- have also been
considered in the
hyperbolic plane, and
generalized to
pseudolines,
curves that have
similar topological properties to lines. The initial...
-
consider the
minimum number of
ordinary points in an
arrangement of
pseudolines. In this context, the Csima-Sawyer ⌈ 6 n / 13 ⌉ {\displaystyle \lceil...
- This is an
example of a
pseudoline arrangement that is
distinct from any line arrangement....
-
Configuration in the
projective plane that is
realized by
points and
pseudolines is
called topological configuration. For instance, it is
known that there...
-
Euclidean dimension of a
graph is at most a
given value.
stretchability of
pseudolines (that is,
given a
family of
curves in the plane,
determining whether...
- _{i=0}^{d}(-1)^{i}F_{i}\geq 0.}
Another generalization is
considering arrangements of
pseudolines (and
pseudohyperplanes in
dimension d {\displaystyle d} )
instead of...
-
Euclidean point set in this way. CC
systems can also be
defined from
pseudoline arrangements, or from
sorting networks in
which the compare-exchange operations...
- arrangements, the same
bound as Roberts's
theorem holds for
arrangements of
pseudolines. Grünbaum,
Branko (1998), "How many triangles?" (PDF), Geombinatorics...
- role in
discrete geometry,
specifically in the
study of
arrangements of
pseudolines and (more generally)
oriented matroids. His work with
Pollack includes...
