edit this map or download as text // json
Identifier
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Description
The word obtained by sorting the weakly increasing runs lexicographically.
References
[1] Alexandersson, P., Nabawanda, O. Peaks are preserved under run-sorting arXiv:2104.04220
Properties
idempotent, graded
Sage code
def mapping(w):
    runs = []
    last = None
    run = []
    for l in w:
        if last is not None and last > l:
            runs.append(run)
            run = []
        run.append(l)
        last = l
    runs.append(run)
    runs.sort()
    return Words([0,1], len(w))([l for run in runs for l in run])
Weight
40
Created
Apr 12, 2021 at 17:42 by Martin Rubey
Updated
Apr 12, 2021 at 17:42 by Martin Rubey