@article{oai:ynu.repo.nii.ac.jp:00006923, author = {Negami, Seiya}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, 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 $n$ .}, pages = {113--124}, title = {DIAGONAL FLIPS IN TRIANGULATIONS ON CLOSED SURFACES, ESTIMATING UPPER BOUNDS}, volume = {45}, year = {1998} }