| Article ID: | iaor201111150 |
| Volume: | 151 |
| Issue: | 3 |
| Start Page Number: | 541 |
| End Page Number: | 551 |
| Publication Date: | Dec 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Hai N, An T |
| Keywords: | graphs |
In this paper, we deal with analytic and geometrical properties of geodesic convex sets and geodesic paths. We show that Blaschke’s Theorem for convex sets is also true for geodesic convex sets and geodesic paths in a simple polygon. Some geometrical properties of geodesic triangles are presented. Furthermore, separation of geodesic convex sets is shown.