Enumerative combinatorics
Hermite normal forms and δ-vectors
Journal of Combinatorial Theory Series A
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Let P@?R^d be an integral convex polytope of dimension d and @d(P)=(@d"0,@d"1,...,@d"d) be its @d-vector. By using the known inequalities on @d-vectors, we classify the possible @d-vectors of convex polytopes of dimension d with @?"i"="0^d@d"i@?3.