Multi-coloured jigsaw percolation on random graphs

@article{Cooley2017MulticolouredJP,
  title={Multi-coloured jigsaw percolation on random graphs},
  author={Oliver Cooley and Abraham Guti'errez},
  journal={arXiv: Combinatorics},
  year={2017}
}
The jigsaw percolation process, introduced by Brummitt, Chatterjee, Dey and Sivakoff, was inspired by a group of people collectively solving a puzzle. It can also be seen as a measure of whether two graphs on a common vertex set are "jointly connected". In this paper we consider the natural generalisation of this process to an arbitrary number of graphs on the same vertex set. We prove that if these graphs are random, then the jigsaw percolation process exhibits a phase transition in terms of… 
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C O ] 4 D ec 2 01 7 Multi-coloured jigsaw percolation on random graphs
The jigsaw percolation process, introduced by Brummitt, Chatterjee, Dey and Sivakoff, was inspired by a group of people collectively solving a puzzle. It can also be seen as a measure of whether two…
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On random graphs, I
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