An acute triangulation of a polygon Gamma is a triangulation of Gamma into acute triangles. Let f(Gamma) denote the minimum number of triangles necessary for an acute triangulation of Gamma, and let f(n) denote the the maximum value of f (Gamma) for all n-gons Gamma. We prove f (4) = 10.
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Math Res Ctr Hebei Prov, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Yuan, Liping
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE,
2010,
53
(04):
: 393
-
410
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China