National Repository of Dissertations in Serbia
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrilic)
    • Serbian (Latin)
  • Login
View Item 
  •   NaRDuS home
  • Универзитет у Београду
  • Математички факултет
  • View Item
  •   NaRDuS home
  • Универзитет у Београду
  • Математички факултет
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Primena Grebnerovih baza na probleme popločavanja

Application of the Grobner bases theory to tiling problems.

Thumbnail
2017
Disertacija.pdf (31.69Mb)
IzvestajKomisije17140.pdf (108.0Kb)
Author
Muzika-Dizdarević, Manuela
Mentor
Živaljević, Rade
Committee members
Lipkovski, Aleksandar
Vrećica, Siniša
Petrović, Zoran
Prvulović, Branislav
Metadata
Show full item record
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...
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...
Faculty:
Универзитет у Београду, Математички факултет
Date:
26-07-2017
Keywords:
Z-poplocavanja / Z-tilings / simetricna Z-poplocavanja / Grebnerove baze / resetke u ravni / prsten invarijanti / symmetric Z-tilings / G obner bases / lattice in the plane / ring of invariants
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_nardus_9627
URI
http://eteze.bg.ac.rs/application/showtheses?thesesId=5894
https://nardus.mpn.gov.rs/handle/123456789/9627
https://fedorabg.bg.ac.rs/fedora/get/o:17882/bdef:Content/download
http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=50180111

DSpace software copyright © 2002-2015  DuraSpace
About NaRDus | Contact us

OpenAIRERCUBRODOSTEMPUS
 

 

Browse

All of DSpaceUniversities & FacultiesAuthorsMentorCommittee membersSubjectsThis CollectionAuthorsMentorCommittee membersSubjects

DSpace software copyright © 2002-2015  DuraSpace
About NaRDus | Contact us

OpenAIRERCUBRODOSTEMPUS