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GD
2005
Springer
15 years 11 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
16 years 4 days 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 11 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, ...
COCO
2009
Springer
105views Algorithms» more  COCO 2009»
16 years 18 days 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»
15 years 6 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