Computer program for finding all possible cycles in graphs

Copyright © 1984 John Wiley & Sons, Inc.

Bibliographische Detailangaben
Veröffentlicht in:Journal of computational chemistry. - 1984. - 6(1985), 4 vom: 15. Aug., Seite 316-329
1. Verfasser: Balaban, Alexandru T (VerfasserIn)
Weitere Verfasser: Filip, Petru, Balaban, Teodor-Silviu
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1985
Zugriff auf das übergeordnete Werk:Journal of computational chemistry
Schlagworte:Journal Article
Beschreibung
Zusammenfassung:Copyright © 1984 John Wiley & Sons, Inc.
A new approach is presented for identifying all possible cycles in graphs. Input data are the total numbers of vertices and edges, as well as the vertex adjacencies using arbitrary vertex numbering. A homeomorphically reduced graph (HRG) is constructed by ignoring vertices of degree less than three. The algorithm is based on successive generation of possible edge-combinations in the HRG. If a combination yields a cycle, it is either printed or stored and then finally printed in a list of all possible cycles arranged in the order of increasing ring size. A unique numbering of the cycle is used. The computer program is listed and exemplified. Computing times are given
Beschreibung:Date Revised 20.11.2019
published: Print
ErratumIn: J Comput Chem. 1986 Apr;7(2):253. - PMID 29165827
Citation Status PubMed-not-MEDLINE
ISSN:1096-987X
DOI:10.1002/jcc.540060409