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» Crossing edges and faces of line arrangements in the plane
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DATE
2006
IEEE
103views Hardware» more  DATE 2006»
13 years 11 months ago
Novel designs for thermally robust coplanar crossing in QCA
In this paper, different circuit arrangements of Quantumdot Cellular Automata (QCA) are proposed for the so-called coplanar crossing. These arrangements exploit the majority votin...
Sanjukta Bhanja, Marco Ottavi, Fabrizio Lombardi, ...
COMPGEOM
1991
ACM
13 years 8 months ago
Arrangements of Segments that Share Endpoints: Single Face Results
We provide new combinatorial bounds on the complexity of a face in an arrangement of segments in the plane. In particular, we show that the complexity of a single face in an arran...
Esther M. Arkin, Dan Halperin, Klara Kedem, Joseph...
ISAAC
1992
Springer
186views Algorithms» more  ISAAC 1992»
13 years 9 months ago
Algorithms for Finding Non-Crossing Paths with Minimum Total Length in Plane Graphs
Let G be an undirected plane graph with non-negative edge length, and let k terminal pairs lie on two specified face boundaries. This paper presents an algorithm for finding k &quo...
Jun-ya Takahashi, Hitoshi Suzuki, Takao Nishizeki
CCCG
2007
13 years 6 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
COMPGEOM
2008
ACM
13 years 7 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...