| Title: | 1-factors and characterization of reducible faces of plane elementary bipartite graphs |
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| Authors: | ID Taranenko, Andrej (Author)
ID Vesel, Aleksander (Author) |
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| Files: |  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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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | 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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| Keywords: | mathematics, graph theory, plane elementary bipartite graph, reducible face, benzenoid graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 30.11.2010 |
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| Article acceptance date: | 11.05.2011 |
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| Publication date: | 24.05.2011 |
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| Publisher: | University Zielona Góra |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 289-297 |
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| Numbering: | 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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| UDC: | 519.17 |
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| ISSN on article: | 1234-3099 |
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| COBISS.SI-ID: | 19104264 |
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| DOI: | 10.7151/dmgt.1607 |
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| NUK URN: | URN:SI:UM:DK:HUQUGRZ5 |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1316 |
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| Downloads: | 463 |
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| Metadata: |    |
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| Categories: | Misc.
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