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Pregled bibliografske jedinice broj: 767459

Tiling Groups with Difference Sets

Ćustić, Ante; Krčadinac, Vedran; Zhou, Yue
Tiling Groups with Difference Sets // The Electronic journal of combinatorics, 22 (2015), 2; P2.56, 13 doi:10.37236/5157 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 767459 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Tiling Groups with Difference Sets

Autori
Ćustić, Ante ; Krčadinac, Vedran ; Zhou, Yue

Izvornik
The Electronic journal of combinatorics (1077-8926) 22 (2015), 2; P2.56, 13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Difference set ; Tiling

Sažetak
We study tilings of groups with mutually disjoint difference sets. Some necessary existence conditions are proved and shown not to be sufficient. In the case of tilings with two difference sets we show the equivalence to skew Hadamard difference sets, and prove that they must be normalized if the group is abelian. Furthermore, we present some constructions of tilings based on cyclotomy and investigate tilings consisting of Singer difference sets.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Vedran Krčadinac (autor)

Poveznice na cjeloviti tekst rada:

doi www.combinatorics.org www.combinatorics.org

Citiraj ovu publikaciju:

Ćustić, Ante; Krčadinac, Vedran; Zhou, Yue
Tiling Groups with Difference Sets // The Electronic journal of combinatorics, 22 (2015), 2; P2.56, 13 doi:10.37236/5157 (međunarodna recenzija, članak, znanstveni)
Ćustić, A., Krčadinac, V. & Zhou, Y. (2015) Tiling Groups with Difference Sets. The Electronic journal of combinatorics, 22 (2), P2.56, 13 doi:10.37236/5157.
@article{article, author = {\'{C}usti\'{c}, Ante and Kr\v{c}adinac, Vedran and Zhou, Yue}, year = {2015}, pages = {13}, DOI = {10.37236/5157}, chapter = {P2.56}, keywords = {Difference set, Tiling}, journal = {The Electronic journal of combinatorics}, doi = {10.37236/5157}, volume = {22}, number = {2}, issn = {1077-8926}, title = {Tiling Groups with Difference Sets}, keyword = {Difference set, Tiling}, chapternumber = {P2.56} }
@article{article, author = {\'{C}usti\'{c}, Ante and Kr\v{c}adinac, Vedran and Zhou, Yue}, year = {2015}, pages = {13}, DOI = {10.37236/5157}, chapter = {P2.56}, keywords = {Difference set, Tiling}, journal = {The Electronic journal of combinatorics}, doi = {10.37236/5157}, volume = {22}, number = {2}, issn = {1077-8926}, title = {Tiling Groups with Difference Sets}, keyword = {Difference set, Tiling}, chapternumber = {P2.56} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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