A Classification of Long-Refinement Graphs for Colour Refinement

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Authors: Sandra Kiefer, T. Devini de Mel
Cited by: 0

Abstract

The Colour Refinement algorithm is a classical procedure to detect symmetries in graphs, whose most prominent application is in graph-isomorphism tests. The algorithm and its generalisation, the Weisfeiler–Leman algorithm, evaluate local information to compute a colouring for the vertices in an iterative fashion. Different final colours of two vertices certify that no isomorphism can map one onto the other.

Fields of Study & Subjects

Color Science and Applications Color perception and design Categorization perception and language

Publication details

Journal / source
Society for Industrial and Applied Mathematics eBooks
Pages
388–407
Publication date
1 January 2026
Language
EN