Abstract
In this paper we study some topological aspects related to the important operations of searching and classification over the Web. Classification is dictated by some criteria, and these criteria can be defined as a classification operator. An interesting problem is to prove the existence of a stable classification with respect to a certain operator. In this context we provide a topological approach to describe the structure of the web based on the trips given by the links of the web documents, and present various topologies defined over the Web. Some results regarding the topological properties as connectivity, density and separation are presented. The Alexandrov topology plays a particular role, and we have a certain equivalence between this topology and the classification process.
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Ciobanu, G., Rusu, D. (2006). A Topological Approach of the Web Classification. In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds) Theoretical Aspects of Computing - ICTAC 2006. ICTAC 2006. Lecture Notes in Computer Science, vol 4281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11921240_6
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DOI: https://doi.org/10.1007/11921240_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-48815-6
Online ISBN: 978-3-540-48816-3
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