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DM
2007
106views more  DM 2007»
13 years 4 months ago
The Roberts characterization of proper and unit interval graphs
In this note, a constructive proof is given that the classes of proper interval graphs and unit interval graphs coincide, a result originally established by Fred S. Roberts. Addit...
Frédéric Gardi
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...
IPL
2008
84views more  IPL 2008»
13 years 4 months ago
Minimal proper interval completions
Given an arbitrary graph G = (V, E) and a proper interval graph H = (V, F) with E F we say that H is a proper interval completion of G. The graph H is called a minimal proper inte...
Ivan Rapaport, Karol Suchan, Ioan Todinca