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» (k, )-Distance-Hereditary Graphs
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IWPEC
2009
Springer
15 years 4 months ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
JGT
2008
97views more  JGT 2008»
14 years 9 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
15 years 4 months ago
Distance Coloring
Given a graph G = (V, E), a (d, k)-coloring is a function from the vertices V to colors {1, 2, . . . , k} such that any two vertices within distance d of each other are assigned di...
Alexa Sharp
ALGORITHMICA
2010
145views more  ALGORITHMICA 2010»
14 years 10 months ago
Chordal Deletion is Fixed-Parameter Tractable
It is known to be NP-hard to decide whether a graph can be made chordal by the deletion of k vertices or by the deletion of k edges. Here we present a uniformly polynomial-time alg...
Dániel Marx
WG
2010
Springer
14 years 8 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...