Show simple item record

Application of the Grobner bases theory to tiling problems.

dc.contributor.advisorŽivaljević, Rade
dc.contributor.otherLipkovski, Aleksandar
dc.contributor.otherVrećica, Siniša
dc.contributor.otherPetrović, Zoran
dc.contributor.otherPrvulović, Branislav
dc.creatorMuzika-Dizdarević, Manuela
dc.date.accessioned2018-07-13T15:51:55Z
dc.date.available2018-07-13T15:51:55Z
dc.date.available2020-07-03T08:38:24Z
dc.date.issued2017-07-26
dc.identifier.urihttp://eteze.bg.ac.rs/application/showtheses?thesesId=5894
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/9627
dc.identifier.urihttps://fedorabg.bg.ac.rs/fedora/get/o:17882/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=50180111
dc.description.abstractPredmet ove doktorske disertacije je primena algebarskih tehnika na jednu od centralnih tema kombinatorike i diskretne geometrije - poliomino poplocavanja. Poliomino poplocavanja su interesantna ne samo matematicarima nego i zicarima i biolozima, a imaju i primenu u racunarskim naukama. U ovoj disertaciji akcenat je stavljen na mogucnost da se posebna klasa problema poplocavanja koja su invarijantna u odnosu na delovanje konacne grupe resi primenom teorije Grebnerovih baza za prstene polinoma nad prstenom celih brojeva Z. Metoda koja se koristi odrazava duboku povezanost izmedu algebre, geometrije i kombinatorike...sr
dc.description.abstractSubject of this doctoral thesis is the application of algebraic techniques on one of the central topics of combinatorics and discrete geometry - polyomino tiling. Polyomino tilings are interesting not only to mathematicians, but also to physicists and biologists, and they can also be applied in computer science. In this thesis we put some emphasis on possibility to solve special class of tiling problems, that are invariant under the action of nite group, by using theory of Gr obner basis for polynomial rings with integer coecients. Method used here re ects deep connection between algebra, geometry and combinatorics...en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Београду, Математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Београдуsr
dc.subjectZ-poplocavanjasr
dc.subjectZ-tilingsen
dc.subjectsimetricna Z-poplocavanjasr
dc.subjectGrebnerove bazesr
dc.subjectresetke u ravnisr
dc.subjectprsten invarijantisr
dc.subjectsymmetric Z-tilingsen
dc.subjectG obner basesen
dc.subjectlattice in the planeen
dc.subjectring of invariantsen
dc.titlePrimena Grebnerovih baza na probleme popločavanjasr
dc.title.alternativeApplication of the Grobner bases theory to tiling problems.en
dc.typedoctoralThesis
dc.rights.licenseBY
dcterms.abstractЖиваљевић, Раде; Петровић, Зоран; Липковски, Aлександар; Врећица, Синиша; Првуловић, Бранислав; Музика-Диздаревић, Мануела; Примена Гребнерових база на проблеме поплочавања; Примена Гребнерових база на проблеме поплочавања;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/6452/IzvestajKomisije17140.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/6451/Disertacija.pdf


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record