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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
APPML
2008
93views more  APPML 2008»
13 years 4 months ago
A matrix characterization of interval and proper interval graphs
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimiz...
George B. Mertzios
MICS
2010
124views more  MICS 2010»
12 years 11 months ago
An Optimal Algorithm for the k-Fixed-Endpoint Path Cover on Proper Interval Graphs
In this paper we consider the k-fixed-endpoint path cover problem on proper interval graphs, which is a generalization of the path cover problem. Given a graph G and a set T of k v...
George B. Mertzios, Walter Unger
DAM
2006
91views more  DAM 2006»
13 years 4 months ago
Precoloring extension on unit interval graphs
In the precoloring extension problem we are given a graph with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to a ...
Dániel Marx
WG
2007
Springer
13 years 11 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...