Partition into heapable sequences, heap tableaux and a multiset extension of Hammersley’s process
We investigate partitioning of integer sequences into heapable subsequences (previously defined and studied by Byers et al. We show that an extension of patience sorting computes the decomposition into a minimal number of heapable subsequences (MHS). We connect this parameter to an interactive particle system, a multiset extension of Hammersley’s process, and investigate its expected value on a random permutation. In contrast with the (well studied)
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