Grafos em superfícies
Grafos em superfícies
O objetivo principal deste trabalho é obter um resultado sobre separação de superficies por grafos. A Homologia Relativa é a principal ferramenta usada, obtendo uma versão particular da Dualidade de Lefschetz. Para a elaboração desta dissertação foram estudados: grafos, homologia simplicial, homologia relativa e grafos em superficies. O estudo foi baseado em grande parte no livro Graphs, Surfaces and Homology de P. J. Giblin
The main goal of this work is to get a result on separation of surfaces by graphs. The Relative Homology is the principal tool used and we get a particular version of Lefschetz duality. For the preparation of this dissertation we studied: graphs, simplicial homology, relative homology and graphs on surfaces. The study was based on the book Graphs, Surfaces and Homology of P. J. Giblin
Pós-graduação em Matemática Universitária - IGCE
Graph theory, Teoria dos grafos, Matemática, Superfícies (Matemática)
Graph theory, Teoria dos grafos, Matemática, Superfícies (Matemática)
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