Academic Journal

An efficient parallel biconnectivity algorithm

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: An efficient parallel biconnectivity algorithm
Συγγραφείς: Robert E. Tarjan
Συνεισφορές: The Pennsylvania State University CiteSeerX Archives
Πηγή: http://www.umiacs.umd.edu/users/vishkin/TEACHING/ENEE759KS12/TV85.pdf.
Έτος έκδοσης: 1985
Συλλογή: CiteSeerX
Θεματικοί όροι: Key words, parallel graph algorithm, biconnected components, blocks
Περιγραφή: In this paper we propose a new algorithm for finding the blocks (biconnected components) of an undirected graph. A serial implementation runs in O(n + m) time and space on a graph of n vertices and m edges. A parallel implementation runs in O(log n) time and O(n + m) space using O(n + m) processors on a concurrent-read, concurrent-write parallel RAM. An alternative implementation runs in O(n2/p) time and O(n2) space using any number p < = n/log n of processors, on a concurrent-read, exclusive-write parallel RAM. The last algorithm has optimal speedup, assuming an adjacency matrix representation of the input. A general algorithmic technique that simplifies and improves computation of various functions on trees is introduced. This technique typically requires O(log n) time using processors and O(n) space on an exclusive-read exclusive-write parallel RAM.
Τύπος εγγράφου: text
Περιγραφή αρχείου: application/pdf
Γλώσσα: English
Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.465.8898; http://www.umiacs.umd.edu/users/vishkin/TEACHING/ENEE759KS12/TV85.pdf
Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.465.8898
http://www.umiacs.umd.edu/users/vishkin/TEACHING/ENEE759KS12/TV85.pdf
Rights: Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Αριθμός Καταχώρησης: edsbas.CAD08B9
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  Data: In this paper we propose a new algorithm for finding the blocks (biconnected components) of an undirected graph. A serial implementation runs in O(n + m) time and space on a graph of n vertices and m edges. A parallel implementation runs in O(log n) time and O(n + m) space using O(n + m) processors on a concurrent-read, concurrent-write parallel RAM. An alternative implementation runs in O(n2/p) time and O(n2) space using any number p &lt; = n/log n of processors, on a concurrent-read, exclusive-write parallel RAM. The last algorithm has optimal speedup, assuming an adjacency matrix representation of the input. A general algorithmic technique that simplifies and improves computation of various functions on trees is introduced. This technique typically requires O(log n) time using processors and O(n) space on an exclusive-read exclusive-write parallel RAM.
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