| Title: | The periphery graph of a median graph |
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| Authors: | ID Brešar, Boštjan (Author)
ID Changat, Manoj (Author)
ID Subhamathi, Ajitha R. (Author)
ID Tepeh, Aleksandra (Author) |
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| Files: |  Discussiones_Mathematicae_Graph_Theory_2010_Bresar_et_al._The_periphery_graph_of_a_median_graph.pdf (145,86 KB)
MD5: 3E369953FC6F1AC9E804439E845A0BCC
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1473
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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: | The periphery graph of a median graph is the intersection graph of its peripheral subgraphs. We show that every graph without a universal vertex can be realized as the periphery graph of a median graph. We characterize those median graphs whose periphery graph is the join of two graphs and show that they are precisely Cartesian products of median graphs. Path-like median graphs are introduced as the graphs whose periphery graph has independence number 2, and it is proved that there are path-like median graphs with arbitrarily large geodetic number. Peripheral expansion with respect to periphery graph is also considered, and connections with the concept of crossing graph are established. |
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| Keywords: | mathematics, graph theory, median graph, Cartesian product, geodesic, periphery, peripheral expansion |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 11.06.2008 |
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| Publication date: | 05.01.2009 |
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| Publisher: | University of Zielona Góra |
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| Year of publishing: | 2010 |
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| Number of pages: | Str. 17-32 |
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| Numbering: | Letn. 30, št. 1 |
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| PID: | 20.500.12556/DKUM-65354  |
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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: | 15637081 |
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| NUK URN: | URN:SI:UM:DK:D2OZSN9J |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1673 |
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| Downloads: | 514 |
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| Metadata: |    |
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| Categories: | Misc.
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