is an option for Tree and related functions that specifies a function to use to generate sizes for subtree elements.


  • TreeElementSizeFunction allows specifying the function to generate the size of the root node of a tree, as well as that of any subtree at positions matching a pattern.
  • The following settings can be used:
  • Automaticuse the automatic setting for the size function
    funca general subtree element size function
    {pos1func1,pos2func2,}use subtree element size function funci at position posi
    {patt1func1,patt2func2,}use funci at positions matching the pattern patti
  • TreeElementSizeFunction specifications override TreeElementSize specifications.
  • TreeElementSizeFunctionfunc specifies that the size of the root node should be provided by func[data], where data is the data in the root.
  • In TreeElementSizeFunction, Allfunc uses func for all subtrees.
  • In TreeElementSizeFunction, TreeCases[pattern]func uses func for all subtrees with data matching pattern.


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Basic Examples  (4)

Specify an individual subtree element size:

Specify all subtree element sizes:

Use the same size function for all subtree elements:

Specify positions using position patterns:

Specify positions using data patterns:

Properties & Relations  (4)

Sizes for subtree elements can be specified by position:

Sizes specified by a subtree take precedence over sizes specified by its ancestors:

A position {i,j,} in a subtree refers to its subtree at relative position {i,j,}:

A relative position {2} at position {1} refers to the global position {1,2}:

In general, a pattern patt applies to subtrees at global positions {i,j,} that match patt:

A list of patterns {patt1,patt2,} applies to relative positions {i,j,} that match patti:

Wolfram Research (2022), TreeElementSizeFunction, Wolfram Language function,


Wolfram Research (2022), TreeElementSizeFunction, Wolfram Language function,


Wolfram Language. 2022. "TreeElementSizeFunction." Wolfram Language & System Documentation Center. Wolfram Research.


Wolfram Language. (2022). TreeElementSizeFunction. Wolfram Language & System Documentation Center. Retrieved from


@misc{reference.wolfram_2024_treeelementsizefunction, author="Wolfram Research", title="{TreeElementSizeFunction}", year="2022", howpublished="\url{}", note=[Accessed: 29-May-2024 ]}


@online{reference.wolfram_2024_treeelementsizefunction, organization={Wolfram Research}, title={TreeElementSizeFunction}, year={2022}, url={}, note=[Accessed: 29-May-2024 ]}