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- W2079700103 abstract "Let P be a finite partial order which does not contain an induced subposet isomorphic with 3+1, and let G be the incomparability graph of P . Gasharov has shown that the chromatic symmetric function X G has nonnegative coefficients when expanded in terms of Schur functions; his proof uses the dual Jacobi–Trudi identity and a sign-reversing involution to interpret these coefficients as numbers of P -tableau. This suggests the possibility of a direct bijective proof of this result, generalizing the Robinson–Schensted correspondence. We provide such an algorithm here under the additional hypothesis that P does not contain an induced subposet isomorphic with { x > a < b < c > y }." @default.
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- W2079700103 date "1997-07-01" @default.
- W2079700103 modified "2023-09-27" @default.
- W2079700103 title "A Robinson–Schensted Algorithm for a Class of Partial Orders" @default.
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- W2079700103 doi "https://doi.org/10.1006/jcta.1997.2769" @default.
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