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2. On 3-isoregularity of multicirculantsKlavdija Kutnar, Dragan Marušič, Štefko Miklavič, 2025, original scientific article Abstract: A graph is said to be k-isoregular if any two vertex subsets of cardinality at most k, that induce subgraphs of the same isomorphism type, have the same number of neighbors. It is shown that no 3-isoregular bicirculant (and more generally, no locally 3-isoregular bicirculant) of order twice an odd number exists. Further, partial results for bicirculants of order twice an even number as well as tricirculants of specific orders, are also obtained. Since 3-isoregular graphs are necessarily strongly regular, a motivation for the above result about bicirculants is that it brings us a step closer to obtaining a direct proof of a classical consequence of the Classification of Finite Simple Groups, that no simply primitive group of degree twice a prime exists for primes greater than 5.
Keywords: 3-isoregularity, strongly regular graph, bicirculant, tricirculant
Published in RUP: 06.08.2025; Views: 410; Downloads: 3
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4. Vedenjske lastnosti skozi čas in med državami : eseji o posredni recipročnosti, zavajanju ter narodnostiŽiga Velkavrh, 2022, doctoral dissertation Keywords: altruism, behavioral strategies, cross-national study, deception, deception game, experiential behavior, helping game, honesty, indirect reciprocity
Published in RUP: 17.11.2022; Views: 2654; Downloads: 49
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8. Moduli : zaključna projektna nalogaLorena Mahne, 2010, undergraduate thesis Keywords: kolobar, baza, modul, podmodul, homomorfizem modulov, izomorfizem, direktna vsota, Artinianov modul, Noetherianov modul, grupa, vektorski prostor, linearna preslikava, vektor
Published in RUP: 07.09.2022; Views: 2071; Downloads: 22
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