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» Homomorphism bounded classes of graphs
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CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 2 months ago
Counting Unique-Sink Orientations
Unique-sink orientations (USOs) are an abstract class of orientations of the ncube graph. We consider some classes of USOs that are of interest in connection with the linear compl...
Jan Foniok, Bernd Gärtner, Lorenz Klaus, Mark...
WG
2007
Springer
14 years 2 months ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 2 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 2 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
SIAMDM
2008
148views more  SIAMDM 2008»
13 years 8 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...