On Meyniel's conjecture and the Zig-Zag Theorem : Cops and robbers on random graphs

This essay will present the vertex pursuit game of cops and robbers and the problem that made it famous: Meinyel's conjecture. The conjecture stood unproved from 1987 until 2010 when Łuczak and Prałat proved the conjecture with their "Zig-Zag Theorem", which is also covered in the ess...

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Bibliographic Details
Main Author: Nygren, Clara
Format: Others
Language:English
Published: Umeå universitet, Institutionen för matematik och matematisk statistik 2020
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-175951