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DAM
2008
109views more  DAM 2008»
15 years 2 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...
128
Voted
FSTTCS
2005
Springer
15 years 8 months ago
Fixpoint Logics on Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
99
Voted
DAM
2007
129views more  DAM 2007»
15 years 2 months ago
Easy and hard instances of arc ranking in directed graphs
: In this paper we deal with the arc ranking problem of directed graphs. We give some classes of graphs for which the arc ranking problem is polynomially solvable. We prove that de...
Dariusz Dereniowski
CP
2008
Springer
15 years 4 months ago
Perfect Constraints Are Tractable
By using recent results from graph theory, including the Strong Perfect Graph Theorem, we obtain a unifying framework for a number of tractable classes of constraint problems. Thes...
András Z. Salamon, Peter G. Jeavons
FOCS
2005
IEEE
15 years 8 months ago
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
At the core of the seminal Graph Minor Theory of Robertson and Seymour is a powerful structural theorem capturing the structure of graphs excluding a fixed minor. This result is ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Ken-ic...