✦ LIBER ✦

Steinitz' Theorem Analogue for Two-Dimensional Cohen–Macaulay Complexes

✍ Scribed by Yukihide Takayama; Takayuki Hibi

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 175 KB
Volume: 22
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.1998.0628

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✦ Synopsis

A combinatorial characterization of the 1-skeletons of the Cohen᎐Macaulay complexes of dimension 2 over Z will be given. We also give an example of a graph that cannot be the 1-skeleton of any shellable complex of dimension 2 and an example of a graph that can only be the 1-skeleton of a Cohen᎐Macaulay complex over a field of some particular characteristic.