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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>-core percolation in four dimensions
The $k$-core percolation on the Bethe lattice has been proposed as a simple model of the jamming transition because of its hybrid first-order--second-order nature. We investigate numerically $k$-core percolation on the four-dimensional regular lattice. For $k=4$, the presence of a discontinuous transition is clearly established but its nature is strictly …