Crystallization theory is a representation method for compact PL manifolds by means of a particular class of edge-coloured graphs. The combinatorial nature of this representation allows to elaborate and implement algorithmic procedures for the generation and analysis of catalogues of closed PL n-manifolds. In this paper we discuss the concepts which are involved in these procedures for n = 4 and present classification results arising from the study of the initial segment of the catalogue.
Coloured graphs representing PL 4-manifolds / Casali, Maria Rita; Cristofori, Paola. - In: ELECTRONIC NOTES IN DISCRETE MATHEMATICS. - ISSN 1571-0653. - ELETTRONICO. - 40:(2013), pp. 83-87. [10.1016/j.endm.2013.05.016]
Coloured graphs representing PL 4-manifolds
CASALI, Maria Rita;CRISTOFORI, Paola
2013
Abstract
Crystallization theory is a representation method for compact PL manifolds by means of a particular class of edge-coloured graphs. The combinatorial nature of this representation allows to elaborate and implement algorithmic procedures for the generation and analysis of catalogues of closed PL n-manifolds. In this paper we discuss the concepts which are involved in these procedures for n = 4 and present classification results arising from the study of the initial segment of the catalogue.
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