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» The upper bound on k-tuple domination numbers of graphs
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RSA
2002
71views more  RSA 2002»
13 years 7 months ago
The infamous upper tail
Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
Svante Janson, Andrzej Rucinski
COMBINATORICA
2004
79views more  COMBINATORICA 2004»
13 years 7 months ago
The Deletion Method For Upper Tail Estimates
We present a new method to show concentration of the upper tail of random variables that can be written as sums of variables with plenty of independence. We compare our method with...
Svante Janson, Andrzej Rucinski
WG
2009
Springer
14 years 1 months ago
Distance d-Domination Games
Abstract. We study graph searching games where a number of cops try to capture a robber that is hiding in a system of tunnels modelled as a graph. While the current position of the...
Stephan Kreutzer, Sebastian Ordyniak
COMGEO
2007
ACM
13 years 7 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 4 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...