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» Minimal comparability completions of arbitrary graphs
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DAM
2008
109views more  DAM 2008»
13 years 4 months ago
Minimal comparability completions of arbitrary graphs
A transitive orientation of an undirected graph is an assignment of directions to its edges so that these directed edges represent a transitive relation between the vertices of th...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
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
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...
APPROX
2006
Springer
124views Algorithms» more  APPROX 2006»
13 years 8 months ago
Combinatorial Algorithms for Data Migration to Minimize Average Completion Time
The data migration problem is to compute an efficient plan for moving data stored on devices in a network from one configuration to another. It is modeled by a transfer graph, wher...
Rajiv Gandhi, Julián Mestre
ICRA
2010
IEEE
131views Robotics» more  ICRA 2010»
13 years 3 months ago
Optimal coverage of a known arbitrary environment
— The problem of coverage of known space by a mobile robot has many applications. Of particular interest is providing a solution that guarantees the complete coverage of the free...
Raphael Mannadiar, Ioannis M. Rekleitis