| Title: | On [Theta]-graphs of partial cubes |
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| Authors: | ID Klavžar, Sandi (Author)
ID Kovše, Matjaž (Author) |
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| Files: |  Discussiones_Mathematicae_Graph_Theory_2007_Klavzar,_Kovse_On_Tetha-graphs_of_partial_cubes.pdf (150,56 KB)
MD5: AB1C9495EF94F335C7264839ACDDEC8A
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1363
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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 ▫$\Theta$▫-graph ▫$\Theta(G)$▫ of a partial cube ▫$G$▫ is the intersection graph of the equivalence classes of the Djokovic-Winkler relation. ▫$\Theta$▫-graphs that are 2-connected, trees, or complete graphs are characterized. In particular, ▫$\Theta(G)$▫ is complete if and only if ▫$G$▫ can be obtained from ▫$K_1$▫ by a sequence of (newly introduced) dense expansions. ▫$\Theta$▫-graphs are also compared with familiar concepts of crossing graphs and ▫$\tau$▫-graphs. |
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| Keywords: | mathematics, graph theory, intersection graph, partial cube, median graph, expansion theorem, Cartesian product of graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 25.04.2006 |
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| Article acceptance date: | 28.12.2006 |
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| Publication date: | 28.12.2006 |
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| Publisher: | University of Zielona Góra |
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| Year of publishing: | 2007 |
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| Number of pages: | 8 str. |
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| Numbering: | Letn. 27, št. 2 |
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| PID: | 20.500.12556/DKUM-65348  |
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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: | 14336089 |
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| NUK URN: | URN:SI:UM:DK:SNIQZJDB |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1239 |
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| Downloads: | 176 |
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| Metadata: |    |
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| Categories: | Misc.
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