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Grafi s primitivno grupo avtomorfizmov / Graphs with primitive automorphism group

Naziv

Tittle

Grafi s primitivno grupo avtomorfizmov / Graphs with primitive automorphism group

Akronim

Acronim

BI-RU/19-20-033

Opis

Description

(SI) Vokviru predlaganega bilateralnega projekta bomo obravnavali obstoj hamiltonskih ciklov v točkovno-tranzitivnih grafih s primitivno grupo avtomorfizmov, poseben primer dobro poznane odprte Lovaszove domneve o obstoju hamiltonskih ciklov oziroma poti v povezanih točkovno tranzitivnih grafih. (Osnovne definicije: Točkovno tranzitiven graf je graf, katerega grupa avtomorfizmov deluje tranzitivno na množici točk. Permuatcijska grupa je primitivna v kolikor ne premore netrivialnih invariantnih particij. Hamiltonski cikel (pot) je cikel (pot) v grafu, ki vsebuje vse točke grafa.)
(EN) Within the framework of the proposed bilateral project, we will study the existence of Hamiltonian cycles in vertex-transitive graphs with a primitive group of automorphisms. This is a special case of the well-known open Lovasz's conjecture about the existence of Hamiltonian cycles and paths in connected vertex-transitive graphs. (Basic definitions: A vertex-transitive graph is a graph whose automorphism group acts transitively on the vertices of the graph). A permutation group is primitive if it does not admit any non-trivial invariant partition. A Hamiltonian cycle (path) is a cycle (path) in a graph that contains all the vertices of the graph.

Trajanje

Duration

01/01/2019 - 31/12/2021

Vodja projekta

Project Leader

Klavdija Kutnar

Sodelujoče organizacije

Participating organizations

Federal Research Centre "Computer Science and Control", Institute for System Analysis Russian Academy of Science

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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