Ontology Hierarchy Self Generation using Algebraic Multi-Grid (AMG)

Abstract

In Computer Science an ontology is a standardized representation of knowledge as a set of concepts within a domain, and the relationships between those concepts. This can be described as a graph or a network. In this paper we claim that the topology itself of the ontology contains significant semantics. Then we discuss the possibility of revealing a hierarchy of element-class from the network itself of an abstract ontology. We will use the Algebraic-Multi-Grid (AMG) concepts and tools for the Laplace equation defined on this network.