Geodesic
Convex-ear decompositions and the flag \(h\)-vector
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We prove a theorem allowing us to find convex-ear decompositions for rank-selected subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then apply this theorem to geometric lattices and face posets of shellable complexes, obtaining new inequalities for their h-vectors. Finally, we use the latter decomposition to give a new interpretation to inequalities satisfied by the flag h-vectors of face posets of Cohen-Macaulay complexes.
DOI : 10.37236/491
Classification : 05E45, 06F30, 52B22
Mots-clés : convex ear decomposition, face poset, Cohen-Macaulay complex 
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     author = {Jay Schweig},
     title = {Convex-ear decompositions and the flag \(h\)-vector},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/491},
     zbl = {1205.05251},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/491/}
}
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Jay Schweig. Convex-ear decompositions and the flag \(h\)-vector. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/491

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