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Previous issue date: 2011-08-26 / Intuitively, the basic idea of Design Theory consists of a way to select subsets, also called
blocks, of a finite set, so that some properties are satisfied. The more general case are the
blocks designs. A PBD is an ordered pair (S;B), where S is a finite set of symbols, and B
is a collection of subsets of S called blocks, such that each pair of distinct elements of S
occur together in exactly one block of B. A Steiner Triple System is a particular case of a
PBD, where every block has size only 3, being called triples. The main focus is in building
technology systems. By resolvability is discussed as a Steiner Triple Systems is resolvable,
and when it is not resolvable. This theory has several applications, eg, embeddings and
even problems related to computational complexity. / Intuitivamente, a idéia básica de um Planejamento Combinatório consiste em uma
maneira de selecionar subconjuntos, também chamados de blocos, de um conjunto finito,
de modo que algumas propriedades especificadas sejam satisfeitas. O caso mais geral são
os planejamentos balanceados. Um PBD é um par ordenado (S;B), onde S é um conjunto
finito de símbolos, e B é uma coleção de subconjuntos de S chamados blocos, tais que cada
par de elementos distintos de S ocorrem juntos em exatamente um bloco de B. Um Sistema
Triplo de Steiner é um caso particular de um PBD, em que todos os blocos tem tamanho
único 3, sendo chamados de triplas. O foco principal está nas técnicas de construção dos
sistemas. Por meio da resolubilidade se discute quando um Sistema Triplo de Steiner é
resolvível e quando não é resolvível. Esta teoria possui várias aplicações, por exemplo:
imersões e até mesmo problemas relacionados à complexidade computacional.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.bc.ufg.br:tede/3074 |
| Date | 26 August 2011 |
| Creators | Barbosa, Enio Perez Rodrigues |
| Contributors | Barbosa, Rommel Melgaço |
| Publisher | Universidade Federal de Goiás, Programa de Pós-graduação em Ciência da Computação (INF), UFG, Brasil, Instituto de Informática - INF (RG) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFG, instname:Universidade Federal de Goiás, instacron:UFG |
| Rights | http://creativecommons.org/licenses/by-nc-nd/4.0/, info:eu-repo/semantics/openAccess |
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