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» Edge-Disjoint Paths in Planar Graphs
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ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 20 days 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...
WG
2010
Springer
13 years 5 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
ADHOC
2005
95views more  ADHOC 2005»
13 years 7 months ago
Planar graph routing on geographical clusters
Geographic routing protocols base their forwarding decisions on the location of the current device, its neighbors, and the packets destination. Early proposed heuristic greedy rou...
Hannes Frey, Daniel Görgen
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
13 years 7 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
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
13 years 8 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki