\begin{thebibliography}{DHSW04}

\bibitem[BD08]{Bagchi08OnWalkupKd}
Bhaskar Bagchi and Basudeb Datta.
\newblock {O}n {W}alkup's class $\mathcal{K}(d)$ and a minimal triangulation of
  a 4-manifold.
\newblock {\tt arXiv:0804.2153v1 [math.GT]}, Preprint, 8 pages, 2008.

\bibitem[BL00]{Bjoerner00SimplMnfBistellarFlips}
Anders Bj{\"o}rner and Frank~H. Lutz.
\newblock {S}implicial manifolds, bistellar flips and a 16-vertex triangulation
  of the {P}oincar{\'e} homology 3-sphere.
\newblock {\em Experiment. Math.}, 9(2):275--289, 2000.

\bibitem[Dat07]{Datta07MinTrigManifolds}
Basudeb Datta.
\newblock {M}inimal triangulations of manifolds.
\newblock {\em J. Indian Inst. Sci.}, 87(4):429--449, 2007.

\bibitem[DHSW04]{Dumas04Homology}
J.-G. Dumas, F.~Heckenbach, B.~D. Saunders, and V.~Welker.
\newblock {S}implicial {H}omology, v. 1.4.2.
\newblock {\url{http://www.cis.udel.edu/~dumas/Homology/}}, 2004.

\bibitem[DKT08]{Desbrun08DiscDiffFormCompModel}
Mathieu Desbrun, Eva Kanso, and Yiying Tong.
\newblock {D}iscrete differential forms for computational modeling.
\newblock In {\em Discrete differential geometry}, volume~38 of {\em
  Oberwolfach Semin.}, pages 287--324. Birkh\"auser, Basel, 2008.

\bibitem[GJ00]{Joswig00Polymake}
Ewgenij Gawrilow and Michael Joswig.
\newblock polymake: a framework for analyzing convex polytopes.
\newblock In {\em Polytopes---combinatorics and computation (Oberwolfach,
  1997)}, volume~29 of {\em DMV Sem.}, pages 43--73. Birkh{\"a}user, Basel,
  2000.

\bibitem[Gr{\"u}03]{Gruenbaum03ConvPoly}
Branko Gr{\"u}nbaum.
\newblock {\em {C}onvex polytopes}, volume 221 of {\em Graduate Texts in
  Mathematics}.
\newblock Springer-Verlag, New York, second edition, 2003.
\newblock Prepared and with a preface by Volker Kaibel, Victor Klee and
  G{\"u}nter M.\ Ziegler.

\bibitem[Hud69]{Hudson69PLTop}
J.~F.~P. Hudson.
\newblock {\em {P}iecewise linear topology}.
\newblock University of Chicago Lecture Notes prepared with the assistance of
  J. L. Shaneson and J. Lees. W. A. Benjamin, Inc., New York-Amsterdam, 1969.

\bibitem[K{\"u}h95]{Kuehnel95TightPolySubm}
Wolfgang K{\"u}hnel.
\newblock {\em {T}ight polyhedral submanifolds and tight triangulations},
  volume 1612 of {\em Lecture Notes in Mathematics}.
\newblock Springer-Verlag, Berlin, 1995.

\bibitem[Lut]{Lutz08ManifoldPage}
Frank~H. Lutz.
\newblock {T}he {M}anifold {P}age.
\newblock {\url{http://www.math.tu-berlin.de/diskregeom/stellar}}.

\bibitem[Lut03]{Lutz03TrigMnfFewVertVertTrans}
Frank~H. Lutz.
\newblock {\em {T}riangulated {M}anifolds with {F}ew {V}ertices and
  {V}ertex-{T}ransitive {G}roup {A}ctions}.
\newblock PhD thesis, TU Berlin, 2003.

\bibitem[Lut05]{Lutz05TrigMnfFewVertCombMnf}
Frank~H. Lutz.
\newblock {T}riangulated {M}anifolds with {F}ew {V}ertices: {C}ombinatorial
  {M}anifolds.
\newblock {\tt arXiv:math/0506372v1 [math.CO]}, Preprint, 37 pages, 2005.

\bibitem[McK84]{McKay84Nauty}
Brendan McKay.
\newblock The nauty page.
\newblock {\url{http://cs.anu.edu.au/people/bdm/nauty/}}, 1984.

\bibitem[Pac87]{Pachner87KonstrMethKombHomeo}
Udo Pachner.
\newblock {K}onstruktionsmethoden und das kombinatorische
  {H}om\"{o}omorphieproblem f\"{u}r {T}riangulierungen kompakter semilinearer
  {M}annigfaltigkeiten.
\newblock {\em Abh. Math. Sem. Uni. Hamburg}, 57:69--86, 1987.

\bibitem[R\"07]{Roeder07Polymaking}
M.~R\"{o}der.
\newblock {GAP} package polymaking.
\newblock {\url{http://www.gap-system.org/Packages/polymaking.html}}, 2007.

\bibitem[RS72]{Rourke72IntrPLTop}
Colin~P. Rourke and Brian~J. Sanderson.
\newblock {\em {I}ntroduction to piecewise-linear topology}.
\newblock Springer-Verlag, New York, 1972.
\newblock Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69.

\bibitem[Soi06]{Soicher06GRAPE}
Leonard~H. Soicher.
\newblock {GRAPE - GRaph Algorithms using PErmutation groups}.
\newblock {\url{http://www.gap-system.org/Packages/grape.html}}, 2006.
\newblock {Version 4.3}.

\bibitem[Zie95]{Ziegler95LectPolytopes}
G{\"u}nter~M. Ziegler.
\newblock {\em {L}ectures on polytopes}, volume 152 of {\em Graduate Texts in
  Mathematics}.
\newblock Springer-Verlag, New York, 1995.

\end{thebibliography}
