@article{avis,
  author    = {David Avis and
               Komei Fukuda},
  title     = {A basis enumeration algorithm for convex hulls and vertex enumeration of arrangements and polyhedra.},
  journal   = {Discrete Computational Geometry},
  volume    = {8},
  year      = {1992},
  pages     = {295-313},
}

@article{bayer,
  author    = {David Bayer and
               Ian Morrison},
  title     = {Standard Bases and Geometric Invariant Theory {I}. {I}nitial
               Ideals and State Polytopes.},
  journal   = {J. Symb. Comput.},
  volume    = {6},
  number    = {2/3},
  year      = {1988},
  pages     = {209-217},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@Misc{cats,
      author = {Jensen, Anders},
      title = {{CaTS}, a software system for toric state polytopes},
      howpublished = {Available at {http://www.soopadoopa.dk/anders/cats/cats.html}}
}

@article{collart,
  author    = {St{\'e}phane Collart and
               Michael Kalkbrener and
               Daniel Mall},
  title     = {Converting Bases with the {G}r{\"o}bner Walk.},
  journal   = {J. Symb. Comput.},
  volume    = {24},
  number    = {3/4},
  year      = {1997},
  pages     = {465-469},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@manual{cdd
, author =	"Komei Fukuda"
, title =	"cddlib reference manual, cddlib Version 093b"
, organization =	"Swiss Federal Institute  of Technology"
, address =	"Lausanne and Z{\"u}rich, Switzerland"
, year =	2003
, sortkey =	"0051"
, note =	"\htmladdnormallink{http://www.ifor.math.ethz.ch/\~{}fukuda/cdd\_home/cdd.html}

  {http://www.ifor.math.ethz.ch/\~{}fukuda/cdd\_home/cdd.html}"
, update =	"99.10 fukuda"
}

@article{fukuda,
  author    = {Komei Fukuda and Anders Jensen and Rekha Thomas},
  title     = {Computing {G}r{\"o}bner Fans.},
  note   = {In preparation.}
}

@misc{gmp,
        author = {Torbj{\"o}rn {Granlund et al.}},
        title = "{GNU} Multiple Precision Arithmetic Library 4.1.2",
        month = {December},
        year = 2002,
        note = "\url{http://swox.com/gmp/}"
}

@article{jensen,
  author    = {Anders Jensen},
  title     = {A non-regular {G}r{\"o}bner Fan.},
  year      = 2005,
  note      = {math.CO/0501352} 
}

@article{mall,
  author    = {Daniel Mall},
  title     = {{G}r\"obner Fans and Projective Schemes},
  journal   = {Progress in Computer Science and Applied Logic},
  volume    = {15},
  year      = {1998},
}

@TechReport{singular,
  author = 	 {G.-M. Greuel and G. Pfister and H. Sch\"onemann},
  title = 	 {{\sc Singular} 2.0.5},
  type =         {{A Computer Algebra System for Polynomial Computations}},
  institution =  {Centre for Computer Algebra},
  address = 	 {University of Kaiserslautern},
  year =         {2004},
  note = 	 {\url{http://www.singular.uni-kl.de}},
}

@article{huber,
  author    = {Birkett Huber and
               Rekha R. Thomas},
  title     = {Computing {G}r{\"o}bner fans of toric ideals.},
  journal   = {Experimental Mathematics},
  volume    = {9},
  number    = {3/4},
  year      = {2000},
  pages     = {321-331}
}

@misc{singularscript,
        author = {Anders Jensen},
        title = "A {S}ingular script for verifying a {Gr{\"o}bner} fan computation.",
        year = 2005,
        note = "\url{http://home.imf.au.dk/ajensen/papers/singularscript.html}"
}

@article{MoRo,
  author    = {Teo Mora and
               Lorenzo Robbiano},
  title     = {The {G}r{\"o}bner Fan of an Ideal.},
  journal   = {J. Symb. Comput.},
  volume    = {6},
  number    = {2/3},
  year      = {1988},
  pages     = {183-208},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

@book{sturmfels,
   author    = {Bernd Sturmfels},
   title     = {Gr{\"o}bner bases and Convex Polytopes},
   year      = {1996},
   publisher = {American Mathematical Society},
   volume    = {8},
   series    = {University Lecture Series},
}

@book{ziegler,
   author    = {G{\"u}nter Ziegler},
   title     = {Lectures on Polytopes},
   year      = {1994},
   publisher = {Springer-Verlag},
   volume    = {152},
   series    = {GTM},
}
