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» Minimal proper interval completions
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IPL
2008
84views more  IPL 2008»
13 years 5 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
ESA
2005
Springer
162views Algorithms» more  ESA 2005»
13 years 10 months ago
Minimal Interval Completions
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means ...
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...
CORR
2011
Springer
143views Education» more  CORR 2011»
12 years 8 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
ISAAC
2010
Springer
277views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Induced Subgraph Isomorphism on Interval and Proper Interval Graphs
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
Pinar Heggernes, Daniel Meister, Yngve Villanger
STACS
2007
Springer
13 years 11 months ago
Characterizing Minimal Interval Completions
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...