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Title: Teoria Espectral e o Problema de Isomorfismo de Grafos Regulares
Authors: Rodrigues, Diego Barcelos
Keywords: Isomorfismo;Espectro;Autocentralidade;Isomorphism;Spectro;Eigencentrality
Issue Date: 29-Aug-2011
Publisher: Universidade Federal do Espírito Santo
Citation: RODRIGUES, Diego Barcelos. Teoria Espectral e o Problema de Isomorfismo de Grafos Regulares. 2011. 84 f. Dissertação (Mestrado em Ciência da Computação) - Universidade Federal do Espírito Santo, Vitória, 2011.
Abstract: Spectral Graph Theory (SGT) studies graph properties by graph representation matrix and its spectrum. A property from SGT, the eigencentrality, provides an important invariant to Graph Isomorphism Problem: if two graphs are isomorphic, they have proportional eigencentralities. However, this property can not be directly used for solving the Regular Graph Isomorphism Problem (RGIP), as every regular graph has the same eigencentralities. This work presents a strategy for solving the RGIP through the use of eigencentralities to prune the search tree and restricting the possibilities for mapping
Appears in Collections:PPGI - Dissertações de mestrado

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