ENUMERATING ALL CYCLES OF A PLANAR GRAPH

We present a new and elegant cycle vector space algorithm that runs in O(n 2 .α) steps and needs O:lpar;nn) space for enumerating all simple cycles of a planar graph with n vertices, where α is the total number of simple cycles in the graph Unlike backtrack algorithms, cycle vector space algorithms...

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Vydané v:	Parallel algorithms and applications Ročník 10; číslo 1-2; s. 21 - 36
Hlavní autori:	DOG¯RUSÖZ, U., KRISHNAMOORTHY, M. S.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Taylor & Francis Group 01.08.1996
Predmet:	cycle basis Enumerating all cycles EREW PRAM algorithm meshconnected SIMD computer planar graphs
ISSN:	1063-7192
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Popis
Shrnutí:	We present a new and elegant cycle vector space algorithm that runs in O(n 2 .α) steps and needs O:lpar;nn) space for enumerating all simple cycles of a planar graph with n vertices, where α is the total number of simple cycles in the graph Unlike backtrack algorithms, cycle vector space algorithms for this problem are suitable for parallelization. A parallel version of this algorithm alone with a parallel version of Syslo's O(n.α) step algorithm for the same problem are on an exclusive-read, exclusive-write parallel RAM model with p processors. The results of an implementation of our parallel algorithm on a meshconnected SIMD computer are also presented.
ISSN:	1063-7192
DOI:	10.1080/10637199608915603