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Abstraktni poligonalni kompleksi in njihove reprezentacije / Abstract polygonal complexes and their representations

Naziv

Tittle

Abstraktni poligonalni kompleksi in njihove reprezentacije / Abstract polygonal complexes and their representations

Akronim

Acronim

BI-US/16-17-027

Opis

Description

(SI) Razvili bomo teorijo abstraktnih poligonalnih kompleksov in njihovih reprezentacij ter realizacij. Teorijo abstraktnih poligonalnih kompleksov bomo nadgradili z računalniško implementacijo. Preučevali bomo tudi praporne grafe, ki so jih uporabljali predvsem za zemljevide na sklenjenih ploskvah. Mi pa jih želimo proučevati za splošne abstraktne poligonalne komplekse, predvsem v zvezi s simetrijo. Nameravamo tudi obravnavati tiste operacije na njih, ki jih je možno opisati s subdivizijo prapornih trikotnikov.
(EN) We will develop a theory of abstract polygonal complexes and their representations and realisations. We will build on the theory of abstract polygonal complexes with a computational implementation. We will also study threshold graphs, which have been used mainly for maps on closed surfaces. We want to study them for general abstract polygonal complexes, in particular with respect to symmetry. We also intend to consider those operations on them which can be described by subdivision of the prime triangles.

Trajanje

Duration

01/01/2016 - 31/12/2017

Vodja projekta

Project Leader

Tomaž Pisanski

Sodelujoče organizacije

Participating organizations

Northeastern University

Oddelek

Department

Oddelek za matematiko IAM
Univerza na Primorskem

Inštitut Andrej Marušič
UP IAM

Muzejski trg 2
6000 Koper
Slovenija

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