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DM
2008
139views more  DM 2008»
13 years 8 months ago
On domination and reinforcement numbers in trees
The reinforcement number of a graph is the smallest number of edges that have to be added to a graph to reduce the domination number. We introduce the k-reinforcement number of a ...
Jean R. S. Blair, Wayne Goddard, Stephen T. Hedetn...
JSYML
2008
100views more  JSYML 2008»
13 years 8 months ago
Measurable chromatic numbers
We show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three...
Benjamin D. Miller
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
13 years 6 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 8 months ago
Parameterizing by the Number of Numbers
The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization." In this paper we introduce and expl...
Michael R. Fellows, Serge Gaspers, Frances A. Rosa...