On characterizing collections arising fromN-gons in the plane

✍ Scribed by Paul H. Edelman; David G. Larman

• Book ID: 104641774
• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 288 KB
• Volume: 33
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00147603

✦ Synopsis

Consider a labeled convex n-gon in the plane and a point x in general position in the interior. We associate with this a collection ~(x) of 3-element sets, namely those 3-element subsets of the vertices which contain x in their interior. We investigate the problem of characterizing those collections of subsets which can be represented in this matter. We give a complete characterization of this and a related problem.