| Naslov: | 1-factors and characterization of reducible faces of plane elementary bipartite graphs |
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| Avtorji: | ID Taranenko, Andrej (Avtor)
ID Vesel, Aleksander (Avtor) |
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| Datoteke: |  Discussiones_Mathematicae_Graph_Theory_2012_Taranenko,_Vesel_1-factors_and_characterization_of_reducible_faces_of_plane_elementary_bipar.pdf (139,73 KB)
MD5: A21F6AD1F503FB243A47293022A1E0AC
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1607
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Znanstveno delo |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | As a general case of molecular graphs of benzenoid hydrocarbons, we study plane bipartite graphs with Kekulé structures (1-factors). A bipartite graph ▫$G$▫ is called elementary if ▫$G$▫ is connected and every edge belongs to a 1-factor of ▫$G$▫. Some properties of the minimal and the maximal 1-factor of a plane elementary graph are given. A peripheral face ▫$f$▫ of a plane elementary graph is reducible, if the removal of the internal vertices and edges of the path that is the intersection of ▫$f$▫ and the outer cycle of ▫$G$▫ results in an elementary graph. We characterize the reducible faces of a plane elementary bipartite graph. This result generalizes the characterization of reducible faces of an elementary benzenoid graph. |
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| Ključne besede: | mathematics, graph theory, plane elementary bipartite graph, reducible face, benzenoid graph |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 30.11.2010 |
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| Datum sprejetja članka: | 11.05.2011 |
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| Datum objave: | 24.05.2011 |
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| Založnik: | University Zielona Góra |
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| Leto izida: | 2012 |
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| Št. strani: | str. 289-297 |
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| Številčenje: | Letn. 32, št. 2 |
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| PID: | 20.500.12556/DKUM-65331  |
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| ISSN: | 1234-3099 |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 19104264 |
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| DOI: | 10.7151/dmgt.1607 |
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| ISSN pri članku: | 1234-3099 |
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| NUK URN: | URN:SI:UM:DK:HUQUGRZ5 |
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| Datum objave v DKUM: | 31.03.2017 |
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| Število ogledov: | 1318 |
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| Število prenosov: | 463 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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