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.
Paola Bandieri, Maria Rita Casali, Paola Cristofori, Luigi Grasselli, Michele Mulazzani (2011). Computational aspects of crystallization theory: complexity, catalogues and classification of 3-manifolds. ATTI DEL SEMINARIO MATEMATICO E FISICO DEL'UNIVERSITÀ DI MODENA E REGGIO EMILIA, 58, 11-45.
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
