20.500.12556/RUP-22069 Transit functions and clustering systems Tranzitne funkcije in grozdni sistemi 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. transit function convexity binary clustering weak hierarchy pyramid tranzitna funkcija konveksnost binarno grozdenje šibke hierarhije piramide true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-11-03 11:40:17 2025-11-03 11:40:17 2025-11-18 03:04:46 0000-00-00 00:00:00 2025 0 0 19 str. no. 2, [article no.] P2.06 Vol. 8 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-03-18 51 2590-9770 https://doi.org/10.26493/2590-9770.1782.ec6 ADAM_Changat,Vaheeda_Shanavas,Stadler_2025.pdf ADAM_Changat,Vaheeda_Shanavas,Stadler_2025.pdf 1 60C87CA6B9A41FEB80151EB21879F988 4e1a176ad2f9c62d79b57def18476d6fa8a59e8ecb0a6467f1e7c0371ff632ff a74464fd-b8a2-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32014 Založba Univerze na Primorskem 0 0 0