# ALGEBRAIC COMBINATORICS

An involution on RC-graphs and a conjecture on dual Schubert polynomials by Postnikov and Stanley
Algebraic Combinatorics, Volume 3 (2020) no. 3, pp. 593-602.

In this paper, we provide explicit formula for the dual Schubert polynomials of a special class of permutations using certain involution principals on RC-graphs, resolving a conjecture by Postnikov and Stanley.

Revised: 2019-11-29
Accepted: 2019-12-15
Published online: 2020-06-02
DOI: https://doi.org/10.5802/alco.105
Classification: 05E05,  14N15
Keywords: Schubert polynomial, dual Schubert polynomial, Bruhat chains
@article{ALCO_2020__3_3_593_0,
author = {Gao, Yibo},
title = {An involution on RC-graphs and a conjecture on dual Schubert polynomials by Postnikov and Stanley},
journal = {Algebraic Combinatorics},
publisher = {MathOA foundation},
volume = {3},
number = {3},
year = {2020},
pages = {593-602},
doi = {10.5802/alco.105},
language = {en},
url = {alco.centre-mersenne.org/item/ALCO_2020__3_3_593_0/}
}
Gao, Yibo. An involution on RC-graphs and a conjecture on dual Schubert polynomials by Postnikov and Stanley. Algebraic Combinatorics, Volume 3 (2020) no. 3, pp. 593-602. doi : 10.5802/alco.105. https://alco.centre-mersenne.org/item/ALCO_2020__3_3_593_0/

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