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math.CO2001
A combinatorial study of multiplexes and ordinary polytopes
Margaret M. Bayer, Aaron M. Bruening, Joshua Stewart
Bisztriczky defines a multiplex as a generalization of a simplex, and an ordinary polytope as a generalization of a cyclic polytope. This paper presents results concerning the comb…
math.CO2001
Generalizations of Eulerian partially ordered sets, flag numbers, and the Mobius function
Margaret M. Bayer, Gabor Hetyei
A partially ordered set is r-thick if every nonempty open interval contains at least r elements. This paper studies the flag vectors of graded, r-thick posets and shows the smalles…