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» Graph Voronoi Regions for Interfacing Planar Graphs
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TAMC
2009
Springer
14 years 2 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 7 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
STOC
1998
ACM
129views Algorithms» more  STOC 1998»
13 years 11 months ago
Planar Map Graphs
We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
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
SIBGRAPI
2005
IEEE
14 years 1 months ago
A Linear Algorithm for Exact Pattern Matching in Planar Subdivisions
Graph sub-isomorphism is a very common approach to solving pattern search problems, but this is a NP-complete problem. This way, it is necessary to invest in research of approxima...
Pedro Ribeiro de Andrade Neto, André Luiz P...