| Title: | Arboreal structure and regular graphs of median-like classes |
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| Authors: | ID Brešar, Boštjan (Author) |
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| Files: |  Discussiones_Mathematicae_Graph_Theory_2003_Bresar_Arboreal_structure_and_regular_graphs_of_median-like_classes.pdf (127,35 KB)
MD5: 90ED56DF748C8B8B97D4BD9C18DF3C11
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1198
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | We consider classes of graphs that enjoy the following properties: they are closed for gated subgraphs, gated amalgamation and Cartesian products, and for any gated subgraph the inverse of gate function maps vertices to gated subsets. We prove that any graph of such a class contains a peripheral subgraph which is a Cartesian product of two graphs: a gated subgraph and a prime graph minus a vertex. Therefore, these graphs admit a peripheral elimination procedure which is a generalization of analogous procedure in median graphs. We characterize regular graphs of these classes whenever they enjoy an additional properties. As a corollary we derive that regular weakly median graphs are precisely Cartesian products in which each factor is a complete graph or a hyperoctahedron. |
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| Keywords: | mathematics, graph theory, median graph, tree, gatedness, amalgam, periphery, regular graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2003 |
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| Number of pages: | str. 215-225 |
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| Numbering: | Letn. 23, št. 2 |
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| PID: | 20.500.12556/DKUM-65334  |
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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: | 12602713 |
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| NUK URN: | URN:SI:UM:DK:TLVY6BWE |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1226 |
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| Downloads: | 509 |
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| Metadata: |    |
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| Categories: | Misc.
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