Finding Subgraphs With Side Constraints

Akgün, Ö., Enright, J. , Jefferson, C., McCreesh, C. , Prosser, P. and Zschaler, S. (2021) Finding Subgraphs With Side Constraints. In: 18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research (CPAOIR 2021), Vienna, Austria, 5-8 July 2021, pp. 348-364. ISBN 9783030782290 (doi: 10.1007/978-3-030-78230-6_22)

Abstract

The subgraph isomorphism problem is to find a small “pattern” graph inside a larger “target” graph. There are excellent dedicated solvers for this problem, but they require substantial programming effort to handle the complex side constraints that often occur in practical applications of the problem; however, general purpose constraint solvers struggle on more difficult graph instances. We show how to combine the state of the art Glasgow Subgraph Solver with the Minion constraint programming solver to get a “subgraphs modulo theories” solver that is both performant and flexible. We also show how such an approach can be driven by the Essence high level modelling language, giving ease of modelling and prototyping to non-expert users. We give practical examples involving temporal graphs, typed graphs from software engineering, and costed subgraph isomorphism problems.

• Item Type: Conference Proceedings
• Additional Information: This research was supported by the Engineering and Physical Sciences Research Council [grant number EP/P026842/1]
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Mccreesh, Dr Ciaran and Enright, Dr Jessica and Prosser, Dr Patrick
• Authors: Akgün, Ö., Enright, J., Jefferson, C., McCreesh, C., Prosser, P., and Zschaler, S.
• College/School: College of Science and Engineering > School of Computing Science
• ISSN: 0302-9743
• ISBN: 9783030782290
• Published Online: 17 June 2021
• Copyright Holders: Copyright © 2021 Springer Nature Switzerland AG
• First Published: First published in Lecture Notes in Computer Science 12735: 348-364
• Publisher Policy: Reproduced in accordance with the publisher copyright policy

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
300525		Modelling and Optimisation with Graphs	Patrick Prosser	Engineering and Physical Sciences Research Council (EPSRC)	EP/P026842/1	Computing Science