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» Intervalizing k-Colored Graphs
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103
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CORR
2011
Springer
143views Education» more  CORR 2011»
14 years 1 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez
66
Voted
IPL
2008
84views more  IPL 2008»
14 years 9 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
95
Voted
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
15 years 2 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
GC
2008
Springer
14 years 9 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews