4. Mathematics
  5. Combinatorics

Satoshi Murai

Mathematics – Combinatorics

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A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

Mathematics – Combinatorics
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Algebraic shifting and graded Betti numbers

Mathematics – Commutative Algebra
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Algebraic shifting of finite graphs

Mathematics – Combinatorics
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Algebraic shifting of strongly edge decomposable spheres

Mathematics – Combinatorics
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Betti numbers of chordal graphs and $f$-vectors of simplicial complexes

Mathematics – Combinatorics
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