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ESA
2005
Springer
131views Algorithms» more  ESA 2005»
13 years 10 months ago
Computing Common Intervals of K Permutations, with Applications to Modular Decomposition of Graphs
We introduce a new way to compute common intervals of K permutations based on a very simple and general notion of generators of common intervals. This formalism leads to simple an...
Anne Bergeron, Cedric Chauve, Fabien de Montgolfie...
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...
ISAAC
2004
Springer
153views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Canonical Data Structure for Interval Probe Graphs
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
Ryuhei Uehara
WG
2007
Springer
13 years 10 months ago
Proper Helly Circular-Arc Graphs
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
WADS
2009
Springer
281views Algorithms» more  WADS 2009»
13 years 11 months ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw