Bibliography

java.lang.Object
- net.sf.oriented.omi.Bibliography

```
public class Bibliography
extends Object
```
A somewhat disorganized list of references from the literature. The motivation is to provide sufficient information to find the links, but this list itself is not intended to be tidy, sorry!

Author:

jeremycarroll

Field Summary

Fields
Modifier and Type	Field and Description
`static String`	`agarwalAndSharir2002` [Agarwal and Sharir, 2002] Agarwal, P.
`static String`	`björnerEtAl1999` [Björner et al., 1999] Björner, A., Las Vergnas, M., Sturmfels, B., White, N., and Ziegler, G.
`static String`	`carroll2000a` [Carroll, 2000a] Carroll, J.
`static String`	`carroll2000b` [Carroll, 2000b] — (2000b).
`static String`	`carroll2000c` [Carroll, 2000c] — (2000c).
`static String`	`carroll2000d` [Carroll, 2000d] — (2000d).
`static String`	`carroll2006` [Carroll, 2006] — (2006).
`static String`	`carver1922` [Carver, 1922] Carver, W.
`static String`	`ceva1678` [Ceva, 1678] Ceva, G.
`static String`	`coxeter1995` [Coxeter, 1995] Coxeter, H.
`static String`	`euclidC300BC` [Euclid, c300BC] Euclid (c300BC).
`static String`	`felsner1997` [Felsner, 1997] Felsner, S.
`static String`	`felsnerAndKriegel1999` [Felsner and Kriegel, 1999] Felsner, S.
`static String`	`felsnerAndWeil1999` [Felsner and Weil, 1999] Felsner, S.
`static String`	`felsnerAndZiegler2001` [Felsner and Ziegler, 2001] Felsner, S.
`static String`	`finschi2001` [Finschi, 2001]
`static String`	`folkmanAndLawrence1978` [Folkman and Lawrence, 1978] Folkman, J.
`static String`	`gioanAndLasVergnas2004` [Gioan and Las Vergnas, 2004] Gioan, E.
`static String`	`grünbaum1969` [Grünbaum, 1969] Grünbaum, B.
`static String`	`jaudonAndParlier2006` [Jaudon and Parlier, 2006] Jaudon, G.
`static String`	`lasVergnas1986` [Las Vergnas, 1986] Las Vergnas, M.
`static String`	`lawrence1983` [Lawrence, 1983] Lawrence, J.
`static String`	`levi1926` [Levi, 1926] Levi, F.
`static String`	`mnev1988` [Mnev, 1988] Mnev, N.
`static String`	`motzkin1933` [Motzkin, 1933] Motzkin, T.
`static String`	`motzkin1983` [Motzkin, 1983] Motzkin, T.
`static String`	`plücker1835` [Plücker, 1835] Plücker, J.
`static String`	`richterGebert1996` [Richter-Gebert, 1996] Richter-Gebert, J.
`static String`	`richterGebertAndSturmfels1991` [Richter-Gebert and Sturmfels, 1991] Richter-Gebert, J.
`static String`	`ringel1956` [Ringel, 1956] Ringel, G.
`static String`	`sendov1995` [Sendov, 1995] Sendov, B.
`static String`	`sharirAndSmorodinsky2001` [Sharir and Smorodinsky, 2001] Sharir, M.
`static String`	`shor1991` [Shor, 1991] Shor, P.
`static String`	`suvorov1988` [Suvorov, 1988]
`static String`	`tsukamoto2013` [Tsukamoto, 2013]
`static String`	`πάπποςAndJones1986a` [Pappus and Jones, 1986a] Pappus and Jones, A.
`static String`	`πάπποςAndJones1986b` [Pappus and Jones, 1986b] — (1986b).
`static String`	`πάπποςC340` [Pappus, c340] Pappus (c340).

Method Summary
- Methods inherited from class java.lang.Object
  equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - agarwalAndSharir2002
```
public static final String agarwalAndSharir2002
```
    [Agarwal and Sharir, 2002] Agarwal, P. and Sharir, M. (2002). Pseudoline arrangements: Duality, algorithms, and applications. In Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms.
    
    See Also:
    Constant Field Values
  - björnerEtAl1999
```
public static final String björnerEtAl1999
```
    [Björner et al., 1999] Björner, A., Las Vergnas, M., Sturmfels, B., White, N., and Ziegler, G. M. (1999). Oriented matroids. Cambridge University Press, Cambridge, 2nd edition.
    
    See Also:
    Constant Field Values
  - carroll2000a
```
public static final String carroll2000a
```
    [Carroll, 2000a] Carroll, J. J. (2000a). Betweenness in polar coordinates. Tech. Report HPL-2000-71, HP Labs.
    
    See Also:
    Constant Field Values
  - carroll2000b
```
public static final String carroll2000b
```
    [Carroll, 2000b] — (2000b). Drawing straight lines. Tech. Report HPL-2000-72, HP Labs.
    
    See Also:
    Constant Field Values
  - carroll2000c
```
public static final String carroll2000c
```
    [Carroll, 2000c] — (2000c). Drawing venn triangles. Tech. Report HPL-2000-73, HP Labs.
    
    See Also:
    Constant Field Values
  - carroll2000d
```
public static final String carroll2000d
```
    [Carroll, 2000d] — (2000d). The sharpness of circular saws. Tech. Report HPL-2000-74, HP Labs.
    
    See Also:
    Constant Field Values
  - carroll2006
```
public static final String carroll2006
```
    [Carroll, 2006] — (2006). Products of sines in two simple arrangements of six lines. Tech. Report HPL-2006-36, HP Labs.
    
    See Also:
    Constant Field Values
  - carver1922
```
public static final String carver1922
```
    [Carver, 1922] Carver, W. B. (1922). Systems of linear inequalities. The Annals of Mathematics, 2nd Ser., 23(3):212–220.
    
    See Also:
    Constant Field Values
  - ceva1678
```
public static final String ceva1678
```
    [Ceva, 1678] Ceva, G. (1678). de lineis rectis se invicem secantibus statica constructio. Ludovici Montiae, Mediolanum (Milan).
    
    See Also:
    Constant Field Values
  - coxeter1995
```
public static final String coxeter1995
```
    [Coxeter, 1995] Coxeter, H. (1995). Some applications of trilinear coordinates. Linear Algebra and its Applications, 226-228:375–388.
    
    See Also:
    Constant Field Values
  - euclidC300BC
```
public static final String euclidC300BC
```
    [Euclid, c300BC] Euclid (c300BC). Porisms (lost). Alexandria.
    
    See Also:
    Constant Field Values
  - felsner1997
```
public static final String felsner1997
```
    [Felsner, 1997] Felsner, S. (1997). On the number of arrangements of pseudolines. Discrete Comput. Geom., 18(3):257–267.
    
    See Also:
    Constant Field Values
  - felsnerAndKriegel1999
```
public static final String felsnerAndKriegel1999
```
    [Felsner and Kriegel, 1999] Felsner, S. and Kriegel, K. (1999). Triangles in Euclidean arrangements. Discrete Comput. Geom., 22(3):429–438.
    
    See Also:
    Constant Field Values
  - felsnerAndWeil1999
```
public static final String felsnerAndWeil1999
```
    [Felsner and Weil, 1999] Felsner, S. and Weil, H. (1999). Sweeps, arrangements and signotopes.
    
    See Also:
    Constant Field Values
  - felsnerAndZiegler2001
```
public static final String felsnerAndZiegler2001
```
    [Felsner and Ziegler, 2001] Felsner, S. and Ziegler, G. M. (2001). Zonotopes associated with higher Bruhat orders. Discrete Mathematics, 241(1-3):301–312.
    
    See Also:
    Constant Field Values
  - finschi2001
```
public static final String finschi2001
```
    [Finschi, 2001]
```
 Finschi:893522,
      author       = "Finschi, Lukas",
      title        = "A graph theoretical approach for reconstruction and
                      generation of oriented matroids",
      school       = "Mathematische Wissenschaften ETH Zürich",
      address      = "Zürich",
      year         = "2001",
```
    See Also:
    Constant Field Values
  - folkmanAndLawrence1978
```
public static final String folkmanAndLawrence1978
```
    [Folkman and Lawrence, 1978] Folkman, J. and Lawrence, J. (1978). Oriented matroids. J. Combin. Theory Ser. B, 25(2):199–236.
    
    See Also:
    Constant Field Values
  - gioanAndLasVergnas2004
```
public static final String gioanAndLasVergnas2004
```
    [Gioan and Las Vergnas, 2004] Gioan, E. and Las Vergnas, M. (2004). Bases, reorientations, and linear programming in uniform and rank 3 oriented matroids. Advances in Applied Mathematics, 32:212–238.
    
    See Also:
    Constant Field Values
  - grünbaum1969
```
public static final String grünbaum1969
```
    [Grünbaum, 1969] Grünbaum, B. (1969). The Importance of Being Straight. In Proc. 12th Biennual Intern. Seminar of Canadian Math. Congress, pages 243–254, Vancouver.
    
    See Also:
    Constant Field Values
  - jaudonAndParlier2006
```
public static final String jaudonAndParlier2006
```
    [Jaudon and Parlier, 2006] Jaudon, G. and Parlier, H. (2006). On angles formed by N points of the Euclidean and the hyperbolic planes. arXiv:math/0603156v2.
    
    See Also:
    Constant Field Values
  - lasVergnas1986
```
public static final String lasVergnas1986
```
    [Las Vergnas, 1986] Las Vergnas, M. (1986). Order properties of lines in the plane and a conjecture of G. Ringel. J. Combinatorial Theory Ser. B, 41:246–249.
    
    See Also:
    Constant Field Values
  - lawrence1983
```
public static final String lawrence1983
```
    [Lawrence, 1983] Lawrence, J. (1983). Lopsided sets and orthant-intersection by convex sets. Pacific J. Math., 104:155–173.
    
    See Also:
    Constant Field Values
  - levi1926
```
public static final String levi1926
```
    [Levi, 1926] Levi, F. (1926). Die teilung der projektiven ebene durch gerade oder pseudogerade. Ber. Math.-Phys. Kl Sächs. Akad. Wiss., 78:256–267.
    
    See Also:
    Constant Field Values
  - mnev1988
```
public static final String mnev1988
```
    [Mnev, 1988] Mnev, N. E. (1988). The universality theorems on the classification problem of configuration varieties and convex polytopes varieties. In Topology and geometry—Rohlin Seminar, volume 1346 of Lecture Notes in Math., pages 527–543. Springer, Berlin.
    
    See Also:
    Constant Field Values
  - motzkin1933
```
public static final String motzkin1933
```
    [Motzkin, 1933] Motzkin, T. S. (1933). Contributions to the Theory of Linear Inequalities. PhD thesis, University of Basel. Translated by D.R. Fulkerson, 1952; in [Motzkin, 983].
    
    See Also:
    Constant Field Values
  - motzkin1983
```
public static final String motzkin1983
```
    [Motzkin, 1983] Motzkin, T. S. (1983). Theodore S. Motzkin: Select Papers. Birkhäuser.
    
    See Also:
    Constant Field Values
  - πάπποςC340
```
public static final String πάπποςC340
```
    [Pappus, c340] Pappus (c340). Συναγωγή or Collection . Alexandria.
    
    See Also:
    Constant Field Values
  - πάπποςAndJones1986a
```
public static final String πάπποςAndJones1986a
```
    [Pappus and Jones, 1986a] Pappus and Jones, A. (1986a). Book 7 of the Collection: Part 1. Introduction, text and translation. Springer-Verlag, New York.
    
    See Also:
    Constant Field Values
  - πάπποςAndJones1986b
```
public static final String πάπποςAndJones1986b
```
    [Pappus and Jones, 1986b] — (1986b). Book 7 of the Collection: Part 2. Commentary, index, and figures. Springer-Verlag, New York.
    
    See Also:
    Constant Field Values
  - plücker1835
```
public static final String plücker1835
```
    [Plücker, 1835] Plücker, J. (1835). System der analytischen Geometrie, auf neue betrachtungsweisen gegrundet . . .. Duncker und Humblot, Berlin.
    
    See Also:
    Constant Field Values
  - richterGebert1996
```
public static final String richterGebert1996
```
    [Richter-Gebert, 1996] Richter-Gebert, J. (1996). Two interesting oriented matroids. Documenta Mathematica, (1):137–148.
    
    See Also:
    Constant Field Values
  - richterGebertAndSturmfels1991
```
public static final String richterGebertAndSturmfels1991
```
    [Richter-Gebert and Sturmfels, 1991] Richter-Gebert, J. and Sturmfels, B. (1991). On the topology and geometric construction of oriented matroids and convex polytopes. Transactions Amer. Math. Soc., 325:389–412.
    
    See Also:
    Constant Field Values
  - ringel1956
```
public static final String ringel1956
```
    [Ringel, 1956] Ringel, G. (1956). Teilungen der Ebene durch Geraden oder topologische Geraden. Math. Z., 64:79–102.
    
    See Also:
    Constant Field Values
  - sendov1995
```
public static final String sendov1995
```
    [Sendov, 1995] Sendov, B. (1995). Minimax of the angles in a plane configuration of points. Acta Mathematica Hungarica, 69(1–2):27–46.
    
    See Also:
    Constant Field Values
  - sharirAndSmorodinsky2001
```
public static final String sharirAndSmorodinsky2001
```
    [Sharir and Smorodinsky, 2001] Sharir, M. and Smorodinsky, S. (2001). On generalized geometric graphs and pseudolines.
    
    See Also:
    Constant Field Values
  - shor1991
```
public static final String shor1991
```
    [Shor, 1991] Shor, P. W. (1991). Stretchability of pseudolines is NP-hard. In Gritzmann, P. and Sturmfels, B., editors, Applied geometry and discrete mathematics: the Victor Klee Festschrift, volume 4 of DIMACS series in discrete mathematics and theoretical computer science, pages 531–554. Amer. Math. Soc., Providence, RI.
    
    See Also:
    Constant Field Values
  - suvorov1988
```
public static final String suvorov1988
```
    [Suvorov, 1988]
```
%0 Book Section
%D 1988
%@ 978-3-540-50237-1
%B Topology and Geometry — Rohlin Seminar
%V 1346
%S Lecture Notes in Mathematics
%E Viro, OlegYanovich
%E Vershik, AnatolyMoiseevich
%R 10.1007/BFb0082793
%T Isotopic but not rigidly isotopic plane systems of straight lines
%U http://dx.doi.org/10.1007/BFb0082793
%I Springer Berlin Heidelberg
%8 1988-01-01
%A Suvorov, P.
%P 545-556
```
    See Also:
    Constant Field Values
  - tsukamoto2013
```
public static final String tsukamoto2013
```
    [Tsukamoto, 2013]
```
    
    %0 Journal Article
    %D 2013
    %@ 0179-5376
    %J Discrete & Computational Geometry
    %V 49
    %N 2
    %R 10.1007/s00454-012-9456-y
    %T New Examples of Oriented Matroids with Disconnected Realization Spaces
    %U http://dx.doi.org/10.1007/s00454-012-9456-y
    %I Springer-Verlag
    %8 2013-03-01
    %K Oriented matroids
    %K Realization space
    %A Tsukamoto, Yasuyuki
    %P 287-295
    %G English
    
```
    See Also:
    preprint, journal article, Constant Field Values

Class Bibliography

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

agarwalAndSharir2002

björnerEtAl1999

carroll2000a

carroll2000b

carroll2000c

carroll2000d

carroll2006

carver1922

ceva1678

coxeter1995

euclidC300BC

felsner1997

felsnerAndKriegel1999

felsnerAndWeil1999

felsnerAndZiegler2001

finschi2001

folkmanAndLawrence1978

gioanAndLasVergnas2004

grünbaum1969

jaudonAndParlier2006

lasVergnas1986

lawrence1983

levi1926

mnev1988

motzkin1933

motzkin1983

πάπποςC340

πάπποςAndJones1986a

πάπποςAndJones1986b

plücker1835

richterGebert1996

richterGebertAndSturmfels1991

ringel1956

sendov1995

sharirAndSmorodinsky2001

shor1991

suvorov1988

tsukamoto2013