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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»
14 years 9 days 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 5 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
14 years 8 days 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 7 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