In the MRSC model, the largest d-dimensional component transitions from Θ(log n) size subcritically to a positive fraction supercritically, with a discontinuous jump from 0 to 1 in vertex proportion for Linial-Meshulam complexes.
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Giants through higher-order paths in random simplicial complexes
In the MRSC model, the largest d-dimensional component transitions from Θ(log n) size subcritically to a positive fraction supercritically, with a discontinuous jump from 0 to 1 in vertex proportion for Linial-Meshulam complexes.