A new approach to Macaulay posets
We develop a new approach for establishing the Macaulayness of posets representable as cartesian powers of other posets. This approach is based on a problem of constructing an ideal of maximum rank in a poset. Using the relations between the maximum rank ideal problem and the edge-isoperimetric problem on graphs we demonstrate an application of our approach to specification of all posets with a special Macaulay order. We also present a new general construction for additive Macaulay posets and introduce several new families of Macaulay posets. © 2003 Elsevier Inc. All rights reserved.
Journal of Combinatorial Theory. Series A
Bezrukov, Sergei L.; Piotrowski, Victor P.; and Pfaff, Thomas J., "A new approach to Macaulay posets" (2004). Faculty Articles Indexed in Scopus. 2054.