- G. Amendola. trialistgs11. Available online (http://www.dm.unipi.it/~amendola/files/software/ trialistgs11/). http://www.dm.unipi.it/~amendola/files/software/ trialistgs11/
- D. W. Barnette and A. L. Edelson. "All 2-Manifolds Have Finitely Many Minimal Triangulations." Isr. J. Math. 67 (1988), 123–128.
- J. Bokowski and A. Guedes de Oliveira. "On the Generation of Oriented Matroids." Discrete Comput. Geom. 24 (2000), 197–208.
- M. Brückner. "Geschichtliche Bemerkungen zur Aufzählung der Vielflache." Pr. Realgymn. Zwickau. 578, 1897.
- B. Datta. "Two Dimensional Weak Pseudomanifolds on Seven Vertices." Bol. Soc. Mat. Mex. III. Ser. 5 (1999), 419–426.
- B. Datta and N. Nilakantan. "Two-Dimensional Weak Pseudomanifolds on Eight Vertices." Proc. Indian Acad. Sci. (Math. Sci.) 112 (2002), 257–281.
- R. A. Duke. "Geometric Embedding of Complexes." Am. Math. Mon. 77 (1970), 597–603.
- P. J. Heawood. "Map-Colour Theorem." Quart. J. Pure Appl. Math. 24 (1890), 332–338.
- S. Hougardy, F. H. Lutz, and M. Zelke. "Surface Realization with the Intersection Edge Functional." arXiv:math.MG/0608538, 2006. To appear in Exp. Math.
- M. Jungerman and G. Ringel. "Minimal Triangulations on Orientable Surfaces." Acta Math. 145 (1980), 121–154.
- F. H. Lutz. "Enumeration and Random Realization of Triangulated Surfaces." In Discrete Differential Geometry, edited by A. I. Bobenko et al., Oberwolfach Seminars 38, pp. 235–253. Basel: Birkhäuser, 2008.
- F. H. Lutz. "The Manifold Page." Available online (http://www.math.tu-berlin.de/diskregeom/stellar/). http://www.math.tu-berlin.de/diskregeom/stellar/
- F. H. Lutz and T. Sulanke. "Isomorphism Free Lexicographic Enumeration of Triangulated Surfaces and 3-Manifolds." arXiv:math.CO/0610022, 2006. To appear in Eur. J. Comb.
- T. Rad'o. "Über den Begriff der Riemannschen Fläche." Acta Univ. Szeged 2 (1925), 101–121.
- G. Ringel. "Wie man die geschlossenen nichtorientierbaren Flächen in möglichst wenig Dreiecke zerlegen kann." Math. Ann. 130 (1955), 317–326.
- L. Schewe. "Non-Realizable Minimal Vertex Triangulations of Surfaces: SHowing Non-Realizability using Oriented Matroids and Satisfiability Solvers.", arXiv:0801.2582, 2008.
- E. Steinitz. "Polyeder und Raumeinteilungen." In Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Dritter Band: Geometrie, III.1.2., Heft 9, edited by W. Fr. Meyer and H. Mohrmann, pp. 1–139. Leipzig: B. G. Teubner, 1922.
- E. Steinitz and H. Rademacher, Vorlesungen über die Theorie der Polyeder unter Einschluβ der Elemente der Topologie, reprint der 1934 Auflage, Grundlehren der mathematischen Wissenschaften, 41. New York: Springer-Verlag, 1976.
- T. Sulanke. "Irreducible Triangulations of Low Genus Surfaces." arXiv:math.CO/0606690, 2006.
- T. Sulanke. "Numbers of Triangulated Surfaces." Available online (http://hep.physics.indiana.edu/ tsulanke/graphs/surftri/counts.txt). http://hep.physics.indiana.edu/ tsulanke/graphs/surftri/counts.txt
Decomposition and Enumeration of Triangulated Surfaces
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