@article {altshuler:classification,
    AUTHOR = {Altshuler, Amos and Bokowski, J{\"u}rgen and Steinberg, Leon},
     TITLE = {The classification of simplicial $3$-spheres with nine
              vertices into polytopes and nonpolytopes},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {31},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {115--124},
      ISSN = {0012-365X},
     CODEN = {DSMHA4},
}

@article {bokowski:polytopal,
    AUTHOR = {Bokowski, J{\"u}rgen and Sturmfels, Bernd},
     TITLE = {Polytopal and nonpolytopal spheres: an algorithmic approach},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {57},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {257--271},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
}

@article{ sturmfels:neighborly, 
author = {Bernd Sturmfels}, 
title = {Neighborly Polytopes and Oriented Matroids}, 
journal = {European Journal of Combinatorics}, 
volume = {9}, 
year ={1988}, 
pages = {537--546}
}


@incollection{seymour,
 author = {Paul D. Seymour},
 title = {Nowhere-zero flows},
 booktitle = {Handbook of combinatorics (vol. 1)},
 year = {1995},
 pages = {289--299},
 publisher = {MIT Press},
}

@book{ahuja,
 author = {Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin},
 title = {Network flows},
 publisher = {Prentice-Hall},
 year = {1993},
}

@book {schrijver:theory,
    AUTHOR = {Schrijver, Alexander},
     TITLE = {Theory of linear and integer programming},
 PUBLISHER = {John Wiley \& Sons Ltd.},
   ADDRESS = {Chichester},
      YEAR = {1986},
     PAGES = {xii+471},
}

@misc{hochstaettler:antisymmetric,
  author = "Winfried Hochst{\"a}ttler and Jaroslav Ne{\v{s}}et{\v{r}}il",
  title = "Antisymmetric Flows in Matroids",
  note = "Submitted for publication", 
  year = 2003
}

@article{goddyn-balanced,
  author = "Luis Goddyn and Petr Hlin{\v{e}}n{\'{y}} and Winfried Hochst{\"{a}}ttler",
  title = "Balanced Signings of Oriented Matroids and Chromatic Number",
  journal = "Combinatorics, Probability and Computing",
  note = "To appear.", 
}

@article{ goddyn-kdcolorings,
  author = "Luis A. Goddyn and Michael Tarsi and Cun-Quan Zhang",
  title = "On (k,d)-Colorings and Fractional Nowhere Zero Flows",
  journal = {Journal of Graph Theory}, 
  volume = {28}, 
  year = {1998}, 
  pages = {155-161}
}

@book {bjorner:oriented,
    AUTHOR = {Bj{\"o}rner, Anders and Las Vergnas, Michel and Sturmfels,
              Bernd and White, Neil and Ziegler, G{\"u}nter M.},
     TITLE = {Oriented matroids},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1999},
   EDITION = {2nd},
     PAGES = {xii+548},
}

@book {oxley:matroid,
    AUTHOR = {Oxley, James G.},
     TITLE = {Matroid theory},
 PUBLISHER = {The Clarendon Press Oxford University Press},
   ADDRESS = {New York},
      YEAR = {1992},
     PAGES = {xii+532},
}

@book {ziegler:lectures,
    AUTHOR = {Ziegler, G{\"u}nter M.},
     TITLE = {Lectures on polytopes},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1995},
     PAGES = {x+370},
}

@misc{oklein, 
  author = {Oliver Klein}, 
  title = "Enummeration nicht notwendig uniformer orientierter {M}atroide und untere {S}chranken f{\"u}r die zirkul{\"a}re {F}lusszahl", 
  note = {Diploma Thesis}, 
  institution = {University of Cologne}, 
  year = {2002}
}

@book {grunbaum:convex,
    AUTHOR = {Branko Gr{\"u}nbaum},
     TITLE = {Convex polytopes, Second edition},
    EDITOR = {Volker Kaibel and Victor Klee and G{\"u}nter M. Ziegler},
 PUBLISHER = {Springer, New York},
      YEAR = {2003}
}

@inproceedings {gale:neighborly, 
     AUTHOR = {Gale, David},
      TITLE = {Neighborly and cyclic polytopes},
     EDITOR = {V. Klee},
  BOOKTITLE = {Proc. Symposia in Pure Mathematics}, 
     VOLUME = {VII}, 
      PAGES = {225-232}, 
INSTITUTION = {American Mathematical Society}, 
    ADDRESS = {Providence RI}, 
       YEAR = {1963},
}

@article{ lee98characterization,
author = {Jon Lee and Matt Scobee},
title = {A characterization of the orientations of ternary matroids},
journal = {Journal of Combinatorial Theory Series B},
volume = {77},
number = {2},
year = {1999},
issn = {0095-8956},
pages = {263--291},
publisher = {Academic Press, Inc.},
}

@article{ bland:orientability,
author = {Robert G. Bland and Michel Las Vergnas},
title = {Orientability of matroids},
journal = {Journal of Combinatorial Theory Series B},
volume = {23},
year = {1978},
pages = {94--123},
publisher = {Academic Press, Inc.},
}

@article{minty, 
author = {George J. Minty}, 
title = {A theorem on $n$-coloring the points of a linear graph}, 
journal = {The American Mathematical Monthly}, 
volume = {69}, 
year = {1962}, 
pages = {623-624}
}

@article{ cordovil:cyclic,
  author = "Raul Cordovil and Pierre Duchet",
  title = "Cyclic Polytopes and Oriented Matroids",
  journal = "European Journal of Combinatorics", 
  volume = "21", 
  year = "2000", 
  pages = "49--64" 
 }

@article{ richter_sturmfels, 
  author = {J{\"u}rgen Richter and Bernd Sturmfels}, 
  title = {On the topology and geometric construction of oriented matroids and convex polytopes}, 
  journal = {Transactions American Mathematical Society}, 
  volume = {325}, 
  year = {1991}, 
  pages = {389--412}
}

@article{kortenkamp, 
  title = {Every simplicial polytope with at most $d+4$ vertices is a quotient of a neighborly polytope}, 
  author = {Ulrich H. Kortenkamp}, 
  journal = {Discrete and Computational Geometry}, 
  volume = {18}, 
  pages = {455--462}, 
  year = {1997}
}

@phdthesis {finschi:graph,
    AUTHOR = {Finschi, Lukas},
     TITLE = {A Graph Theoretical Approach for Reconstruction and Generation of
              Oriented Matroids},
    SCHOOL = {Swiss Federal Institute of Technology ETH Z{\"u}rich},
      YEAR = {2001},
}

@misc{finschi:enumeration,
author = {Lukas Finschi}, 
title = {Catalog of Oriented Matroids}, 
note = {Available at \url{http://www.om.math.ethz.ch/?p=catom}},
year = {2001}
}

@article{lovasz,
  author = {Andreas W. M. Dress and
               L{\'a}szl{\'o} Lov{\'a}sz},
  title = {On some combinatorial properties of algebraic matroids.},
  journal = {Combinatorica},
  volume = {7},
  number = {1},
  year = {1987},
  pages = {39-48}
}

@article{dong, 
author = {Xun Dong}, 
title = {On the Bounded Complex of an Affine Oriented Matroid}, 
journal = {Discrete and Computational Geometry}, 
volume = {35}, 
number = {3}, 
year = {2006}, 
pages = {457--471}
}