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113
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ESA
2009
Springer
109views Algorithms» more  ESA 2009»
15 years 5 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
WG
2009
Springer
15 years 7 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
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
15 years 18 days 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
105
Voted
DAM
2007
105views more  DAM 2007»
15 years 13 days 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...