Clean triangulations.

Autor: Hartsfield, Nora, Ringel, Gerhard
Zdroj: Combinatorica; Jun1991, Vol. 11 Issue 2, p145-155, 11p
Abstrakt: A polyhedron on a surface is called a clean triangulation if each face is a triangle and each triangle is a face. Let S (resp. N) be the closed orientable (resp. nonorlentable) surface of genus p. If τ( S) is the smallest possible number of triangles in a clean triangulation of S, the results are: τ( N)=20, τ( S)=24, limτ (S) p=4, limτ (N) p=2 for p→∞. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index