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Every finite group has a normal bi-Cayley graphZhou, Jin-XinGraf ▫$\Gamma$▫ z grupo avtomorfizmov ▫$H$▫, ki deluje polregularno na vozliščih z dvema orbitama se imenuje bi-Cayleyev graf nad grupo ▫$H$▫. Kadar je ▫$H$▫ edinka grupe ▫$\text{Aut}(\Gamma)$▫, ... pravimo da je ▫$\Gamma$▫ normalen graf glede na grupo ▫$H$▫. V tem članku pokažemo, da ima vsaka končna grupa povezan normalen bi-Cayleyev graf. To je izboljšava izreka Arezoomanda in Taerija in daje pozitiven odgovor na vprašanje, omenjeno v literaturi.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 14, no. 1, 2018, str. 177-186)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18410841
Author
Zhou, Jin-Xin
Topics
teorija grafov |
bi-Cayleyev graf |
končne grupe |
kartezični produkt
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