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
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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 |
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Akronim Acronim |
J1-1695 |
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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. |
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Vrsta projekta Project Type |
Temeljni projekt |
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Trajanje Duration |
01/07/2019 - 30/06/2022 |
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URL URL |
https://p1-0285.iam.upr.si/sl/projekti/j1-1695 |
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Vodja projekta Project Leader |
dr. Štefko Miklavič |
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Sodelujoče organizacije Participating organizations |
UL Pedagoška fakulteta |
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Oddelek Department |
Oddelek za matematiko IAM |