Finitizable set of reductions for polyhedral quadrangulations of closed surfaces
Suzuki, Yusuke
V prispevku obravnavamo izreke v zvezi z generiranjem poliedrskih kvadrangulacij sklenjenih ploskev. Dokažemo, da je množica osmih redukcijskih operacij ▫$\{R_1, \ldots, R_8\}$▫, definiranih za ...poliedrske kvadrangulacije, dokončna za katero koli sklenjeno ploskev ▫$F^2$▫, to pomeni, da obstaja končno mnogo minimalnih poliedrskih kvadrangulacij ▫$F^2$▫, dobljenih z uporabo teh operacij ▫$R_1, \ldots, R_7$▫ in ▫$R_8$▫. Pokažemo tudi, da nobena prava podmnožica redukcijskih operacij ▫$\{R_1, \ldots, R_8\}$▫, definiranih za poliedrske kvadrangulacije torusa, ni dokončna.
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