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» On Computing the Distinguishing Numbers of Trees and Forests
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COMBINATORICS
2006
132views more  COMBINATORICS 2006»
13 years 5 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
WEA
2010
Springer
476views Algorithms» more  WEA 2010»
13 years 12 months ago
Fast FPT Algorithms for Computing Rooted Agreement Forests: Theory and Experiments
We improve on earlier FPT algorithms for computing a rooted maximum agreement forest (MAF) or a maximum acyclic agreement forest (MAAF) of a pair of phylogenetic trees. Their sizes...
Chris Whidden, Robert G. Beiko, Norbert Zeh
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
13 years 4 months ago
Asymptotics for the Probability of Connectedness and the Distribution of Number of Components
Let n be the fraction of structures of size" n which are connected"; e.g., a the fraction of labeled or unlabeled n-vertex graphshavingone component, b the fraction of p...
Jason P. Bell, Edward A. Bender, Peter J. Cameron,...
BIRTHDAY
2009
Springer
13 years 12 months ago
Covering a Tree by a Forest
Consider a tree T and a forest F. The paper discusses the following new problems: The Forest vertex-cover problem (FVC): cover the vertices of T by a minimum number of copies of tr...
Fanica Gavril, Alon Itai
OPODIS
2008
13 years 6 months ago
Computing and Updating the Process Number in Trees
The process number is the minimum number of requests that have to be simultaneously disturbed during a routing reconfiguration phase of a connection oriented network. From a graph ...
David Coudert, Florian Huc, Dorian Mazauric