Published in
Elsevier, Discrete Mathematics, 1-3(303), p. 104-116, 2005
DOI: 10.1016/j.disc.2005.01.009
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Acute triangles in triangulations on the plane with minimum degree at least 4
Journal article published in 2005 by
Kenji Koyama,
Atsuhiro Nakamoto
This paper is made freely available by the publisher.
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Abstract
In this paper, we show that every maximal plane graph with minimum degree at least 4 and m finite faces other than an octahedron can be drawn in the plane so that at least (m+3)/2 faces are acute triangles. Moreover, this bound is sharp.