JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.45, no.4, pp.965-976, 2008 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
Science Citation Index Expanded, Scopus
In this article, we constructively prove that on a surface S with genus g >= 2, there exit maximal geodesic laminations with 7g - 7,...,9g - 9 leaves. Thus, S can have ideal cell- decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g - 7,...,9g - 9 (ideal) 1-cells.