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» Edge-Disjoint Paths in Planar Graphs
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MFCS
1998
Springer
13 years 11 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire
ESA
2004
Springer
137views Algorithms» more  ESA 2004»
14 years 26 days ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
TOC
2008
104views more  TOC 2008»
13 years 7 months ago
Single Source Multiroute Flows and Cuts on Uniform Capacity Networks
For an integer h 1, an elementary h-route flow is a flow along h edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity h-rout...
Henning Bruhn, Jakub Cerný, Alexander Hall,...
GD
2009
Springer
14 years 2 days ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
INFOCOM
2008
IEEE
14 years 1 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