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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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.