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» The Linear Complexity of a Graph
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CSL
2006
Springer
15 years 10 months ago
Solving Games Without Determinization
The synthesis of reactive systems requires the solution of two-player games on graphs with -regular objectives. When the objective is specified by a linear temporal logic formula o...
Thomas A. Henzinger, Nir Piterman
GD
2006
Springer
15 years 10 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
CORR
2010
Springer
104views Education» more  CORR 2010»
15 years 6 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
DAM
2007
111views more  DAM 2007»
15 years 6 months ago
Vertex-minor reductions can simulate edge contractions
We prove that local complementation and vertex deletion, operations from which vertexminors are defined, can simulate edge contractions. As an application, we prove that the rank...
Mamadou Moustapha Kanté
COCO
2010
Springer
152views Algorithms» more  COCO 2010»
15 years 10 months ago
A Log-Space Algorithm for Reachability in Planar Acyclic Digraphs with Few Sources
Designing algorithms that use logarithmic space for graph reachability problems is fundamental to complexity theory. It is well known that for general directed graphs this problem...
Derrick Stolee, Chris Bourke, N. V. Vinodchandran