| Title: | Transit functions and clustering systems |
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| Authors: | ID Changat, Manoj (Author)
ID Vaheeda Shanavas, Ameera (Author)
ID Stadler, Peter F. (Author) |
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| Files: |  ADAM_Changat,Vaheeda_Shanavas,Stadler_2025.pdf (537,66 KB)
MD5: 60C87CA6B9A41FEB80151EB21879F988
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | Transit functions serve not only as abstractions of betweenness and convexity but are also closely connected with clustering systems. Here, we investigate the canonical transit functions of binary clustering systems inspired by pyramids, i.e., interval hypergraphs. We provide alternative characterizations of weak hierarchies, and introduce union-closed binary clustering systems as a subclass of pyramids and weakly pyramidal clustering systems as an interesting generalization. |
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| Keywords: | transit function, convexity, binary clustering, weak hierarchy, pyramid |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 18.03.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 19 str. |
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| Numbering: | Vol. 8, no. 2, [article no.] P2.06 |
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| PID: | 20.500.12556/RUP-22069  |
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| UDC: | 51 |
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| eISSN: | 2590-9770 |
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| DOI: | https://doi.org/10.26493/2590-9770.1782.ec6 |
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| Publication date in RUP: | 03.11.2025 |
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| Views: | 276 |
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| Downloads: | 2 |
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