Приказ основних података о дисертацији
Primena Grebnerovih baza na probleme popločavanja
Application of the Grobner bases theory to tiling problems.
dc.contributor.advisor | Živaljević, Rade | |
dc.contributor.other | Lipkovski, Aleksandar | |
dc.contributor.other | Vrećica, Siniša | |
dc.contributor.other | Petrović, Zoran | |
dc.contributor.other | Prvulović, Branislav | |
dc.creator | Muzika-Dizdarević, Manuela | |
dc.date.accessioned | 2018-07-13T15:51:55Z | |
dc.date.available | 2018-07-13T15:51:55Z | |
dc.date.available | 2020-07-03T08:38:24Z | |
dc.date.issued | 2017-07-26 | |
dc.identifier.uri | http://eteze.bg.ac.rs/application/showtheses?thesesId=5894 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/9627 | |
dc.identifier.uri | https://fedorabg.bg.ac.rs/fedora/get/o:17882/bdef:Content/download | |
dc.identifier.uri | http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=50180111 | |
dc.description.abstract | Predmet 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.abstract | Subject 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.format | application/pdf | |
dc.language | sr | |
dc.publisher | Универзитет у Београду, Математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Универзитет у Београду | sr |
dc.subject | Z-poplocavanja | sr |
dc.subject | Z-tilings | en |
dc.subject | simetricna Z-poplocavanja | sr |
dc.subject | Grebnerove baze | sr |
dc.subject | resetke u ravni | sr |
dc.subject | prsten invarijanti | sr |
dc.subject | symmetric Z-tilings | en |
dc.subject | G obner bases | en |
dc.subject | lattice in the plane | en |
dc.subject | ring of invariants | en |
dc.title | Primena Grebnerovih baza na probleme popločavanja | sr |
dc.title.alternative | Application of the Grobner bases theory to tiling problems. | en |
dc.type | doctoralThesis | en |
dc.rights.license | BY | |
dcterms.abstract | Живаљевић, 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.fulltext | https://nardus.mpn.gov.rs/bitstream/id/6451/Disertacija.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/6452/IzvestajKomisije17140.pdf | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/6451/Disertacija.pdf | |
dc.identifier.fulltext | http://nardus.mpn.gov.rs/bitstream/id/6452/IzvestajKomisije17140.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_9627 |