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Equivalent condition for approximately Cohen–Macaulay complexes

✍ Scribed by Michał Lasoń

Book ID
119222961
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
114 KB
Volume
350
Category
Article
ISSN
1631-073X

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✍ Yukihide Takayama; Takayuki Hibi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 175 KB

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᎐Macau