edit this map or download as text // json
Identifier
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
Images
=>
Cc0010;cc-rep-0Cc0010;cc-rep-1
.=>. 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[[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.],.]=>[.,[.,[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]]] [[[[[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.],.],.],.],.]=>[.,[.,[.,[.,[.,[[[[[.,[[.,.],.]],.],.],.],.]]]]]] [[[[[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.],.],.],.],.]=>[.,[.,[.,[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]]]]] [[[[[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.],.],.],.],.]=>[.,[.,[.,[.,[.,[[[.,[[[[.,.],.],.],.]],.],.]]]]]] [[[[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.],.],.],.]=>[.,[.,[.,[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]]]] [[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.],.]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the left-right symmetrized tree of a binary tree.
Properties
bijective, graded, involutive
Sage code
def mapping(elt):
    return elt.left_right_symmetry()
Weight
11
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey