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» The upper bound on k-tuple domination numbers of graphs
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SIAMDM
2010
167views more  SIAMDM 2010»
13 years 2 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
DAM
2006
124views more  DAM 2006»
13 years 7 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
DM
2010
128views more  DM 2010»
13 years 7 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
CIE
2007
Springer
14 years 1 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 7 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang