DIAGONAL FLIPS IN TRIANGULATIONS ON CLOSED SURFACES, ESTIMATING UPPER BOUNDS
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概要
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Negami has already shown that there is a natural number $N(F^{2})$ for any closed surface $F^{2}$ such that two triangulations on $F^{2}$ with $n$ vertices can be transformed into each other by a sequence of diagonal fliips if $n¥geq N(F^{2})$ . We shall show a cubic upper bound for $N(F^{2})$ with respect to the genus $g$ of $F^{2}$ and a quadratic upper bound for the number of diagonal flips in the sequence with respect to $n$ .
- Yokohama City University and Yokohama National Universityの論文
- 1998-00-00
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