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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
WG
2009
Springer
13 years 11 months ago
Fully Dynamic Representations of Interval Graphs
We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques...
Christophe Crespelle
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
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, ...
DAM
2007
105views more  DAM 2007»
13 years 4 months ago
Recognizing and representing proper interval graphs in parallel using merging and sorting
We present a parallel algorithm for recognizing and representing a proper interval graph in O(log2 n) time with O(m + n) processors on the CREW PRAM, where m and n are the number ...
Jørgen Bang-Jensen, Jing Huang, Louis Ibarr...