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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 5 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 5 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»
13 years 10 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
13 years 11 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 4 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