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» On Planar Quasi-Parity Graphs
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DIALM
2005
ACM
100views Algorithms» more  DIALM 2005»
14 years 12 months ago
On the pitfalls of geographic face routing
Geographic face routing algorithms have been widely studied in the literature [1, 8, 13]. All face routing algorithms rely on two primitives: planarization and face traversal. The...
Young-Jin Kim, Ramesh Govindan, Brad Karp, Scott S...
ECCC
2007
124views more  ECCC 2007»
14 years 9 months ago
Testing Hereditary Properties of Non-Expanding Bounded-Degree Graphs
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...
Artur Czumaj, Asaf Shapira, Christian Sohler
WADS
1993
Springer
115views Algorithms» more  WADS 1993»
15 years 1 months ago
Parallel Construction of Quadtrees and Quality Triangulations
We describe efficient PRAM algorithms for constructing unbalanced quadtrees, balanced quadtrees, and quadtree-based finite element meshes. Our algorithms take time O(log n) for p...
Marshall W. Bern, David Eppstein, Shang-Hua Teng
IPL
2006
98views more  IPL 2006»
14 years 10 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
15 years 1 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki