Algebraična teorija grafov in aplikacije / Algebraic Graph Theory and Applications
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Naziv Tittle |
Algebraična teorija grafov in aplikacije / Algebraic Graph Theory and Applications |
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Akronim Acronim |
J1-4021 |
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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. |
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Vrsta projekta Project Type |
Temeljni projekt |
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Trajanje Duration |
01/07/2011 - 15/03/2015 |
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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 |
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Vodja projekta Project Leader |
Dragan Marušič |
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Sodelujoče organizacije Participating organizations |
UP FAMNIT; UL Pedagoška fakulteta |
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Oddelek Department |
Oddelek za matematiko IAM |