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Practical Bigraphs via Subgraph Isomorphism

Authors Blair Archibald , Kyle Burns , Ciaran McCreesh , Michele Sevegnani

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Author Details

Blair Archibald
  • School of Computing Science, University of Glasgow, UK
Kyle Burns
  • School of Computing Science, University of Glasgow, UK
Ciaran McCreesh
  • School of Computing Science, University of Glasgow, UK
Michele Sevegnani
  • School of Computing Science, University of Glasgow, UK

Funding

  • Archibald, Blair: supported by the EPSRC under grant S4: Science of Sensor Systems Software (EP/N007565/1).
  • Burns, Kyle: supported by the EPSRC under a Doctoral Training Partnership (EP/R513222/1).
  • McCreesh, Ciaran: supported by the EPSRC under grant Modelling and Optimisation with Graphs (EP/P026842/1).
  • Sevegnani, Michele: supported by the EPSRC under PETRAS SRF grant MAGIC (EP/S035362/1).

Cite AsGet BibTex

Blair Archibald, Kyle Burns, Ciaran McCreesh, and Michele Sevegnani. Practical Bigraphs via Subgraph Isomorphism. In 27th International Conference on Principles and Practice of Constraint Programming (CP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 210, pp. 15:1-15:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/LIPIcs.CP.2021.15

Abstract

Bigraphs simultaneously model the spatial and non-spatial relationships between entities, and have been used for systems modelling in areas including biology, networking, and sensors. Temporal evolution can be modelled through a rewriting system, driven by a matching algorithm that identifies instances of bigraphs to be rewritten. The previous state-of-the-art matching algorithm for bigraphs with sharing is based on Boolean satisfiability (SAT), and suffers from a large encoding that limits scalability and makes it hard to support extensions. This work instead adapts a subgraph isomorphism solver that is based upon constraint programming to solve the bigraph matching problem. This approach continues to support bigraphs with sharing, is more open to other extensions and side constraints, and improves performance by over two orders of magnitude on a range of problem instances drawn from real-world mixed-reality, protocol, and conference models.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Graph algorithms
  • Theory of computation → Models of computation
Keywords
  • bigraphs
  • subgraph isomorphism
  • constraint programming
  • rewriting systems

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Supplementary Materials

References

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