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Israel journal of mathematics, 10/2021, Letnik: 245, Številka: 2Journal Article
In 1967, Grünbaum conjectured that any d -dimensional polytope with d + s ≤ 2 d vertices has at least ϕ k ( d + s , d ) = ( d + 1 k + 1 ) + ( d k + 1 ) − ( d + 1 − s k + 1 ) k -faces. We prove this conjecture and also characterize the cases in which equality holds.
