Abstract
Elias, et al. (2016) conjectured that the Kazhdan-Lusztig polynomial of any matroid is log-concave. Inspired by a computer proof of Moll’s log-concavity conjecture given by Kauers and Paule, the authors use a computer algebra system to prove the conjecture for arbitrary uniform matroids.
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This paper was supported by the National Natural Science Foundation of China under Grant Nos. 11901431 and 12171362.
This paper was recommended for publication by Editor CHEN Shaoshi.
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Xie, M.H.Y., Zhang, P.B. The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids. J Syst Sci Complex 36, 117–128 (2023). https://doi.org/10.1007/s11424-022-1296-0
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DOI: https://doi.org/10.1007/s11424-022-1296-0