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arXiv · 2010.08230

Graph Rewriting and Relabeling with PBPO+

Roy Overbeek·Jörg Endrullis·Aloïs Rosset
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Abstract

We extend the powerful Pullback-Pushout (PBPO) approach for graph rewriting with strong matching. Our approach, called \pbpostrong, exerts more control over the embedding of the pattern in the host graph, which is important for a large class of graph rewrite systems. In addition, we show that \pbpostrong is well-suited for rewriting labeled graphs and certain classes of attributed graphs. For this purpose, we employ a lattice structure on the label set and use order-preserving graph morphisms. We argue that our approach is simpler and more general than related relabeling approaches in the literature.

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Roy Overbeek, Jörg Endrullis, Aloïs Rosset. 2020-10-16. Graph Rewriting and Relabeling with PBPO+. https://doi.org/10.1007/978-3-030-78946-6_4

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