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doi:10.1006/jctb.1996.0070 
Copyright © 1996 Academic Press, Inc. All rights reserved.
Regular Article
Diagonal Flips of Triangulations on Closed Surfaces Preserving Specified Properties
Received 12 September 1995.
Available online 24 April 2002.
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Abstract
Consider a class
of triangulations on a closed surfaceF2, closed under vertex splitting. We shall show that any two triangulations with the same and sufficiently large number of vertices which belong to
can be transformed into each other, up to homeomorphism, by a finite sequence of diagonal flips through
. Moreover, if
is closed under homeomorphism, then the condition “up to homeomorphism” can be replaced with “up to isotopy.”
* Research supported by a grant from the Japan Society for the Promotion of Science.
