Polygons in Arrangements Generated by n Points.

Abstract

Generalizing a result of Sklyarskii-Cencov-Yaglom concerning partitions of a convex polygon by its diagonals, the following theorem is established: If F is a polygonal face of the arrangement generated in the plane by m points, then the number of sides of F is at most m if m is odd, and at most m-1 if m is even; both bounds are best possible. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1972
Accession Number
AD0751686

Entities

People

  • Branko Gruenbaum

Organizations

  • University of Washington

Tags

Communities of Interest

  • Air Platforms

Readers

  • Graph Algorithms and Convex Optimization.