Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10118358 | European Journal of Combinatorics | 2005 | 9 Pages |
Abstract
In this paper, we characterize the convex sets of this geometry: they are exactly the line segments. Given X and the partition V determined by X, we also characterize in easy terms the ordered sets Y=(y1,â¦,yk) that determine the same partition V. This, in particular, extends one of the main results of Combinatorial Mathematics VIII, Geelong, 1980, Lecture Notes in Mathematics, 884 (1981) 136.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
António Guedes de Oliveira, Diogo Oliveira e Silva,