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» A 3-Approximation for the Minimum Tree Spanning k Vertices
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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
JUCS
2007
148views more  JUCS 2007»
13 years 7 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
DAM
2008
140views more  DAM 2008»
13 years 7 months ago
The minimum spanning strong subdigraph problem is fixed parameter tractable
A digraph D is strong if it contains a directed path from x to y for every choice of vertices x, y in D. We consider the problem (MSSS) of finding the minimum number of arcs in a ...
Jørgen Bang-Jensen, Anders Yeo
ICALP
2000
Springer
13 years 11 months ago
An Optimal Minimum Spanning Tree Algorithm
We establish that the algorithmic complexity of the minimum spanning tree problem is equal to its decision-tree complexity. Specifically, we present a deterministic algorithm to fi...
Seth Pettie, Vijaya Ramachandran