20.500.12556/RUL-180459 A characterization of tetravalent half-arc-transitive graphs of girth 5 A graph is said to be half-arc-transitive if its automorphismgroup is transitive on the vertices and the edges of the graph but not on its arcs. Tetravalent half-arc-transitive graphsof girth 3 were characterized by Marušič and Xu in 1997,while those of girth 4 were characterized by Marušič and Nedela in 2002 and by Potočnik and Wilson in 2007. The investigation of tetravalent half-arc-transitive graphs of girth 5 was initiated by Antončič and Šparl in 2023. In this paper, a characterization of all tetravalent half-arc-transitive graphsof girth 5 is given, and as an application, two open questions from Antončič and Šparl (2023) [1] are answered. Tetravalent graph Half-arc-transitive Girth 5 tetravalentni pol-lok-transitivni grafi matematika true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-10 08:50:35 2026-03-10 08:50:36 2026-03-11 04:38:29 0000-00-00 00:00:00 2026 0 0 27 str. Vol. 221 art. 106167 Jul. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 1096-0899 10.1016/j.jcta.2026.106167 270921987 RAZ_Sparl_Primoz_2026.pdf RAZ_Sparl_Primoz_2026.pdf 1 70D519869D02F40D6081B5AC47947BF7 f21419da99d3e187357c0c81d0909268a522ea79c0b94767181aa9b0f5407ffe 225a622e-1c57-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229877 https://www.sciencedirect.com/science/article/pii/S0097316526000105?via%3Dihub 1 6774bea5-1c55-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229876 Pedagoška fakulteta 0 0 0