  
  
  [1XReferences[101X
  
  [[20XBan65[120X]   [16XBanchoff,   T.   F.[116X,  [17XTightly  embedded  2-dimensional  polyhedral
  manifolds[117X, [18XAmer. J. Math.[118X, [19X87[119X (1965), 462--472.
  
  [[20XBan74[120X]  [16XBanchoff, T. F.[116X, [17XTight polyhedral Klein bottles, projective planes,
  and Möbius bands[117X, [18XMath. Ann.[118X, [19X207[119X (1974), 233--243.
  
  [[20XBBP+14[120X]  [16XBurton,  B.  A.,  Budney,  R.,  Pettersson, W. and others[116X, [17XRegina:
  normal surface and 3-manifold topology software, Version 4.97[117X (1999--2014).
  
  [[20XBD08[120X]   [16XBagchi,   B.   and  Datta,  B.[116X,  [17XLower  bound  theorem  for  normal
  pseudomanifolds[117X, [18XExpo. Math.[118X, [19X26[119X, 4 (2008), 327--351.
  
  [[20XBD11[120X]  [16XBagchi,  B.  and  Datta,  B.[116X,  [17XOn  Walkup's class mathcal K(d) and a
  minimal  triangulation  of  (S^3  ⨱ S^1)^#3[117X, [18XDiscrete Math.[118X, [19X311[119X, 12 (2011),
  989--995.
  
  [[20XBDS16[120X]  [16XBagchi, B., Datta, B. and Spreer, J.[116X, [17XA characterization of tightly
  triangulated   3-manifolds[117X   (2016),   (Preprint,   6   pages,  2  figures),
  \texttt{arXiv:1601.00065 [math.GT]}.
  
  [[20XBDSS15[120X]  [16XBurton,  B.  A.,  Datta,  B., Singh, N. and Spreer, J.[116X, [17XSeparation
  index of graphs and stacked 2-spheres[117X, [18XJ. Combin. Theory Ser. A[118X, [19X136[119X (2015),
  184--197 (https://doi.org/10.1016/j.jcta.2015.07.001).
  
  [[20XBK97[120X]  [16XBanchoff,  T.  F.  and  Kühnel,  W.[116X,  [17XTight submanifolds, smooth and
  polyhedral[117X,  in  Tight and taut submanifolds (Berkeley, CA, 1994), Cambridge
  Univ. Press, Math. Sci. Res. Inst. Publ., [19X32[119X, Cambridge (1997), 51--118.
  
  [[20XBK08[120X]  [16XBrehm,  U.  and Kühnel, W.[116X, [17XEquivelar maps on the torus[117X, [18XEuropean J.
  Combin.[118X, [19X29[119X, 8 (2008), 1843--1861.
  
  [[20XBK12[120X]  [16XBrehm,  U.  and Kühnel, W.[116X, [17XLattice triangulations of E^3 and of the
  3-torus[117X, [18XIsrael J. Math.[118X, [19X189[119X (2012), 97--133.
  
  [[20XBL98[120X]  [16XBreuer,  T.  and  Linton,  S.[116X,  [17XThe  GAP  4  type system: organising
  algebraic  algorithms[117X, in Proceedings of the 1998 international symposium on
  Symbolic  and  algebraic  computation,  ACM,  ISSAC  '98,  New York, NY, USA
  (1998), 38--45 (https://doi.org/10.1145/281508.281540).
  
  [[20XBL00[120X]  [16XBjörner,  A.  and Lutz, F. H.[116X, [17XSimplicial manifolds, bistellar flips
  and a 16-vertex triangulation of the Poincaré homology 3-sphere[117X, [18XExperiment.
  Math.[118X, [19X9[119X, 2 (2000), 275--289.
  
  [[20XBL14[120X] [16XBenedetti, B. and Lutz, F. H.[116X, [17XRandom discrete Morse theory and a new
  library of triangulations[117X, [18XExp. Math.[118X, [19X23[119X, 1 (2014), 66--94.
  
  [[20XBR08[120X]  [16XBarakat,  M.  and  Robertz,  D.[116X,  [17X\tt  homalg:  a  meta-package  for
  homological   algebra[117X,   [18XJ.   Algebra   Appl.[118X,   [19X7[119X,   3   (2008),   299--317
  (https://doi.org/10.1142/S0219498808002813).
  
  [[20XBS14[120X]  [16XBurton,  B.  A.  and Spreer, J.[116X, [17XCombinatorial Seifert fibred spaces
  with  transitive cyclic automorphism group[117X (2014), (26 pages, 10 figures. To
  appear   in   Israel   Journal   of   Mathematics),  \texttt{arXiv:1404.3005
  [math.GT]}.
  
  [[20XCK01[120X]  [16XCasella,  M.  and  Kühnel,  W.[116X,  [17XA  triangulated K3 surface with the
  minimum number of vertices[117X, [18XTopology[118X, [19X40[119X, 4 (2001), 753--772.
  
  [[20XCon09[120X] [16XConder, M. D. E.[116X, [17XRegular maps and hypermaps of Euler characteristic
  -1 to -200[117X, [18XJ. Combin. Theory Ser. B[118X, [19X99[119X, 2 (2009), 455--459.
  
  [[20XDat07[120X]  [16XDatta,  B.[116X,  [17XMinimal  triangulations  of manifolds[117X, [18XJ. Indian Inst.
  Sci.[118X, [19X87[119X, 4 (2007), 429--449.
  
  [[20XDHSW11[120X]  [16XDumas,  J.  -.G.,  Heckenbach, F., Saunders, B. D. and Welker, V.[116X,
  [17XSimplicial Homology, v. 1.4.5[117X (2001--2011).
  
  [[20XDKT08[120X] [16XDesbrun, M., Kanso, E. and Tong, Y.[116X, [17XDiscrete differential forms for
  computational  modeling[117X,  in  Discrete  differential  geometry,  Birkhäuser,
  Oberwolfach Semin., [19X38[119X, Basel (2008), 287--324.
  
  [[20XEff11a[120X]  [16XEffenberger,  F.[116X,  [17XHamiltonian  submanifolds of regular polytopes[117X,
  Logos Verlag, Berlin (2011), (Dissertation, University of Stuttgart, 2010).
  
  [[20XEff11b[120X]  [16XEffenberger,  F.[116X,  [17XStacked  polytopes  and tight triangulations of
  manifolds[117X,  [18XJournal of Combinatorial Theory, Series A[118X, [19X118[119X, 6 (2011), 1843 -
  1862 (https://doi.org/DOI:%2010.1016/j.jcta.2011.03.003).
  
  [[20XEng09[120X]  [16XEngström,  A.[116X,  [17XDiscrete  Morse  functions from Fourier transforms[117X,
  [18XExperiment. Math.[118X, [19X18[119X, 1 (2009), 45--53.
  
  [[20XFor95[120X] [16XForman, R.[116X, [17XA discrete Morse theory for cell complexes[117X, in Geometry,
  topology,  \&  physics, Int. Press, Cambridge, MA, Conf. Proc. Lecture Notes
  Geom. Topology, IV (1995), 112--125.
  
  [[20XFro08[120X]  [16XFrohmader, A.[116X, [17XFace vectors of flag complexes[117X, [18XIsrael J. Math.[118X, [19X164[119X
  (2008), 153--164.
  
  [[20XGJ00[120X]  [16XGawrilow,  E.  and  Joswig,  M.[116X, [17Xpolymake: a framework for analyzing
  convex polytopes[117X, in Polytopes---combinatorics and computation (Oberwolfach,
  1997), Birkhäuser, DMV Sem., [19X29[119X, Basel (2000), 43--73.
  
  [[20XGr\03[120X]  [16XGr\"unbaum,  B.[116X, [17XConvex polytopes[117X, Springer-Verlag, Second edition,
  Graduate  Texts  in  Mathematics,  [19X221[119X,  New  York  (2003),  xvi+468  pages,
  (Prepared  and  with  a preface by Volker Kaibel, Victor Klee and Günter M.\
  Ziegler).
  
  [[20XGS[120X]  [16XGrayson,  D.  R. and Stillman, M. E.[116X, [17XMacaulay2, a software system for
  research        in        algebraic       geometry[117X,       Available       at
  http://www.math.uiuc.edu/Macaulay2/.
  
  [[20XHak61[120X]  [16XHaken,  W.[116X,  [17XTheorie  der  Normalflächen[117X,  [18XActa  Math.[118X, [19X105[119X (1961),
  245--375.
  
  [[20XHau00[120X] [16XHauser, H.[116X, [17XResolution of singularities 1860--1999[117X, in Resolution of
  singularities  (Obergurgl,  1997),  Birkhäuser,  Progr.  Math.,  [19X181[119X,  Basel
  (2000), 5--36.
  
  [[20XHir53[120X]  [16XHirzebruch,  F.  E.  P.[116X,  [17XÜber vierdimensionale Riemannsche Flächen
  mehrdeutiger  analytischer  Funktionen  von  zwei  komplexen Veränderlichen[117X,
  [18XMath. Ann.[118X, [19X126[119X (1953), 1 -- 22.
  
  [[20XHop51[120X]  [16XHopf,  H.[116X, [17XÜber komplex-analytische Mannigfaltigkeiten[117X, [18XUniv. Roma.
  Ist. Naz. Alta Mat. Rend. Mat. e Appl. (5)[118X, [19X10[119X (1951), 169--182.
  
  [[20XHud69[120X]  [16XHudson,  J. F. P.[116X, [17XPiecewise linear topology[117X, W. A. Benjamin, Inc.,
  New  York-Amsterdam,  University  of Chicago Lecture Notes prepared with the
  assistance of J. L. Shaneson and J. Lees (1969), ix+282 pages.
  
  [[20XHup67[120X]  [16XHuppert,  B.[116X, [17XEndliche Gruppen. I[117X, Springer-Verlag, Die Grundlehren
  der Mathematischen Wissenschaften, Band 134, Berlin (1967), xii+793 pages.
  
  [[20XKL99[120X] [16XKühnel, W. and Lutz, F. H.[116X, [17XA census of tight triangulations[117X, [18XPeriod.
  Math.  Hungar.[118X,  [19X39[119X,  1-3  (1999), 161--183, (Discrete geometry and rigidity
  (Budapest, 1999)).
  
  [[20XKL14[120X]  [16XK.  Adiprasito  B.  Benedetti and Lutz, F. H.[116X, [17XRandom Discrete Morse
  Theory  II  and  a Collapsible 5-Manifold Different from the 5-Ball.[117X (2014),
  {\tt arXiv:1404.4239 [math.CO]}, 20 pages, 6 figures, 2 tables.
  
  [[20XKN12[120X]  [16XKlee,  S.  and  Novik,  I.[116X,  [17XCentrally  symmetric manifolds with few
  vertices[117X, [18XAdv. Math.[118X, [19X229[119X, 1 (2012), 487--500.
  
  [[20XKne29[120X]    [16XKneser,    H.[116X,    [17XGeschlossene   Flächen   in   dreidimensionalen
  Mannigfaltigkeiten[117X, [18XJahresbericht der deutschen Mathematiker-Vereinigung[118X, [19X38[119X
  (1929), 248--260.
  
  [[20XKS77[120X]   [16XKirby,  R.  C.  and  Siebenmann,  L.  C.[116X,  [17XFoundational  essays  on
  topological  manifolds, smoothings, and triangulations[117X, Princeton University
  Press,  Princeton,  N.J.;  University  of Tokyo Press, Tokyo (1977), vii+355
  pages,  (With notes by John Milnor and Michael Atiyah, Annals of Mathematics
  Studies, No. 88).
  
  [[20XKüh86[120X]  [16XKühnel,  W.[116X,  [17XHigher  dimensional analogues of Cs\'asz\'ar's torus[117X,
  [18XResults Math.[118X, [19X9[119X (1986), 95--106 (https://doi.org/10.1007/BF03322352).
  
  [[20XKüh94[120X]  [16XKühnel,  W.[116X,  [17XManifolds  in  the  skeletons  of  convex  polytopes,
  tightness,  and  generalized  Heawood  inequalities[117X, in Polytopes: abstract,
  convex  and  computational (Scarborough, ON, 1993), Kluwer Acad. Publ., NATO
  Adv. Sci. Inst. Ser. C Math. Phys. Sci., [19X440[119X, Dordrecht (1994), 241--247.
  
  [[20XKüh95[120X]  [16XKühnel, W.[116X, [17XTight polyhedral submanifolds and tight triangulations[117X,
  Springer-Verlag,  Lecture  Notes in Mathematics, [19X1612[119X, Berlin (1995), vi+122
  pages.
  
  [[20XKui84[120X]  [16XKuiper,  N.  H.[116X,  [17XGeometry  in  total absolute curvature theory[117X, in
  Perspectives in mathematics, Birkhäuser, Basel (1984), 377--392.
  
  [[20XLut[120X] [16XLutz, F. H.[116X, [17XThe Manifold Page[117X.
  
  [[20XLut03[120X]   [16XLutz,   F.  H.[116X,  [17XTriangulated  Manifolds  with  Few  Vertices  and
  Vertex-Transitive Group Actions[117X, Ph.D. thesis, TU Berlin (2003).
  
  [[20XLut05[120X] [16XLutz, F. H.[116X, [17XTriangulated Manifolds with Few Vertices: Combinatorial
  Manifolds[117X (2005), {\tt arXiv:math/0506372v1 [math.CO]}, Preprint, 37 pages.
  
  [[20XMP14[120X]  [16XMcKay,  B.  D.  and  Piperno,  A.[116X,  [17XPractical graph isomorphism, II[117X,
  [18XJournal      of     Symbolic     Computation[118X,     [19X60[119X     (2014),     94--112
  (https://doi.org/10.1016/j.jsc.2013.09.003).
  
  [[20XPac87[120X]   [16XPachner,   U.[116X,   [17XKonstruktionsmethoden   und  das  kombinatorische
  Homöomorphieproblem     für    Triangulierungen    kompakter    semilinearer
  Mannigfaltigkeiten[117X, [18XAbh. Math. Sem. Uni. Hamburg[118X, [19X57[119X (1987), 69--86.
  
  [[20XPS15[120X]  [16XPaixão,  J.  and  Spreer,  J.[116X,  [17XRandom  collapsibility  and 3-sphere
  recognition[117X     (2015),     (Preprint,     18     pages,     6     figures),
  \texttt{arXiv:1509.07607 [math.GT]}.
  
  [[20XRin74[120X]  [16XRingel,  G.[116X,  [17XMap  color theorem[117X, Springer-Verlag, New York (1974),
  xii+191  pages,  (Die  Grundlehren  der  mathematischen Wissenschaften, Band
  209).
  
  [[20XRöd13[120X] [16XRöder, M.[116X, [17XGAP package polymaking[117X (2013).
  
  [[20XRS72[120X]  [16XRourke, C. P. and Sanderson, B. J.[116X, [17XIntroduction to piecewise-linear
  topology[117X,  Springer-Verlag, New York (1972), viii+123 pages, (Ergebnisse der
  Mathematik und ihrer Grenzgebiete, Band 69).
  
  [[20XSch94[120X]  [16XSchulz,  C.[116X,  [17XPolyhedral  manifolds  on polytopes[117X, [18XRend. Circ. Mat.
  Palermo  (2) Suppl.[118X, [19X35[119X (1994), 291--298, (First International Conference on
  Stochastic Geometry, Convex Bodies and Empirical Measures (Palermo, 1993)).
  
  [[20XSK11[120X]  [16XSpreer,  J.  and  Kühnel,  W.[116X,  [17XCombinatorial  properties  of the K3
  surface:  Simplicial  blowups and slicings[117X, [18XExperiment. Math.[118X, [19X20[119X, 2 (2011),
  201--216.
  
  [[20XSoi12[120X]  [16XSoicher,  L.  H.[116X, [17XGRAPE - GRaph Algorithms using PErmutation groups[117X
  (2012), ({Version 4.6.1}).
  
  [[20XSpa56[120X]  [16XSpanier,  E.  H.[116X,  [17XThe  homology  of Kummer manifolds[117X, [18XProc. AMS[118X, [19X7[119X
  (1956), 155--160.
  
  [[20XSpa99[120X]   [16XSparla,   E.[116X,   [17XA   new  lower  bound  theorem  for  combinatorial
  2k-manifolds[117X, [18XGraphs Combin.[118X, [19X15[119X, 1 (1999), 109--125.
  
  [[20XSpr11a[120X]   [16XSpreer,   J.[116X,   [17XBlowups,   slicings  and  permutation  groups  in
  combinatorial  topology[117X,  Ph.D.  thesis,  Logos Verlag Berlin, University of
  Stuttgart (2011), 251 pages, (Ph.D. thesis).
  
  [[20XSpr11b[120X]  [16XSpreer,  J.[116X,  [17XNormal  surfaces as combinatorial slicings[117X, [18XDiscrete
  Math.[118X,            [19X311[119X,            14            (2011),           1295--1309
  (https://doi.org/10.1016/j.disc.2011.03.013).
  
  [[20XSpr12[120X]  [16XSpreer,  J.[116X,  [17XPartitioning the triangles of the cross polytope into
  surfaces[117X,  [18X{Beitr.  Algebra  Geom. / Contributions to Algebra and Geometry}[118X,
  [19X53[119X, 2 (2012), 473--486 (https://doi.org/10.1007/s13366-011-0083-1).
  
  [[20XSpr14[120X]   [16XSpreer,  J.[116X,  [17XCombinatorial  3-manifolds  with  transitive  cyclic
  symmetry[117X,    [18XDiscrete    Comput.    Geom.[118X,    [19X51[119X,    2    (2014),   394--426
  (https://doi.org/10.1007/s00454-013-9560-7).
  
  [[20XWee99[120X] [16XWeeks, J.[116X, [17XSnapPea (Software for hyperbolic 3-manifolds)[117X (1999).
  
  [[20XWil96[120X]  [16XWilson,  D.  B.[116X, [17XGenerating random spanning trees more quickly than
  the  cover time[117X, in Proceedings of the Twenty-eighth Annual ACM Symposium on
  the  Theory  of  Computing  (Philadelphia,  PA, 1996), ACM, New York (1996),
  296--303.
  
  [[20XZie95[120X]  [16XZiegler,  G.  M.[116X,  [17XLectures on polytopes[117X, Springer-Verlag, Graduate
  Texts in Mathematics, [19X152[119X, New York (1995), x+370 pages.
  
  
  
  [32X
