On the (k, f, l) - chordal polygons
by
Tibor Pogány
Department of Maritime Studies, University of Rijeka
Coauthors: Mirko Radic, Vrbnik, Croatia

The talk generalizes the concept of the k-chordal polygons and the so called (k, \lambda, l) - chordal polygons which are introduced by Radi\'c, respectively Radi\'c and Pogány. Namely, we describe the positive real function f such that f(a₁), ... , f(a_n) are the side lengths of an l - chordal polygon and at the same time a₁, ... , a_n are the side lengths of a k - chordal polygon. After that we give an exact upper bound for the constant \gamma(k, n) defined by

a1+ ... +an > \gamma(k, n)a*,

so that this suffices for the existence of the k - chordal polygon with the side lengths f(a_i); i = 1, 2, ... , n, where a^* : = max_i a_i.

Date received: March 9, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-43.