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Algebraična teorija grafov in aplikacije / Algebraic Graph Theory and Applications

Naziv

Tittle

Algebraična teorija grafov in aplikacije / Algebraic Graph Theory and Applications

Akronim

Acronim

J1-4021

Opis

Description

(SI) Predlagani projekt sodi v prvo linijo današnjih raziskovalnih trendov na področju ATG. Osredotočen je na najbolj obetavne raziskovalne smeri znotraj ATG. Trenutno stanje področja in zgodovinsko pomembni prispevki so zgoščeno orisani, navedeni so naši glavni raziskovalni cilji, ki so osnovani na preteklih rezultatih in prispevkih sodelavcev projekta. Ti cilji vsebujejo študij pomembnih odprtih problemov in domnev s področja AGT, kar predpostavlja vzporedno poglobljeno preiskovanje raznovrstnih kombinatoričnih objektov skupaj z razvojem spremljajočih teoretičnih osnov, in navsezadnje, implementacijo računskih orodij, algoritmov. Navkljub potencialu za konkretno uporabo naših rezultatov v različnih vejah tehnologije in industrije, pa osrednji del naših raziskav predstavlja celosten razvoj matematike kot univerzalnega jezika in trajen prispevek naši civilizaciji. Načrtujemo tudi sodelovanje s tremi raziskovalnimi ustanovami v Avstraliji, Izraelu in ZDA, kjer deluje nekaj svetovno najuglednejših strokovnjakov za ATG.
(EN) This project stands at the cutting edge of today’s research trends in AGT. It concentrates on some of the most relevant research areas within AGT. The current state of the art and important historical contributions are briefly sketched, and our main research goals, based on the past results and contributions of the project participants, are stated. These goals include the study of important open problems and conjectures in AGT, which presupposes a parallel in-depth investigation of various combinatorial objects together with the development of the accompanying theoretical foundations, and last but not least, implementation of computational tools and algorithms. In spite of large potentials for concrete use of our results in certain branches of technology and industry, the focus of our research remains an overall development of mathematics as a universal language and a permanent contribution to our civilization. The project involves a number of researchers with excellent publishing records, currently active in Slovenia, guaranteeing research at the highest possible level. Nevertheless, a collaboration with three research institutions from Australia, Israel, and the USA where some of the most renowned world experts in AGT are based, is planned too. 

Vrsta projekta

Project Type

Temeljni projekt

Trajanje

Duration

01/07/2011 - 15/03/2015

URL

URL

https://www.sicris.si/public/jqm/search_basic.aspx?lang=slv&opdescr=search&opt=2&subopt=1&code1=cmn&code2=auto&search_term=J1-4021

Vodja projekta

Project Leader

Dragan Marušič

Sodelujoče organizacije

Participating organizations

UP FAMNIT; 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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