Non-Convexity

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Suppose S is a planar set. Two points a,b in S 'see each other' via S if [a,b] is included in S . F. Valentine proved in 1957 that if S is closed, and if for every three points of S, at least two see each other via S, then S is a union of three convex sets. The pentagonal star shows that the number three is best possible. We discard the condition that S is closed and show that S is a union of (at most) six convex sets. The number six is best possible.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Non-Convexity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-Convexity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Convexity will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-361266

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.