upper bounds on ideals in the computably enumerable Turing degrees

✍ Scribed by George Barmpalias; André Nies


Book ID
108054689
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
267 KB
Volume
162
Category
Article
ISSN
0168-0072

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An upper bound on the sum of squares of
✍ D. de Caen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 163 KB

Let G be a simple graph with n vertices, e edges and vertex degrees &, d2 ..... d~. It is proved that d2+ ... +d~<~e(2e/(n-1)+ n-2) when n~>2. This bound does not generalize to all sequences of positive integers. A comparison is made to another upper bound on d 2 +. • -+ d 2, due to Sz6kely et al. (