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» Manhattan-Geodesic Embedding of Planar Graphs
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ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 3 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
INFOCOM
2007
IEEE
14 years 4 months ago
Face Tracing Based Geographic Routing in Nonplanar Wireless Networks
— Scalable and efficient routing is a main challenge in the deployment of large ad hoc wireless networks. An essential element of practical routing protocols is their accommodat...
Fenghui Zhang, Hao Li, Anxiao Jiang, Jianer Chen, ...
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
14 years 10 months ago
Homology flows, cohomology cuts
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
PODS
2004
ACM
96views Database» more  PODS 2004»
14 years 10 months ago
Roads, Codes and Spatiotemporal Queries
We present a novel coding-based technique for answering spatial and spatiotemporal queries on objects moving along a system of curves on the plane such as many road networks. We h...
Sandeep Gupta, Swastik Kopparty, Chinya V. Ravisha...