| Naslov: | On the Fibonacci dimension of partial cubes |
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| Avtorji: | ID Vesel, Aleksander (Avtor) |
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| Datoteke: |  http://www.imfm.si/preprinti/PDF/01104.pdf
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | The Fibonacci dimension fdim▫$(G)$▫ of a graph ▫$G$▫ was introduced in [S. Cabello, D. Eppstein and S. Klavžar, The Fibonacci dimension of a graph, submitted] as the smallest integer ▫$d$▫ such that $G$ admits an isometric embedding into ▫$Q_d$▫, the ▫$d$▫-dimensional Fibonacci cube. A somewhat new combinatorial characterization of the Fibonacci dimension is given, which enables more comfortable proofs of some previously known results. In the second part of the paper the Fibonacci dimension of the resonance graphs of catacondensed benzenoid systems is studied. This study is inspired by the fact, that the Fibonacci cubes are precisely the resonance graphs of a subclass of the catacondensed benzenoid systems. The main result shows that the Fibonacci dimension of the resonance graph of a catacondensed benzenoid system ▫$G$▫ depends on the inner dual of ▫$G$▫. Moreover, we show that computing the Fibonacci dimension can be done in linear time for a graph of this class. |
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| Ključne besede: | matematika, teorija grafov, Fibonaccijeva dimenzija, delne kocke, resonančni grafi, benzenoidni sistemi, mathematics, graph theory, Fibonacci dimension, partial cubes, resonance graphs, benzenoid systems |
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| Leto izida: | 2009 |
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| Št. strani: | str. 1-9 |
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| Številčenje: | Vol. 47, št. 1104 |
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| PID: | 20.500.12556/DKUM-51805  |
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| ISSN: | 1318-4865 |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 15310681 |
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| NUK URN: | URN:SI:UM:DK:M276KAJO |
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| Datum objave v DKUM: | 10.07.2015 |
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| Število ogledov: | 1410 |
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| Število prenosov: | 53 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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