2019•Involve a Journal of MathematicsOpen access

On some obstructions of flag vector pairs (f1,f04) of 5-polytopes

Hye Bin Cho, Jin Hong Kim

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Abstract

Communicated by Joshua Cooper)Motivated by the recent work of Sjöberg and Ziegler, who obtained a complete characterization of the pairs ( f 0 , f 03 ) of flag numbers for 4-polytopes, in this paper we give some new results about the possible flag vector pairs ( f 1 , f 04 ) of 5-polytopes.

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Communicated by Joshua Cooper)Motivated by the recent work of Sjöberg and Ziegler, who obtained a complete characterization of the pairs ( f 0 , f 03 ) of flag numbers for 4-polytopes, in this paper we give some new results about the possible flag vector pairs ( f 1 , f 04 ) of 5-polytopes.

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Communicated by Joshua Cooper)Motivated by the recent work of Sjöberg and Ziegler, who obtained a complete characterization of the pairs ( f 0 , f 03 ) of flag numbers for 4-polytopes, in this paper we give some new results about the possible flag vector pairs ( f 1 , f 04 ) of 5-polytopes.

Key concepts: Flag (linear algebra), Polytope, Combinatorics, Mathematics, Characterization (materials science), Pure mathematics, Algebra over a field, Physics

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