Combinatorial rigidity of 3-dimensional simplicial polytopes
classification
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simplicialcombinatorialpolytopesrigidcombinatoriallydimensionalreduciblealgebra
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A simplicial polytope is combinatorially rigid if its combinatorial structure is determined by its graded Betti numbers which are important invariant coming from combinatorial commutative algebra. We find a necessary condition to be combinatorially rigid for 3-dimensional reducible simplicial polytopes and provide some rigid reducible simplicial polytopes.
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