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JACM
2000

A minimum spanning tree algorithm with Inverse-Ackermann type complexity

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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 Ackermann's function and n (respectively, m) is the number of vertices (respectively, edges). The algorithm is comparison-based: it uses pointers, not arrays, and it makes no numeric assumptions on the edge costs. Categories and Subject Descriptors: F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical Algorithms and Problems. General Terms: Theory Additional Key Words and Phrases: Graphs, matroids, minimum spanning trees
Bernard Chazelle
Added 18 Dec 2010
Updated 18 Dec 2010
Type Journal
Year 2000
Where JACM
Authors Bernard Chazelle
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