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EFFICIENT CONNECTED COMPONENTS ALGORITHM ON A MESH-CONNECTED COMPUTER.

  • University of Maryland, College Park

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

An algorithm for identifying the connected components of an undirected graph on a mesh-connected computer is presented. If the graph has n vertices and m edges, a q-dimensional mesh-connected computer having 2m processors is used and computes the connected components in O(q**2 (m**1 **/ **Q plus n**1 **/ **Q )log n)) time. This algorithm can be extended to compute a minimal spanning tree of an undirected graph within the same processor and time bounds. For sparse graphs the algorithm has better time performance and uses a significantly less number of processors than existing mesh-connected computer algorithms for this problem. For dense graphs the algorithm can be speeded up by using a higher dimensional mesh.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Parallel Processing
EditorsDouglas DeGroot
PublisherIEEE
Pages711-714
Number of pages4
ISBN (Print)0818606371
StatePublished - 1985

Publication series

NameProceedings of the International Conference on Parallel Processing

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