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An upper bound for the minimum diameter of integral point sets

✍ Scribed by Heiko Harborth; Arnfried Kemnitz; Meinhard Möller


Publisher
Springer
Year
1993
Tongue
English
Weight
243 KB
Volume
9
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES


An upper bound for the diameter of a pol
✍ David Barnette 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 515 KB

The distance between two vertices of a polytope is the minimum number of edges in a path joining them. The diameter of a polytope is the greatest distance between two vertices of the polytope. We show that if P is a d-dimensional polytope with n facets, then the diameter of P is at most $ $-3(,r -d

An Upper Bound for the Size of Integral
✍ P.M. Voutier 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 739 KB

In this paper, we establish improved upper bounds on the size of integral solutions to hyper- and super-elliptic equations under the conditions of LeVeque (Acta. Arith. IX (1964), 209-219). The proof follows the classical argument of Siegel (J. London Math. Soc. 1 (1926), 66-68), using upper bounds