Geodesic
Constructing maximal pipedreams of double Grothendieck polynomials
The electronic journal of combinatorics, Tome 31 (2024) no. 3
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Pechenik, Speyer and Weigandt defined a statistic rajcode(⋅) on permutations which characterizes the leading monomial in top degree components of double Grothendieck polynomials. Their proof is combinatorial: They showed there exists a unique pipedream of a permutation w with row weight rajcode(w) and column weight rajcode(w-1). They proposed the problem of finding a "direct recipe" for this pipedream. We solve this problem by providing an algorithm that constructs this pipedream via ladder moves.
DOI : 10.37236/12665
Classification : 05E05, 05A05
Mots-clés : double Grothendieck polynomials, statistic on permutations

Chen-An Chou  1   ; Tianyi Yu  1

1 UCSD 
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     author = {Chen-An Chou and Tianyi Yu},
     title = {Constructing maximal pipedreams of double {Grothendieck} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {3},
     doi = {10.37236/12665},
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Chen-An Chou; Tianyi Yu. Constructing maximal pipedreams of double Grothendieck polynomials. The electronic journal of combinatorics, Tome 31 (2024) no. 3. doi: 10.37236/12665

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