00 9 Irreducible Triangulations Are Small
نویسندگان
چکیده
A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the surface. We prove that every irreducible triangulation of a surface with Euler genus g ≥ 1 has at most 13g − 4 vertices. The best previous bound was 171g − 72.
منابع مشابه
Diagonal flips in outer-Klein-bottle triangulations
We determine the complete list of the irreducible outer-Klein-bottle triangulations, and we prove that any two outer-Klein-bottle triangulations with the same number of vertices can be transformed into each other by a sequence of diagonal ips, up to homeomorphism. c © 2000 Elsevier Science B.V. All rights reserved.
متن کاملIrreducible triangulations are small
Article history: Received 9 July 2009 Available online 9 February 2010
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