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Cohen–Macaulay Circulant Graphs

✍ Scribed by Vander Meulen, Kevin N.; Van Tuyl, Adam; Watt, Catriona

Book ID
127162215
Publisher
Taylor and Francis Group
Year
2014
Tongue
English
Weight
307 KB
Volume
42
Category
Article
ISSN
0092-7872

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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