Geodesic
A combinatorial formula for of \(\rho\)-removed uniform matroids
Kyungyong Lee1 ; George D. Nasr2 ; Jamie Radcliffe3
1University of Alabama, Tuscaloosa
2Universty of Nebraksa–Lincoln
3University of Nebraska–Lincoln
The electronic journal of combinatorics, Tome 27 (2020) no. 4
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Let $\rho$ be a non-negative integer. A $\rho$-removed uniform matroid is a matroid obtained from a uniform matroid by removing a collection of $\rho$ disjoint bases. We present a combinatorial formula for Kazhdan–Lusztig polynomials of $\rho$-removed uniform matroids, using skew Young Tableaux. Even for uniform matroids, our formula is new, gives manifestly positive integer coefficients, and is more manageable than known formulas.
DOI : 10.37236/9435
Classification : 05B35, 52B40, 05E10
Mots-clés : skew Young tableaux

Kyungyong Lee  1   ; George D. Nasr  2   ; Jamie Radcliffe  3

1 University of Alabama, Tuscaloosa
2 Universty of Nebraksa–Lincoln
3 University of Nebraska–Lincoln 
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     author = {Kyungyong Lee and George D. Nasr and Jamie Radcliffe},
     title = {A combinatorial formula for  of \(\rho\)-removed uniform matroids},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {4},
     doi = {10.37236/9435},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/9435/}
}
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Kyungyong Lee; George D. Nasr; Jamie Radcliffe. A combinatorial formula for  of \(\rho\)-removed uniform matroids. The electronic journal of combinatorics, Tome 27 (2020) no. 4. doi: 10.37236/9435

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