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Simetrija v metroidih / Symmetry in Matroids

Naziv

Tittle

Simetrija v metroidih / Symmetry in Matroids

Akronim

Acronim

BI-US/18-20-048

Opis

Description

(SI) Najprej bomo poskušali izkoristiti veliko večje poznavanje delovanja grupe avtomorfizmov na povezavah grafa, da ugotovimo, ali grupe avtomorfizmov grafov določajo grupo avtomorfizmov pripadajočih grafičnih matroidov. V kolikor se izkaže, da temu ni tako, bomo poskušali ugotoviti koliko dodatnih avtomorfizmov (simetrij) premorejo grafični matroidi glede na grafe. Nato bomo poskušali obravnavati analoge Cayleyevim grafom v splošnih matroidih in morda poiskali karakterizacijo v smislu “Sabidussi”-jeve karakterizacije za Cayleyeve grafe. Od tu se bodo naravno odpirale smeri nadaljnjega raziskovanja.
(EN) First, we will try to exploit the much greater knowledge of the action of group automorphisms on graph links to see whether the group automorphisms of graphs determine the group automorphisms of the corresponding graph matroids. If this turns out not to be the case, we will try to find out how many additional automorphisms (symmetries) the graph matroids have with respect to the graphs. We will then try to consider analogs to Cayley graphs in general matroids and perhaps find a characterization in terms of the "Sabidussi"-characterization for Cayley graphs. From here, directions for further research will naturally open up.

Trajanje

Duration

01/10/2018 - 30/09/2021

Vodja projekta

Project Leader

dr. Edward Tauscher Dobson

Sodelujoče organizacije

Participating organizations

The Univesrity of Mississippi, Department of Mathematics

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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