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» Graph Voronoi Regions for Interfacing Planar Graphs
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TAMC
2009
Springer
14 years 11 days 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 6 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 10 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 4 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
13 years 11 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...