Graphs and Combinatorics 37 (2021), 1891-1904.
Sequential partitions of nonpure simplicial complexes
by Masahiro Hachimori
Abstract
In this paper, we introduce four kinds of strengthenings of partitionability of simplicial
complexes, all of which are satisfied by the partitioning induced by shellability. We show the relations
of these different strengthenings of partitionability.