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» Certifying algorithms for recognizing interval graphs and pe...
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SODA
2003
ACM
120views Algorithms» more  SODA 2003»
13 years 10 months ago
Certifying algorithms for recognizing interval graphs and permutation graphs
Dieter Kratsch, Ross M. McConnell, Kurt Mehlhorn, ...
FAW
2010
Springer
232views Algorithms» more  FAW 2010»
13 years 9 months ago
Recognizing d-Interval Graphs and d-Track Interval Graphs
A d-interval is the union of d disjoint intervals on the real line. A d-track interval is the union of d disjoint intervals on d disjoint parallel lines called tracks, one interval...
Minghui Jiang
FAW
2007
Springer
115views Algorithms» more  FAW 2007»
14 years 2 months ago
An O ( nm )-Time Certifying Algorithm for Recognizing HHD-Free Graphs
In this paper, we consider the recognition problem on a class of perfectly orderable graphs, namely, the HHD-free graphs, i.e., graphs that do not contain any induced subgraph iso...
Stavros D. Nikolopoulos, Leonidas Palios
WG
2009
Springer
14 years 3 months ago
A New Intersection Model and Improved Algorithms for Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This class of graphs, which generalizes...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 8 months ago
A Fully Dynamic Graph Algorithm for Recognizing Interval Graphs
We present the first dynamic graph algorithm for recognizing interval graphs. The algorithm runs in O(n log n) worst-case time per edge deletion or edge insertion, where n is the ...
Louis Ibarra