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Razdaljno-regularni grafi: nerazcepni T-moduli s krajiščem 1 in delovanje grupe automorfizmov / Distance-regular graphs: irreducible T-modules with endpoint 1 and action of the automorphism group

Naziv

Tittle

Razdaljno-regularni grafi: nerazcepni T-moduli s krajiščem 1 in delovanje grupe automorfizmov / Distance-regular graphs: irreducible T-modules with endpoint 1 and action of the automorphism group

Akronim

Acronim

J1-1695

Opis

Description

(SI) V predlaganem projektu bomo raziskovali tako imenovane razdaljno-regularne grafe. Ogrodja petih platonskih teles so primeri takšnih grafov. Izkaže se, da je teorija razdaljno-regularnih grafov povezana tudi z mnogimi drugimi področji matematike, kot so na primer teorija kodiranja, teorija reprezentacij in teorija ortogonalnih polinomov. Prrojekt je sestavljen iz dveh glavnih delov: študija Terwilliger-jevih algeber razdaljno regularnih grafov (preko nerazcepnih modulov), ter študija delovanj grup avtomorfizmov razdaljno-regularnih grafov.
(EN) Our research concerns a combinatorial object known as a graph. A graph is a finite set of vertices, together with a set of undirected arcs or edges, each of which connects a pair of distinct vertices. We say that vertices x; y are adjacent whenever x; y are connected by an edge. The concept of a graph is useful because mathematical as well as intuitive notions can be formulated in terms of adjacency. In our research we study graphs which are called distance-regular. The 1-skeletons of the five platonic solids provide examples of distanceregular graphs. The theory of distance-regular graphs is connected to some other areas of mathematics, such as coding theory, representation theory, and the theory of orthogonal polynomials.

Vrsta projekta

Project Type

Temeljni projekt

Trajanje

Duration

01/07/2019 - 30/06/2022

URL

URL

https://p1-0285.iam.upr.si/sl/projekti/j1-1695

Vodja projekta

Project Leader

dr. Štefko Miklavič

Sodelujoče organizacije

Participating organizations

UL Pedagoška fakulteta

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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