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» On encodings of spanning trees
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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
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 ...
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
14 years 7 months ago
Estimating the weight of metric minimum spanning trees in sublinear-time
In this paper we present a sublinear time (1+ )-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an n-point metric space. The running time...
Artur Czumaj, Christian Sohler