| Title: | Characterizing posets for which their natural transit functions coincide |
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| Authors: | ID Brešar, Boštjan (Author)
ID Changat, Manoj (Author)
ID Klavžar, Sandi (Author)
ID Mathews, Joseph (Author)
ID Mathews, Antony (Author)
ID Narasimha-Shenoi, Prasanth G. (Author) |
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| Files: |  http://amc.imfm.si/index.php/amc/article/viewFile/72/57
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| Language: | English |
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| Work type: | Not categorized |
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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: | Standardna tranzitna funkcija delno urejene množice ▫$P$▫ je funkcija ▫$T_P$▫, ki vsakemu paru primerljivih elementov priredi interval med njima, za neprimerljiva elementa ▫$x,y$▫ pa je ▫$T_P(x,y) = {x,y}$▫. Na tri načine, tudi s prepovedanimi delno urejenimi podmnožicami, okarakteriziramo tiste delno urejene množice, v katerih standardna tranzitna funkcija sovpada s tranzitno funkcijo najkrajših poti njenega grafa pokritij-neprimerljivosti. |
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| Keywords: | matematika, teorija grafov, tranzitna funkcija, rangirana delno urejena množica, temeljni graf, geodetski interval, interval induciranih poti, mathematics, graph theory, transit function, ranked poset, underlying graph, geodesic interval, induced-path interval |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 27-33 |
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| Numbering: | Vol. 2, no. 1 |
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| PID: | 20.500.12556/DKUM-49383  |
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| UDC: | 519.17 |
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| ISSN on article: | 1855-3966 |
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| COBISS.SI-ID: | 15155289 |
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| NUK URN: | URN:SI:UM:DK:IOCTGTXJ |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1530 |
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| Downloads: | 132 |
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| Metadata: |    |
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| Categories: | Misc.
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