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Graph attribution through sub-graphs

Abstract

We offer an alternative to the standard formalisation of attributed graphs. We propose to represent an attributed graph as a graph with a marked sub-graph, in which the sub-graph represents the data domain, rather than as a tuple of graph and algebra. This is a general construction which can be shown to preserve adhesiveness of categories; it has the advantage of uniformity and gives more flexibility in defining data abstractions. We show equivalence of our formalisation with the standard one, under a suitable encoding of algebras as graphs

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