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» Intriguing Sets of Vertices of Regular Graphs
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GC
2010
Springer
13 years 3 months ago
Intriguing Sets of Vertices of Regular Graphs
Intriguing and tight sets of vertices of point-line geometries have recently been studied in the literature. In this paper, we indicate a more general framework for dealing with t...
Bart De Bruyn, Hiroshi Suzuki
MFCS
2007
Springer
13 years 11 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
JGAA
2006
108views more  JGAA 2006»
13 years 5 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello
MST
2006
129views more  MST 2006»
13 years 5 months ago
Reachability Problems on Regular Ground Tree Rewriting Graphs
We consider the transition graphs of regular ground tree (or term) rewriting systems. The vertex set of such a graph is a (possibly infinite) set of trees. Thus, with a finite tree...
Christof Löding
ALGORITHMICA
2011
13 years 3 days ago
On Dissemination Thresholds in Regular and Irregular Graph Classes
We investigate the natural situation of the dissemination of information on various graph classes starting with a random set of informed vertices called active. Initially active ve...
Ivan Rapaport, Karol Suchan, Ioan Todinca, Jacques...