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arXiv · 1603.07883

Jigsaw percolation on random hypergraphs

Béla Bollobás·Oliver Cooley·Mihyun Kang·Christoph Koch
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Abstract

The jigsaw percolation process on graphs was introduced by Brummitt, Chatterjee, Dey, and Sivakoff as a model of collaborative solutions of puzzles in social networks. Percolation in this process may be viewed as the joint connectedness of two graphs on a common vertex set. Our aim is to extend a result of Bollob\'as, Riordan, Slivken, and Smith concerning this process to hypergraphs for a variety of possible definitions of connectedness. In particular, we determine the asymptotic order of the critical threshold probability for percolation when both hypergraphs are chosen binomially at random.

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Béla Bollobás, Oliver Cooley, Mihyun Kang, Christoph Koch. 2016-03-25. Jigsaw percolation on random hypergraphs. https://arxiv.org/abs/1603.07883

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