<p>U prvoj glavi dat je prikaz osnovnih pojmova koji se koriste u tezi, sa naglaskom na osnovne pojmove teorije grafova. U drugoj glavi daju se grafovski dokazi nekih geometrijskih problema. Na primer, dajemo dokaz poznate teoreme Silvestra. iz Kombinatorne geometrije, koristeći grafove. Treće poglavlje sadrži neke geometrijske dokaze u grafovima. Na primer, poznatu Turanovu teoremu, Pikovu teoremu i drugo. U četvrtom poglavlju dajemo metodičku transformaciju prethodnih problema. Neki od problema razloženi su na delove koji se mogu prezentirati od osnovne škole do poslediplomskih studija. Peto poglavlje sadrži komentare prethodnog, kao i preporuku UNESCO-a iz 1992. godine o obrazovanju učenika u novom milenijumu.</p> / <p>Chapter 1 contains a shoot review of the basic notions which are used in the thesis with emphasis on the basic notions of graph theory. In Chapter 2we present graph proofs of some geometrical problems. For example, we present some proofs of the well known theorem of Sylvester, from Combinatorial geometry, using graph methods. In Chapter 3 we present some proofs in graphs which use geometry. For example, famous Turan’s theorem, Pick’s theorem and some others. Chapter 4 contains methodology transformations i.e. we apply the results from the previous chapters to the situations in the clossroom. In Chapter 5 we have some comments of UNESCO, from 1992, on education of children.</p>
| Identifer | oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)73402 |
| Date | 12 February 2005 |
| Creators | Subotić Borivoj |
| Contributors | Tošić Ratko, Herceg Dragoslav, Petrović Nenad, Bodroža-Pantić Olga |
| Publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, University of Novi Sad, Faculty of Sciences at Novi Sad |
| Source Sets | University of Novi Sad |
| Language | Serbian |
| Detected Language | Unknown |
| Type | PhD thesis |
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