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» Linear Problem Kernels for NP-Hard Problems on Planar Graphs
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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
15 years 4 months ago
Maximum Flow in Directed Planar Graphs with Vertex Capacities
In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the...
Haim Kaplan, Yahav Nussbaum
SIBGRAPI
2005
IEEE
15 years 3 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...
LATIN
2010
Springer
15 years 4 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
NIPS
2007
14 years 10 months ago
Fixing Max-Product: Convergent Message Passing Algorithms for MAP LP-Relaxations
We present a novel message passing algorithm for approximating the MAP problem in graphical models. The algorithm is similar in structure to max-product but unlike max-product it ...
Amir Globerson, Tommi Jaakkola
ISAAC
1998
Springer
94views Algorithms» more  ISAAC 1998»
15 years 1 months ago
Two-Layer Planarization in Graph Drawing
Abstract. We study the two-layer planarization problems that have applications in Automatic Graph Drawing. We are searching for a two-layer planar subgraph of maximumweight in a gi...
Petra Mutzel, René Weiskircher