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» Parity Problems in Planar Graphs
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INFOCOM
2008
IEEE
15 years 7 months ago
Robust Planarization of Unlocalized Wireless Sensor Networks
Abstract—Wireless sensor networks need very efficient network protocols due to the sensors’ limited communication and computation capabilities. Network planarization – find...
Fenghui Zhang, Anxiao Jiang, Jianer Chen
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
16 years 1 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
IPL
2006
69views more  IPL 2006»
15 years 1 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
15 years 5 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
COMPGEOM
2006
ACM
15 years 7 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote