Parcijalne geometrije

master's thesis

• Title (english): Partial geometries
• Author: Vedrana Cvijin
• Mentor: Vedran Krčadinac (mentor)
• Committee member: Vedran Krčadinac (predsjednik povjerenstva)
• Committee member: Dijana Ilišević (član povjerenstva)
• Committee member: Igor Ciganović (član povjerenstva)
• Committee member: Luka Grubišić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-09-21, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu bavimo se parcijalnim geometrijama. Najprije se upoznajemo s incidencijskim strukturama poput Steinerovih 2-dizajna, mreža i generalizranih četverokuta, to jest, sa specijalnim slučajevima parcijalnih geometrija. Nakon tog obradili smo jako regularne grafove. U posljednjem, glavnom poglavlju povezujemo parcijalne geometrije sa spomenutim incidencijskim strukturama i grafovima. Objašnjavamo dvije konstrukcije pravih parcijalnih geometrija, koje ne pripadaju obrađenim posebnim slučajevima.

Abstract (english)

In this thesis we learn about partial geometries. First, we introduce incidence structures like Steiner's 2-designs, nets and generalized quadrangles, that is, special cases of partial geometries. After that we introduce strongly regular graphs. In the last, main chapter, we connect partial geometries with already mentioned incidence structures and graphs. We describe two constructions of proper partial geometries that don't belong to introduced special cases.

• Keywords: incidencijske strukture; Steinerovi 2-dizajni; jako regularni grafovi
• Keywords (english): incidence structures; Steiner's 2-designs; strongly regular graphs
• Language: croatian
• URN:NBN: urn:nbn:hr:217:659423
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-10-26 07:24:08