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DM
2007
106views more  DM 2007»
13 years 11 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 11 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 11 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