Pregled bibliografske jedinice broj: 860125
Mosaics of combinatorial designs
Mosaics of combinatorial designs // Designs, codes and cryptography, 86 (2018), 1; 85-95 doi:10.1007/s10623-017-0328-6 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 860125 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Mosaics of combinatorial designs
Autori
Gnilke, Oliver Wilhelm ; Greferath, Marcus ; Pavčević, Mario Osvin
Izvornik
Designs, codes and cryptography (0925-1022) 86
(2018), 1;
85-95
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
t-Design, c-Mosaic, Affine plane, Resolvable design
Sažetak
Looking at incidence matrices of t-(v, k, l) designs as v x b matrices with two possible entries, each of which indicates incidences of a t-design, we introduce the notion of a c- mosaic of designs, having the same number of points and blocks, as a matrix with c different entries, such that each entry defines incidences of a design. In fact, a v x b matrix is decomposed in c incidence matrices of designs, each denoted by a different colour, hence this decomposition might be seen as a tiling of a matrix with incidence matrices of designs as well. These mosaics have applications in experiment design when considering a simultaneous run of several different experiments. We have constructed infinite series of examples of mosaics and state some probably non-trivial open problems. Furthermore we extend our definition to the case of q-analogues of designs in a meaningful way.
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:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario-Osvin Pavčević
(autor)
Citiraj ovu publikaciju:
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::
- ACM Digital Library
- CNKI
- Computer and Communication Security Abstracts
- Current Abstracts
- CNK
- Computer and Communication Security Abstracts
- Computer Science Index
- Current Abstracts
- EBSCO
- Gale
- Google Scholar
- Journal Citation Reports/Science Edition
- Mathematical Reviews
- OCLC
- PASCAL
- ProQuest
- Referativnyi Zhurnal
