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<h3>References</h3>
<p><a id="biBBanchoff65TightEmb3DimPolyMnf" name="biBBanchoff65TightEmb3DimPolyMnf"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ban65</span>] <b class='BibAuthor'>Banchoff, T. F.</b>,
<i class='BibTitle'>Tightly embedded 2-dimensional polyhedral
manifolds</i>,
<span class='BibJournal'>Amer. J. Math.</span>,
<em class='BibVolume'>87</em>
(<span class='BibYear'>1965</span>),
<span class='BibPages'>462--472</span>.
</p>
<p><a id="biBBanchoff74TightPolyKBProjPMB" name="biBBanchoff74TightPolyKBProjPMB"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ban74</span>] <b class='BibAuthor'>Banchoff, T. F.</b>,
<i class='BibTitle'>Tight polyhedral Klein bottles, projective planes, and
M\"obius
bands</i>,
<span class='BibJournal'>Math. Ann.</span>,
<em class='BibVolume'>207</em>
(<span class='BibYear'>1974</span>),
<span class='BibPages'>233--243</span>.
</p>
<p><a id="biBregina" name="biBregina"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BBP+14</span>] <b class='BibAuthor'>Burton, B. A., Budney, R., Pettersson, W. and others,</b>,
<i class='BibTitle'>Regina: normal surface and 3-manifold topology software, Version
4.97</i>
(<span class='BibYear'>1999--2014</span>),
<span class='BibHowpublished'>{\tt http://\allowbreak regina.\allowbreak
sourceforge.\allowbreak
net/}</span>.
</p>
<p><a id="biBBagchi08LBTNormPseudoMnf" name="biBBagchi08LBTNormPseudoMnf"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BD08</span>] <b class='BibAuthor'>Bagchi, B. and Datta, B.</b>,
<i class='BibTitle'>Lower bound theorem for normal pseudomanifolds</i>,
<span class='BibJournal'>Expo. Math.</span>,
<em class='BibVolume'>26</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2008</span>),
<span class='BibPages'>327--351</span>.
</p>
<p><a id="biBBagchi08OnWalkupKd" name="biBBagchi08OnWalkupKd"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BD11</span>] <b class='BibAuthor'>Bagchi, B. and Datta, B.</b>,
<i class='BibTitle'>On Walkup's class mathcal K(d) and a minimal triangulation
of (S^3 dtimes S^1)^#3</i>,
<span class='BibJournal'>Discrete Math.</span>,
<em class='BibVolume'>311</em> (<span class='BibNumber'>12</span>)
(<span class='BibYear'>2011</span>),
<span class='BibPages'>989--995</span>.
</p>
<p><a id="biBBagchi16Tight3Mflds" name="biBBagchi16Tight3Mflds"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BDS16</span>] <b class='BibAuthor'>Bagchi, B., Datta, B. and Spreer, J.</b>,
<i class='BibTitle'>A characterization of tightly triangulated 3-manifolds</i>
(<span class='BibYear'>2016</span>)<br />
(<span class='BibNote'>Preprint, 6 pages, 2 figures</span>),
<span class='BibHowpublished'>\texttt{arXiv:1601.00065 [math.GT]}</span>.
</p>
<p><a id="biBBDSSSepIndex" name="biBBDSSSepIndex"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BDSS15</span>] <b class='BibAuthor'>Burton, B. A., Datta, B., Singh, N. and Spreer, J.</b>,
<i class='BibTitle'>Separation index of graphs and stacked 2-spheres</i>,
<span class='BibJournal'>J. Combin. Theory Ser. A</span>,
<em class='BibVolume'>136</em>
(<span class='BibYear'>2015</span>),
<span class='BibPages'>184--197</span>.
</p>
<p><a id="biBBanchoff97TightSubmSmoothPoly" name="biBBanchoff97TightSubmSmoothPoly"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BK97</span>] <b class='BibAuthor'>Banchoff, T. F. and K{\"u}hnel, W.</b>,
<i class='BibTitle'>Tight submanifolds, smooth and polyhedral</i>,
in <i class='BibBooktitle'>Tight and taut submanifolds (Berkeley, CA,
1994)</i>,
<span class='BibPublisher'>Cambridge Univ. Press</span>,
<span class='BibSeries'>Math. Sci. Res. Inst. Publ.</span>,
<em class='BibVolume'>32</em>,
<span class='BibAddress'>Cambridge</span>
(<span class='BibYear'>1997</span>),
<span class='BibPages'>51--118</span>.
</p>
<p><a id="biBBrehm08EquivMapsTorus" name="biBBrehm08EquivMapsTorus"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BK08</span>] <b class='BibAuthor'>Brehm, U. and K{\"u}hnel, W.</b>,
<i class='BibTitle'>Equivelar maps on the torus</i>,
<span class='BibJournal'>European J. Combin.</span>,
<em class='BibVolume'>29</em> (<span class='BibNumber'>8</span>)
(<span class='BibYear'>2008</span>),
<span class='BibPages'>1843--1861</span>.
</p>
<p><a id="biBBrehm09LatticeTrigE33Torus" name="biBBrehm09LatticeTrigE33Torus"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BK12</span>] <b class='BibAuthor'>Brehm, U. and K{\"u}hnel, W.</b>,
<i class='BibTitle'>Lattice triangulations of E^3 and of the
3-torus</i>,
<span class='BibJournal'>{Israel J. Math.}</span>,
<em class='BibVolume'>189</em>
(<span class='BibYear'>2012</span>),
<span class='BibPages'>97--133</span>.
</p>
<p><a id="biBBreuer98GAP4TypeSystem" name="biBBreuer98GAP4TypeSystem"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL98</span>] <b class='BibAuthor'>Breuer, T. and Linton, S.</b>,
<i class='BibTitle'>The GAP 4 type system: organising algebraic algorithms</i>,
in <i class='BibBooktitle'>Proceedings of the 1998 international symposium on Symbolic and
algebraic
computation</i>,
<span class='BibPublisher'>ACM</span>,
<span class='BibSeries'>ISSAC '98</span>,
<span class='BibAddress'>New York, NY, USA</span>
(<span class='BibYear'>1998</span>),
<span class='BibPages'>38--45</span>.
</p>
<p><a id="biBBjoerner00SimplMnfBistellarFlips" name="biBBjoerner00SimplMnfBistellarFlips"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL00</span>] <b class='BibAuthor'>Bj{\"o}rner, A. and Lutz, F. H.</b>,
<i class='BibTitle'>Simplicial manifolds, bistellar flips and a 16-vertex
triangulation
of the Poincar\'e homology 3-sphere</i>,
<span class='BibJournal'>Experiment. Math.</span>,
<em class='BibVolume'>9</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>2000</span>),
<span class='BibPages'>275--289</span>.
</p>
<p><a id="biBBenedetti13RandomDMT" name="biBBenedetti13RandomDMT"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL14a</span>] <b class='BibAuthor'>Benedetti, B. and Lutz, F. H.</b>,
<i class='BibTitle'>Random discrete Morse theory and a new library of
triangulations</i>,
<span class='BibJournal'>Exp. Math.</span>,
<em class='BibVolume'>23</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2014</span>),
<span class='BibPages'>66--94</span>.
</p>
<p><a id="biBAdiprasito14RDMTII" name="biBAdiprasito14RDMTII"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL14b</span>] <b class='BibAuthor'>K. Adiprasito B. Benedetti, and Lutz, F. H.</b>,
<i class='BibTitle'>Random Discrete Morse Theory II and a Collapsible 5-Manifold
Different from the 5-Ball.</i>
(<span class='BibYear'>2014</span>),
<span class='BibHowpublished'>{\tt arXiv:1404.4239 [math.CO]}, 20 pages, 6 figures, 2
tables</span>.
</p>
<p><a id="biBHomAlg" name="biBHomAlg"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BR08</span>] <b class='BibAuthor'>Barakat, M. and Robertz, D.</b>,
<i class='BibTitle'>\tt homalg: a meta-package for homological algebra</i>,
<span class='BibJournal'>J. Algebra Appl.</span>,
<em class='BibVolume'>7</em> (<span class='BibNumber'>3</span>)
(<span class='BibYear'>2008</span>),
<span class='BibPages'>299--317</span>.
</p>
<p><a id="biBSpreer12VarCyclPolytope" name="biBSpreer12VarCyclPolytope"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BS14</span>] <b class='BibAuthor'>Burton, B. A. and Spreer, J.</b>,
<i class='BibTitle'>Combinatorial Seifert fibred spaces with transitive cyclic
automorphism
group</i>
(<span class='BibYear'>2014</span>)<br />
(<span class='BibNote'>26 pages, 10 figures. To appear in Israel Journal of
Mathematics</span>),
<span class='BibHowpublished'>\texttt{arXiv:1404.3005 [math.GT]}</span>.
</p>
<p><a id="biBCasella01TrigK3MinNumVert" name="biBCasella01TrigK3MinNumVert"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CK01</span>] <b class='BibAuthor'>Casella, M. and K{\"u}hnel, W.</b>,
<i class='BibTitle'>A triangulated K3 surface with the minimum
number of vertices</i>,
<span class='BibJournal'>Topology</span>,
<em class='BibVolume'>40</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2001</span>),
<span class='BibPages'>753--772</span>.
</p>
<p><a id="biBConder09RegMapsOfBdChi" name="biBConder09RegMapsOfBdChi"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Con09</span>] <b class='BibAuthor'>Conder, M. D. E.</b>,
<i class='BibTitle'>Regular maps and hypermaps of Euler characteristic
-1 to
-200</i>,
<span class='BibJournal'>J. Combin. Theory Ser. B</span>,
<em class='BibVolume'>99</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>2009</span>),
<span class='BibPages'>455--459</span>.
</p>
<p><a id="biBDatta07MinTrigManifolds" name="biBDatta07MinTrigManifolds"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Dat07</span>] <b class='BibAuthor'>Datta, B.</b>,
<i class='BibTitle'>Minimal triangulations of manifolds</i>,
<span class='BibJournal'>J. Indian Inst. Sci.</span>,
<em class='BibVolume'>87</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2007</span>),
<span class='BibPages'>429--449</span>.
</p>
<p><a id="biBDumas04Homology" name="biBDumas04Homology"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DHSW11</span>] <b class='BibAuthor'>Dumas, J. -.G., Heckenbach, F., Saunders, B. D. and Welker, V.</b>,
<i class='BibTitle'>Simplicial Homology, v. 1.4.5</i>
(<span class='BibYear'>2001--2011</span>),
<span class='BibHowpublished'>{\url{http://www.cis.udel.edu/~dumas/Homology/}}</span>.
</p>
<p><a id="biBDesbrun08DiscDiffFormCompModel" name="biBDesbrun08DiscDiffFormCompModel"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DKT08</span>] <b class='BibAuthor'>Desbrun, M., Kanso, E. and Tong, Y.</b>,
<i class='BibTitle'>Discrete differential forms for computational modeling</i>,
in <i class='BibBooktitle'>Discrete differential geometry</i>,
<span class='BibPublisher'>Birkh\"auser</span>,
<span class='BibSeries'>Oberwolfach Semin.</span>,
<em class='BibVolume'>38</em>,
<span class='BibAddress'>Basel</span>
(<span class='BibYear'>2008</span>),
<span class='BibPages'>287--324</span>.
</p>
<p><a id="biBEffenberger10Diss" name="biBEffenberger10Diss"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eff11a</span>] <b class='BibAuthor'>Effenberger, F.</b>,
<i class='BibTitle'>Hamiltonian submanifolds of regular polytopes</i>,
<span class='BibPublisher'>Logos Verlag, Berlin</span>
(<span class='BibYear'>2011</span>)<br />
(<span class='BibNote'>Dissertation, University of Stuttgart, 2010</span>).
</p>
<p><a id="biBEffenberger09StackPolyTightTrigMnf" name="biBEffenberger09StackPolyTightTrigMnf"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eff11b</span>] <b class='BibAuthor'>Effenberger, F.</b>,
<i class='BibTitle'>Stacked polytopes and tight triangulations of
manifolds</i>,
<span class='BibJournal'>Journal of Combinatorial Theory, Series A</span>,
<em class='BibVolume'>118</em> (<span class='BibNumber'>6</span>)
(<span class='BibYear'>2011</span>),
<span class='BibPages'>1843 - 1862</span>.
</p>
<p><a id="biBEngstroem09DiscMorseFuncFourierTrans" name="biBEngstroem09DiscMorseFuncFourierTrans"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eng09</span>] <b class='BibAuthor'>Engstr{\"o}m, A.</b>,
<i class='BibTitle'>Discrete Morse functions from Fourier
transforms</i>,
<span class='BibJournal'>Experiment. Math.</span>,
<em class='BibVolume'>18</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2009</span>),
<span class='BibPages'>45--53</span>.
</p>
<p><a id="biBForman95DiscrMorseTheoryCellCompl" name="biBForman95DiscrMorseTheoryCellCompl"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>For95</span>] <b class='BibAuthor'>Forman, R.</b>,
<i class='BibTitle'>A discrete Morse theory for cell complexes</i>,
in <i class='BibBooktitle'>Geometry, topology, \& physics</i>,
<span class='BibPublisher'>Int. Press, Cambridge, MA</span>,
<span class='BibSeries'>Conf. Proc. Lecture Notes Geom. Topology, IV</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>112--125</span>.
</p>
<p><a id="biBFrohmader08FaceVecFlagCompl" name="biBFrohmader08FaceVecFlagCompl"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Fro08</span>] <b class='BibAuthor'>Frohmader, A.</b>,
<i class='BibTitle'>Face vectors of flag complexes</i>,
<span class='BibJournal'>Israel J. Math.</span>,
<em class='BibVolume'>164</em>
(<span class='BibYear'>2008</span>),
<span class='BibPages'>153--164</span>.
</p>
<p><a id="biBJoswig00Polymake" name="biBJoswig00Polymake"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GJ00</span>] <b class='BibAuthor'>Gawrilow, E. and Joswig, M.</b>,
<i class='BibTitle'>polymake: a framework for analyzing convex polytopes</i>,
in <i class='BibBooktitle'>Polytopes---combinatorics and computation (Oberwolfach,
1997)</i>,
<span class='BibPublisher'>Birkh{\"a}user</span>,
<span class='BibSeries'>DMV Sem.</span>,
<em class='BibVolume'>29</em>,
<span class='BibAddress'>Basel</span>
(<span class='BibYear'>2000</span>),
<span class='BibPages'>43--73</span>.
</p>
<p><a id="biBGruenbaum03ConvPoly" name="biBGruenbaum03ConvPoly"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Gr\03</span>] <b class='BibAuthor'>Gr{\"u}nbaum, B.</b>,
<i class='BibTitle'>Convex polytopes</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibEdition'>Second edition</span>,
<span class='BibSeries'>Graduate Texts in Mathematics</span>,
<em class='BibVolume'>221</em>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>2003</span>),
<span class='BibPages'>xvi+468 pages</span><br />
(<span class='BibNote'>Prepared and with a preface by Volker Kaibel, Victor Klee and
G{\"u}nter
M.\ Ziegler</span>).
</p>
<p><a id="biBM2" name="biBM2"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GS</span>] <b class='BibAuthor'>Grayson, D. R. and Stillman, M. E.</b>,
<i class='BibTitle'>Macaulay2, a software system for research
in algebraic geometry</i>,
<span class='BibHowpublished'>Available at
http://www.math.uiuc.edu/Macaulay2/</span>.
</p>
<p><a id="biBHaken61TheoNormFl" name="biBHaken61TheoNormFl"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hak61</span>] <b class='BibAuthor'>Haken, W.</b>,
<i class='BibTitle'>Theorie der Normalfl\"achen</i>,
<span class='BibJournal'>Acta Math.</span>,
<em class='BibVolume'>105</em>
(<span class='BibYear'>1961</span>),
<span class='BibPages'>245--375</span>.
</p>
<p><a id="biBHauser2000" name="biBHauser2000"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hau00</span>] <b class='BibAuthor'>Hauser, H.</b>,
<i class='BibTitle'>Resolution of singularities 1860--1999</i>,
in <i class='BibBooktitle'>Resolution of singularities (Obergurgl, 1997)</i>,
<span class='BibPublisher'>Birkh\"auser</span>,
<span class='BibSeries'>Progr. Math.</span>,
<em class='BibVolume'>181</em>,
<span class='BibAddress'>Basel</span>
(<span class='BibYear'>2000</span>),
<span class='BibPages'>5--36</span>.
</p>
<p><a id="biBHirzebruch1953" name="biBHirzebruch1953"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir53</span>] <b class='BibAuthor'>Hirzebruch, F. E. P.</b>,
<i class='BibTitle'>\"Uber vierdimensionale Riemannsche Fl\"achen mehrdeutiger
analyti\-scher
Funktionen von zwei komplexen Ver\"anderlichen</i>,
<span class='BibJournal'>Math. Ann.</span>,
<em class='BibVolume'>126</em>
(<span class='BibYear'>1953</span>),
<span class='BibPages'>1 -- 22</span>.
</p>
<p><a id="biBHopf1951" name="biBHopf1951"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hop51</span>] <b class='BibAuthor'>Hopf, H.</b>,
<i class='BibTitle'>\"Uber komplex-analytische Mannigfaltigkeiten</i>,
<span class='BibJournal'>Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl. (5)</span>,
<em class='BibVolume'>10</em>
(<span class='BibYear'>1951</span>),
<span class='BibPages'>169--182</span>.
</p>
<p><a id="biBHudson69PLTop" name="biBHudson69PLTop"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hud69</span>] <b class='BibAuthor'>Hudson, J. F. P.</b>,
<i class='BibTitle'>Piecewise linear topology</i>,
<span class='BibPublisher'>W. A. Benjamin, Inc., New York-Amsterdam</span>,
<span class='BibSeries'>University of Chicago Lecture Notes prepared with the assistance
of J. L. Shaneson and J. Lees</span>
(<span class='BibYear'>1969</span>),
<span class='BibPages'>ix+282 pages</span>.
</p>
<p><a id="biBHuppert67EndlGruppen" name="biBHuppert67EndlGruppen"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hup67</span>] <b class='BibAuthor'>Huppert, B.</b>,
<i class='BibTitle'>Endliche Gruppen. I</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibSeries'>Die Grundlehren der Mathematischen Wissenschaften, Band 134</span>,
<span class='BibAddress'>Berlin</span>
(<span class='BibYear'>1967</span>),
<span class='BibPages'>xii+793 pages</span>.
</p>
<p><a id="biBKuehnel99CensusTight" name="biBKuehnel99CensusTight"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>KL99</span>] <b class='BibAuthor'>K{\"u}hnel, W. and Lutz, F. H.</b>,
<i class='BibTitle'>A census of tight triangulations</i>,
<span class='BibJournal'>Period. Math. Hungar.</span>,
<em class='BibVolume'>39</em> (<span class='BibNumber'>1-3</span>)
(<span class='BibYear'>1999</span>),
<span class='BibPages'>161--183</span><br />
(<span class='BibNote'>{D}iscrete geometry and rigidity ({B}udapest, 1999)</span>).
</p>
<p><a id="biBKlee11CentSymmMnfFewVert" name="biBKlee11CentSymmMnfFewVert"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>KN12</span>] <b class='BibAuthor'>Klee, S. and Novik, I.</b>,
<i class='BibTitle'>Centrally symmetric manifolds with few vertices</i>,
<span class='BibJournal'>Adv. Math.</span>,
<em class='BibVolume'>229</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2012</span>),
<span class='BibPages'>487--500</span>.
</p>
<p><a id="biBKneser29ClosedSurfIn3Mflds" name="biBKneser29ClosedSurfIn3Mflds"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Kne29</span>] <b class='BibAuthor'>Kneser, H.</b>,
<i class='BibTitle'>Geschlossene Fl\"achen in dreidimensionalen
Mannigfaltigkeiten</i>,
<span class='BibJournal'>Jahresbericht der deutschen Mathematiker-Vereinigung</span>,
<em class='BibVolume'>38</em>
(<span class='BibYear'>1929</span>),
<span class='BibPages'>248--260</span>.
</p>
<p><a id="biBKirby77PLStructures" name="biBKirby77PLStructures"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>KS77</span>] <b class='BibAuthor'>Kirby, R. C. and Siebenmann, L. C.</b>,
<i class='BibTitle'>Foundational essays on topological manifolds, smoothings, and
triangulations</i>,
<span class='BibPublisher'>Princeton University Press, Princeton, N.J.; University of
Tokyo Press, Tokyo</span>
(<span class='BibYear'>1977</span>),
<span class='BibPages'>vii+355 pages</span><br />
(<span class='BibNote'>With notes by John Milnor and Michael Atiyah,
Annals of Mathematics Studies, No. 88</span>).
</p>
<p><a id="biBKuehnel86HigherDimCsaszar" name="biBKuehnel86HigherDimCsaszar"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>K\t86</span>] <b class='BibAuthor'>K{\"u}hnel, W.</b>,
<i class='BibTitle'>Higher dimensional analogues of
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<span class='BibJournal'>Results Math.</span>,
<em class='BibVolume'>9</em>
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<span class='BibPages'>95--106</span>.
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[<span class='BibKey'>K\t94</span>] <b class='BibAuthor'>K{\"u}hnel, W.</b>,
<i class='BibTitle'>Manifolds in the skeletons of convex polytopes, tightness, and
generalized Heawood inequalities</i>,
in <i class='BibBooktitle'>Polytopes: abstract, convex and computational (Scarborough, ON,
1993)</i>,
<span class='BibPublisher'>Kluwer Acad. Publ.</span>,
<span class='BibSeries'>NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.</span>,
<em class='BibVolume'>440</em>,
<span class='BibAddress'>Dordrecht</span>
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<span class='BibPages'>241--247</span>.
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[<span class='BibKey'>K\t95</span>] <b class='BibAuthor'>K{\"u}hnel, W.</b>,
<i class='BibTitle'>Tight polyhedral submanifolds and tight triangulations</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibSeries'>Lecture Notes in Mathematics</span>,
<em class='BibVolume'>1612</em>,
<span class='BibAddress'>Berlin</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>vi+122 pages</span>.
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[<span class='BibKey'>Kui84</span>] <b class='BibAuthor'>Kuiper, N. H.</b>,
<i class='BibTitle'>Geometry in total absolute curvature theory</i>,
in <i class='BibBooktitle'>Perspectives in mathematics</i>,
<span class='BibPublisher'>Birkh{\"a}user</span>,
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<span class='BibPages'>377--392</span>.
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<p><a id="biBLutz08ManifoldPage" name="biBLutz08ManifoldPage"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lut</span>] <b class='BibAuthor'>Lutz, F. H.</b>,
<i class='BibTitle'>The Manifold Page</i>,
<span class='BibHowpublished'>{\url{http://www.math.tu-berlin.de/diskregeom/stellar}}</span>.
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<p><a id="biBLutz03TrigMnfFewVertVertTrans" name="biBLutz03TrigMnfFewVertVertTrans"></a></p>
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[<span class='BibKey'>Lut03</span>] <b class='BibAuthor'>Lutz, F. H.</b>,
<i class='BibTitle'>Triangulated Manifolds with Few Vertices
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Group Actions</i>,
<span class='BibType'>Ph.D. thesis</span>,
<span class='BibSchool'>TU Berlin</span>
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[<span class='BibKey'>Lut05</span>] <b class='BibAuthor'>Lutz, F. H.</b>,
<i class='BibTitle'>Triangulated Manifolds with Few Vertices:
Combinatorial
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<span class='BibHowpublished'>{\tt arXiv:math/0506372v1 [math.CO]}, Preprint, 37
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<p><a id="biBMcKay84Nauty" name="biBMcKay84Nauty"></a></p>
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[<span class='BibKey'>MP14</span>] <b class='BibAuthor'>McKay, B. D. and Piperno, A.</b>,
<i class='BibTitle'>Practical graph isomorphism, \II\ </i>,
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<em class='BibVolume'>60</em> (<span class='BibNumber'>0</span>)
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<span class='BibPages'>94 - 112</span>.
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[<span class='BibKey'>Pac87</span>] <b class='BibAuthor'>Pachner, U.</b>,
<i class='BibTitle'>Konstruktionsmethoden und das kombinatorische
Hom\"oomorphieproblem
f\"ur Triangulierungen kompakter semilinearer
Mannigfaltigkeiten</i>,
<span class='BibJournal'>Abh. Math. Sem. Uni. Hamburg</span>,
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[<span class='BibKey'>PS15</span>] <b class='BibAuthor'>Paix{\~a}o, J. and Spreer, J.</b>,
<i class='BibTitle'>Random collapsibility and 3-sphere recognition</i>
(<span class='BibYear'>2015</span>)<br />
(<span class='BibNote'>Preprint, 18 pages, 6 figures</span>),
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[<span class='BibKey'>Rin74</span>] <b class='BibAuthor'>Ringel, G.</b>,
<i class='BibTitle'>Map color theorem</i>,
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<span class='BibAddress'>New York</span>
(<span class='BibYear'>1974</span>),
<span class='BibPages'>xii+191 pages</span><br />
(<span class='BibNote'>Die Grundlehren der mathematischen Wissenschaften, Band 209</span>).
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[<span class='BibKey'>RS72</span>] <b class='BibAuthor'>Rourke, C. P. and Sanderson, B. J.</b>,
<i class='BibTitle'>Introduction to piecewise-linear topology</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1972</span>),
<span class='BibPages'>viii+123 pages</span><br />
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[<span class='BibKey'>R\t13</span>] <b class='BibAuthor'>R\"{o}der, M.</b>,
<i class='BibTitle'>GAP package polymaking</i>
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<span class='BibHowpublished'>{\url{https://www.gap-system.org/Packages/polymaking.html}}</span>.
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[<span class='BibKey'>Sch94</span>] <b class='BibAuthor'>Schulz, C.</b>,
<i class='BibTitle'>Polyhedral manifolds on polytopes</i>,
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<span class='BibPages'>291--298</span><br />
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[<span class='BibKey'>SK11</span>] <b class='BibAuthor'>Spreer, J. and K{\"u}hnel, W.</b>,
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[<span class='BibKey'>Soi12</span>] <b class='BibAuthor'>Soicher, L. H.</b>,
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[<span class='BibKey'>Spr11a</span>] <b class='BibAuthor'>Spreer, J.</b>,
<i class='BibTitle'>Blowups, slicings and permutation groups in combinatorial
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[<span class='BibKey'>Spr11b</span>] <b class='BibAuthor'>Spreer, J.</b>,
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[<span class='BibKey'>Spr12</span>] <b class='BibAuthor'>Spreer, J.</b>,
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[<span class='BibKey'>Spr14</span>] <b class='BibAuthor'>Spreer, J.</b>,
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[<span class='BibKey'>Wee99</span>] <b class='BibAuthor'>Weeks, J.</b>,
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[<span class='BibKey'>Wil96</span>] <b class='BibAuthor'>Wilson, D. B.</b>,
<i class='BibTitle'>Generating random spanning trees more quickly than the cover
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[<span class='BibKey'>Zie95</span>] <b class='BibAuthor'>Ziegler, G. M.</b>,
<i class='BibTitle'>Lectures on polytopes</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
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<p> </p>
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