Note on a Conjecture of Wegner

Details Note on a Conjecture of Wegner Note on a Conjecture of Wegner

2008-01-10

arxiv.org/abs/0801.1584v2

Mathematics

Combinatorics

5 pages; Contributions to Algebra and Geometry, Vol.52 No1 April 2011

Scientific paper

10.1007/s13366-011-0004-3

The optimal packings of n unit discs in the plane are known for those natural numbers n, which satisfy certain number theoretic conditions. Their geometric realizations are the extremal Groemer packings (or Wegner packings). But an extremal Groemer packing of n unit discs does not exist for all natural numbers n and in this case, the number n is called exceptional. We are interested in number theoretic characterizations of the exceptional numbers. A counterexample is given to a conjecture of Wegner concerning such a characterization. We further give a characterization of the exceptional numbers, whose shape is closely related to that of Wegner's conjecture.

Affiliated with

Also associated with

No associations

Rating

Note on a Conjecture of Wegner 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 Note on a Conjecture of Wegner, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on a Conjecture of Wegner will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436380