| Title: | Tribes of cubic partial cubes |
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| Authors: | ID Klavžar, Sandi (Author)
ID Shpectorov, Sergey (Author) |
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| Files: |  Discrete_Mathematics_&_Theoretical_Computer_Science_2007_Klavzar,_Shpectorov_Tribes_of_cubic_partial_cubes.pdf (688,41 KB)
MD5: 047C21C18013C20D4325450FC19CFA9F
 http://dmtcs.episciences.org/398
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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: | Partial cubes are graphs isometrically embeddable into hypercubes. Three infinite families and a few sporadic examples of cubic partial cubes are known. The concept of a tribe is introduced as means to systematize the known examples and establish relations among them. Efficient methods of computation of tribes are developed and several concrete tribes, that include known, as well as new cubic partial cubes, are computed by hand and with the use of a computer. |
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| Keywords: | mathematics, graph theory, partial cube, hypercube, isometric embedding, tribe, algorithm |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 16.09.2005 |
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| Article acceptance date: | 29.05.2007 |
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| Publication date: | 15.10.2007 |
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| Publisher: | Discrete Mathematics & Theoretical Computer Science |
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| Year of publishing: | 2007 |
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| Number of pages: | Str. 273-292 |
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| Numbering: | Letn. 9, št. 1 |
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| PID: | 20.500.12556/DKUM-51603  |
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| ISSN: | 1365-8050 |
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| UDC: | 519.17 |
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| ISSN on article: | 1365-8050 |
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| COBISS.SI-ID: | 14452569 |
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| NUK URN: | URN:SI:UM:DK:A49RXY2J |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1324 |
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| Downloads: | 205 |
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| Metadata: |    |
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| Categories: | Misc.
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