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IWPEC
2009
Springer
14 years 2 months ago
An Exact Algorithm for the Maximum Leaf Spanning Tree Problem
Given an undirected graph with n nodes, the Maximum Leaf Spanning Tree problem is to find a spanning tree with as many leaves as possible. When parameterized in the number of leav...
Henning Fernau, Joachim Kneis, Dieter Kratsch, Ale...
WEA
2007
Springer
158views Algorithms» more  WEA 2007»
14 years 1 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers
PPSN
2010
Springer
13 years 6 months ago
Fixed Parameter Evolutionary Algorithms and Maximum Leaf Spanning Trees: A Matter of Mutation
Abstract. Evolutionary algorithms have been shown to be very successful for a wide range of NP-hard combinatorial optimization problems. We investigate the NP-hard problem of compu...
Stefan Kratsch, Per Kristian Lehre, Frank Neumann,...
JCT
2011
83views more  JCT 2011»
13 years 2 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 7 months ago
Spanning directed trees with many leaves
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...