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Cohen–Macaulay chordal graphs

✍ Scribed by Jürgen Herzog; Takayuki Hibi; Xinxian Zheng

Book ID
108167172
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
129 KB
Volume
113
Category
Article
ISSN
0097-3165

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We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal \((x, y)\) of \(P^{*}\) with \(\mu_{p}(x, y) \neq 0\) is doubly Cohen-Macaulay. For example, if \(L=P^{\wedge}\) is a modular lattice, then the Cohen-Macaulay poset \(P\) is superior. We present a formula