Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9513551 | Discrete Mathematics | 2005 | 12 Pages |
Abstract
In this paper, we show that every 4-connected maximal plane graph with m finite faces other than the octahedron can be drawn in the plane so that at least (m+3)/2 faces are acute triangles. Moreover, this bound is sharp.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ken-ichi Kawarabayashi, Atsuhiro Nakamoto, Yoshiaki Oda, Mamoru Watanabe,