| Title: | The edge fault-diameter of Cartesian graph bundles |
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| Authors: | ID Banič, Iztok (Author) ID Erveš, Rija (Author) ID Žerovnik, Janez (Author) |
| Files: | http://dx.doi.org/10.1016/j.ejc.2008.09.004
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FS - Faculty of Mechanical Engineering
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| Abstract: | Kartezični svežnji so posplošitev krovnih grafov in kartezičnih grafovskih produktov. Naj bo ▫$G$▫ nek s povezavami ▫$k_G$▫-povezan graf in ▫${bar{mathcal{D}}_c(G)}$▫ največji premer podgrafov grafa ▫$G$▫ dobljenih z odstranitvijo $▫c < k_G$▫ povezav. Dokazano je, da je ▫${bar{mathcal{D}}_{a+b+1}(G)} le {bar{mathcal{D}}_a(F)} le {bar{mathcal{D}}_b(B)} + 1$▫, če je ▫$G$▫ grafovski sveženj z vlaknom ▫$F$▫ in bazo ▫$B$▫, ▫$a < k_F$▫, ▫$b < k_B▫$. Dokazano je tudi, da je povezanost s povezavami grafovskega svežnja ▫$G▫$ vsaj ▫$k_F + k_B$▫. |
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| Keywords: | matematika, teorija grafov, kartezični grafovski produkti, kartezični grafovski svežnji, povezavni okvarni premer, mathematics, graph theory, Cartesian graph products, Cartesian graph bundles, edge-fault diameter |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 1054-1061 |
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| Numbering: | Vol. 30, no. 5 |
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| PID: | 20.500.12556/DKUM-51787  |
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| UDC: | 519.17 |
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| ISSN on article: | 0195-6698 |
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| COBISS.SI-ID: | 15145817  |
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| NUK URN: | URN:SI:UM:DK:UQQDEVTB |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1694 |
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| Downloads: | 97 |
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| Metadata: |  |
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| Categories: | Misc.
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