Discrete Mathematics, 308 (2008), 2307-2312.

Decompositions of two-dimensional simplicial complexes.

by Masahiro Hachimori


We show that the class of Cohen-Macaulay complexes, that of complexes with constructible subdivisions, and that of complexes with shellable subdivisions differ from each other in every dimension $d \ge 2$. Further, we give a characterization of $2$-dimensional simplicial complexes with shellable subdivisions, and show also that they are constructible.