Irreducible triangulations of low genus surfaces
classification
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genusirreduciblesurfacestriangulationssetscompletedetermineexamining
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The complete sets of irreducible triangulations are known for the orientable surfaces with genus of 0, 1, or 2 and for the nonorientable surfaces with genus of 1, 2, 3, or 4. By examining these sets we determine some of the properties of these irreducible triangulations.
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