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2 - Analytic representations of large graphs

Published online by Cambridge University Press:  17 June 2019

Allan Lo
Affiliation:
University of Birmingham
Richard Mycroft
Affiliation:
University of Birmingham
Guillem Perarnau
Affiliation:
Universitat Politècnica de Catalunya, Barcelona
Andrew Treglown
Affiliation:
University of Birmingham
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Summary

The recently emerged theory of graph limits provides analytic tools to represent and analyse large graphs, which appear in various scenarios in mathematics and computer science. We survey basic concepts concerning dense graph limits and then focus on recent results on finitely forcible graph limits. We conclude with presenting some of the existing notions concerning sparse graph limits and discussing their mutual relation.

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Publisher: Cambridge University Press
Print publication year: 2019

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