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ESA
2009
Springer
109views Algorithms» more  ESA 2009»
13 years 10 months ago
Linear-Time Recognition of Probe Interval Graphs
The interval graph for a set of intervals on a line consists of one vertex for each interval, and an edge for each intersecting pair of intervals. A probe interval graph is a varia...
Ross M. McConnell, Yahav Nussbaum
FAW
2009
Springer
180views Algorithms» more  FAW 2009»
13 years 12 months ago
Edge Search Number of Cographs in Linear Time
We give a linear-time algorithm for computing the edge search number of cographs, thereby proving that this problem can be solved in polynomial time on this graph class. With our ...
Pinar Heggernes, Rodica Mihai
COCOON
2006
Springer
13 years 9 months ago
Characterizations and Linear Time Recognition of Helly Circular-Arc Graphs
Abstract. A circular-arc model (C, A) is a circle C together with a collection A of arcs of C. If A satisfies the Helly Property then (C, A) is a Helly circular-arc model. A (Helly...
Min Chih Lin, Jayme Luiz Szwarcfiter
FOCS
2009
IEEE
14 years 2 days ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 5 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik