The present paper is a survey of up-to-date results in 3-dimensional crystallization theory, in particular along the following directions: - generation and analysis of catalogues of PL-manifolds for increasing values of the vertex number of the representing graphs; - definition and/or computation of invariants for PL-manifolds, directly from the representing graphs. In particular, with regard to invariants, the authors focus on gems considered as an useful tool for computing Matveev complexity.
Computational aspects of crystallization theory: complexity, catalogues and classification of 3-manifolds
MULAZZANI, MICHELE
2011
Abstract
The present paper is a survey of up-to-date results in 3-dimensional crystallization theory, in particular along the following directions: - generation and analysis of catalogues of PL-manifolds for increasing values of the vertex number of the representing graphs; - definition and/or computation of invariants for PL-manifolds, directly from the representing graphs. In particular, with regard to invariants, the authors focus on gems considered as an useful tool for computing Matveev complexity.File in questo prodotto:
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