Some Theorems on Convex Polygons

Author:

Altman E.

Abstract

AbstractIn this paper diagonals of various orders in a (strict) convex polygon Pn are considered. The sums of lengths of diagonals of the same order are studied. A relationship between the number of consecutive diagonals which do not intersect a given maximal diagonal and lie on one side of it and the order of the smallest diagonal among them is established. Finally a new proof of a conjecture of P. Erdos, considered already in [1], is given.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliography;Combinatorial Geometry;2011-10-28

2. Computational geometric aspects of rhythm, melody, and voice-leading;Computational Geometry;2010-01

3. On Distinct Distances from a Vertex of a Convex Polygon;Discrete & Computational Geometry;2006-09-29

4. Convex polygons with few intervertex distances;Computational Geometry;1995-09

5. Multiplicities of interpoint distances in finite planar sets;Discrete Applied Mathematics;1995-06

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