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JCT
2010
61views more  JCT 2010»
13 years 10 months ago
The projective plane is a stabilizer
We prove that every 3-connected GF(q)-representable matroid that contains the projective plane, PG(2, q), as a minor is uniquely representable.
Jim Geelen, Geoff Whittle
JCT
2007
142views more  JCT 2007»
13 years 11 months ago
Graphs that triangulate a given surface and quadrangulate another surface
We show that for any closed surface F with χ(F) −4 (or χ(F) −2), there exist graphs that triangulate the torus or the Klein bottle (or the projective plane) and that quadran...
Yusuke Suzuki
DM
1998
81views more  DM 1998»
13 years 11 months ago
On intersecting hypergraphs
We investigate the following question: “Given an intersecting multi-hypergraph on n points, what fraction of edges must be covered by any of the best 2 points?” (Here “best...
Barry Guiduli, Zoltán Király
DM
2002
186views more  DM 2002»
13 years 11 months ago
Coloring Eulerian triangulations of the projective plane
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
Bojan Mohar
JCT
2007
92views more  JCT 2007»
13 years 11 months ago
Minimal non-orientable matroids in a projective plane
: We construct a new family of minimal non-orientable matroids of rank three. Some of these matroids embed in Desarguesian projective planes. This answers a question of Ziegler: fo...
Rigoberto Flórez, David Forge
JSC
2006
72views more  JSC 2006»
13 years 11 months ago
Algebraic solutions of holomorphic foliations: An algorithmic approach
We present two algorithms that can be used to check whether a given holomorphic foliation of the projective plane has an algebraic solution, and discuss the performance of their im...
S. C. Coutinho, L. Menasché Schechter
COMBINATORICS
2007
75views more  COMBINATORICS 2007»
13 years 11 months ago
Flexibility of Embeddings of Bouquets of Circles on the Projective Plane and Klein Bottle
In this paper, we study the flexibility of embeddings of bouquets of circles on the projective plane and the Klein bottle. The numbers (of equivalence classes) of embeddings of b...
Yan Yang, Yanpei Liu
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 11 months ago
Cubic Partial Cubes from Simplicial Arrangements
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudolines in the projective plane. As a consequence, we find nine new infinite families...
David Eppstein
FFA
2008
260views more  FFA 2008»
13 years 11 months ago
On the isotopism classes of finite semifields
A projective plane is called a translation plane if there exists a line L such that the group of elations with axis L acts transitively on the points not on L. A translation plane...
Michel Lavrauw
WG
1998
Springer
14 years 3 months ago
Triangles in Euclidean Arrangements
The number of triangles in arrangements of lines and pseudolines has been object of some research. Most results, however, concern arrangements in the projective plane. In this arti...
Stefan Felsner, Klaus Kriegel