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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 10 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 4 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 4 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
12 years 11 months 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...