Acute triangles in 4-connected maximal plane graphs

نویسندگان

  • Ken-ichi Kawarabayashi
  • Atsuhiro Nakamoto
  • Yoshiaki Oda
  • Mamoru Watanabe
چکیده

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. © 2005 Published by Elsevier B.V.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 292  شماره 

صفحات  -

تاریخ انتشار 2005