We show that if \(G\) is a graph embedded on the torus \(S\) and each nonnullhomotopic closed curve on \(S\) intersects \(G\) at least \(r\) times, then \(G\) contains at least \(\left\lfloor\frac{3}{4} r\right\rfloor\) pairwise disjoint nonnullhomotopic circuits. The factor \(\frac{3}{4}\) is best
The successive minima in the geometry of numbers and the distinction between algebraic and transcendental numbers
โ Scribed by Kurt Mahler
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 570 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper we continue to study the spectral norms and their completions ([4]) in the case of the algebraic closure \documentclass{article} \usepackage{amssymb} \pagestyle{empty} \begin{document} $ \overline {\mathbb Q} $ \end{document} of โ in โ. Let \documentclass{article} \usepack
Upper bounds for u + x and ax are proved, where u is the domination number and x the chromatic number of a graph.
Algebraic independence of the numbers -(%ah . .-, sequence of integers satisfying a binary linear recurrence relation and { b h ] h ~o is a periodic sequence of algebraic numbers not identically zero, are studied.
Niederhausen, H., Factorials and Stirling numbers in the algebra of formal Laurent series, Discrete Mathematics 90 (1991) 53-62. In the algebra of formal Laurent series, the falling factoral powers x(") are generalized to {x}'") for all integers n. The Stirling coefficients map the standard basis o