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» Diameter bounds for planar graphs
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GD
2005
Springer
15 years 3 months ago
Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
WG
2007
Springer
15 years 3 months ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 3 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
83
Voted
COCO
2009
Springer
105views Algorithms» more  COCO 2009»
15 years 4 months ago
Planar Graph Isomorphism is in Log-Space
Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. There is a significant ...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar, Th...
ECCC
2007
124views more  ECCC 2007»
14 years 9 months ago
Testing Hereditary Properties of Non-Expanding Bounded-Degree Graphs
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...
Artur Czumaj, Asaf Shapira, Christian Sohler