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» On Shortest Disjoint Paths in Planar Graphs
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74
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ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 4 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
14 years 11 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
WG
2010
Springer
14 years 10 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
INFORMATICALT
2006
80views more  INFORMATICALT 2006»
14 years 11 months ago
Scheduling Trajectories on a Planar Surface with Moving Obstacles
An algorithm for scheduling the trajectory of a point object, which moves on a plane surface comprising of moving obstacles, is introduced. Different quantitative criteria may be m...
Emmanuel Stefanakis
80
Voted
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
14 years 11 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh