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Driving innovations in manufacturing: Open Access research from DMEM

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Design, Manufacture & Engineering Management (DMEM).

Centred on the vision of 'Delivering Total Engineering', DMEM is a centre for excellence in the processes, systems and technologies needed to support and enable engineering from concept to remanufacture. From user-centred design to sustainable design, from manufacturing operations to remanufacturing, from advanced materials research to systems engineering.

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Almost-Symmetry in Search

Donaldson, A.F. and Gregory, P. (2005) Almost-Symmetry in Search. [Report]

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Abstract

Identifying and using a greater variety of symmetries often improves computational efficiency. Hence, it is natural to relax the notion of symmetry and deal with almost-symmetries which retain useful properties, occur more often and may have greater impact. In this work we consider a class of almost-symmetries, their representation, discovery and usage. Our approach is to relax the notion of graph symmetries (automorphisms) to account for vertices whose colors may change and whose edges may appear or disappear. In particular, our algorithms can discover a small number edge additions or removals that can make a given graph more symmetric.