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FSTTCS
2001
Springer
14 years 4 days ago
The Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is...
Radha Krishnan, Balaji Raghavachari
OPODIS
2001
13 years 9 months ago
A Very Fast (Linear Time) Distributed Algorithm, on General Graphs, for the Minimum-Weight Spanning Tree
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
Lélia Blin, Franck Butelle
GECCO
2006
Springer
175views Optimization» more  GECCO 2006»
13 years 11 months ago
An ant-based algorithm for finding degree-constrained minimum spanning tree
A spanning tree of a graph such that each vertex in the tree has degree at most d is called a degree-constrained spanning tree. The problem of finding the degree-constrained spann...
Thang Nguyen Bui, Catherine M. Zrncic
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 8 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
FSTTCS
2007
Springer
14 years 1 months ago
Probabilistic Analysis of the Degree Bounded Minimum Spanning Tree Problem
In the b-degree constrained Euclidean minimum spanning tree problem (bMST) we are given n points in [0;1]d and a degree constraint b  2. The aim is to nd a minimum weight spannin...
Anand Srivastav, Sören Werth