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» Bounds on the k-domination number of a graph
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GD
2008
Springer
15 years 3 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
GD
2003
Springer
15 years 7 months ago
Track Drawings of Graphs with Constant Queue Number
A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing ...
Emilio Di Giacomo, Henk Meijer
GC
2002
Springer
15 years 1 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth
CORR
2010
Springer
159views Education» more  CORR 2010»
14 years 11 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...
ECCC
2011
205views ECommerce» more  ECCC 2011»
14 years 9 months ago
Graphs of Bounded Treewidth can be Canonized in AC1
In recent results the complexity of isomorphism testing on graphs of bounded treewidth is improved to TC1 [GV06] and further to LogCFL [DTW10]. The computation of canonical forms ...
Fabian Wagner