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Polregularni in kvazi-polregularni avtomorfizmi grafov / Semiregular and quasi-semiregular automorphisms in graphs

Naziv

Tittle

Polregularni in kvazi-polregularni avtomorfizmi grafov / Semiregular and quasi-semiregular automorphisms in graphs

Akronim

Acronim

BI-BA/19-20-006

Opis

Description

(SI) Cilj projekta je nadaljevati s študijem polregularnih in kvazi-polregularnih avtomorfizmov v točkovnotranzitivnih grafih. Za polregularne avtomorfizme bomo poskusili rešiti najmanjšo odprto valenco, oziroma valenco 5, poleg tega bomo začeli z inovativnim pristopom obravnavanja grafov s fiksnim stabilizatorjem točke. Za probleme povezane s s kvazi-polregularnimi avtomorfizmi, poskusili bomo klasificirati vse točkovno-tranzitivne grafe valence 5, ki premorejo tak avtomorfizem. 
(EN) The aim of this project is to continue with the study of semiregular and quasi-semiregular automorphisms in vertex-transitive graphs. For semiregular automorphisms, we will try to solve the smallest open valency, that is valency 5, and besides that, we will start with an innovative approach of considering graphs with fixed order of vertex-stabilizer. For the problems related to quasisemiregular automorphisms, we will try to classify all vertex-transitive graphs of valency 5 admitting a quasi-semiregular automorphism.

Trajanje

Duration

15/01/2019 - 31/12/2022

Vodja projekta

Project Leader

Ademir Hujdurović

Sodelujoče organizacije

Participating organizations

Prirodno-matematički fakultet Univerzitete u Tuzli

Oddelek

Department

Oddelek za matematiko IAM
University of Primorska

Andrej Marušič Institute
UP IAM

Muzejski trg 2
6000 Koper
Slovenia

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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