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Physical review. E
Hyperbolic lattices interpolate between finite-dimensional lattices and Bethe lattices and are interesting in their own right with ordinary percolation exhibiting not one, but two, phase transitions. We study four constraint percolation models---k-core percolation (for k=1,2,3) and force-balance percolation---on several tessellations of the hyperbolic plane. By comparing these four different models, our numerical data suggests that all of the k-core models, even for k=3, exhibit behaviordoi:10.1103/physreve.96.052108 pmid:29347694 fatcat:i5wspr5t2vehzd5mgviiwztn6q