JCT
2010
13 years 3 months ago
2010
We prove that every 3-connected GF(q)-representable matroid that contains the projective plane, PG(2, q), as a minor is uniquely representable.
JCT
2007
13 years 4 months ago
2007
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...
DM
1998
13 years 4 months ago
1998
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...
DM
2002
13 years 4 months ago
2002
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...
JCT
2007
13 years 4 months ago
2007
: 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...
JSC
2006
13 years 4 months ago
2006
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...
COMBINATORICS
2007
13 years 4 months ago
2007
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...
COMBINATORICS
2006
13 years 4 months ago
2006
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...
FFA
2008
13 years 4 months ago
2008
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...
WG
1998
Springer
13 years 8 months ago
1998
Springer
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...