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» An Optimal Minimum Spanning Tree Algorithm
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WEA
2007
Springer
158views Algorithms» more  WEA 2007»
15 years 5 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
FOCS
1992
IEEE
15 years 3 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
FSTTCS
2001
Springer
15 years 4 months 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
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
15 years 12 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
99
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WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 5 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell