| Title: | Algorithm for recognizing Cartesian graph bundles |
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| Authors: | ID Zmazek, Blaž (Author)
ID Žerovnik, Janez (Author) |
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| Files: |  http://dx.doi.org/10.1016/S1571-0653(05)80060-5
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.12 - Published Scientific Conference Contribution Abstract |
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| Organization: | PEF - Faculty of Education
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| Abstract: | Graph bundles generalize the notion of covering graphs and graphs products. Authors W. Imrich, T. Pisanski and J. Žerovnik constructed an algorithm that finds a presentation as a nontrivial Cartesian graph bundle for all graphs that are Cartesian graph bundles over triangle-free simple base (Discrete Math. 167, 168 (1998) 393-403). The uniquesquare property is defined in Discrete Math., 244 (2002) 551-561, and it is shown that any equivalence relation possesing the unique square property determines the fundamental factorization of a graph as a nontrivial Cartesian graph bundle over arbitrary base graph. In this paper we define the relation ▫$Delta$▫ having the unique square property on Cartesian graph bundles over ▫$K_4 setminus e$▫-free simple base. We also give a polynomial algorithm for recognizing Cartesian graph bundles over ▫$K_4 setminus e$▫-simple base. |
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| Keywords: | matematika, teorija grafov, kartezični grafovski svežnji, enolična lokalna produktna lastnost, osnovna faktorizacija, razpoznavanje, polinomski algoritem, mathematics, graph theory, Cartesian graph bundles, unique square property, fundamental factorization, polynomial algorithm, recognition |
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| Year of publishing: | 1999 |
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| Number of pages: | str. 217-221 |
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| Numbering: | Vol. 3 |
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| PID: | 20.500.12556/DKUM-51506  |
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| UDC: | 519.17 |
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| ISSN on article: | 1571-0653 |
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| COBISS.SI-ID: | 13823577 |
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| NUK URN: | URN:SI:UM:DK:YKISPYTP |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1481 |
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| Downloads: | 99 |
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| Metadata: |    |
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| Categories: | Misc.
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