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# Questions tagged [traversal]

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33 votes
5 answers
2k views

### How to perform a depth-first preorder traversal of an expression?

Mathematica provides functions that perform a depth-first postorder traversal, or which use such a traversal, including: Scan, ...
• 272k
28 votes
7 answers
2k views

### How to perform a breadth-first traversal of an expression?

Mathematica provides functions that perform a depth-first traversal, or which use such a traversal, including: Scan, Count, <...
• 272k
12 votes
1 answer
453 views

### Position with Except returns first item {0} and last item {}. Why?

Here is a simple list: l={1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0} To get the position of non-zero elements I use ...
• 547
3 votes
1 answer
214 views

### why Level does not sort output according to their levels

Consider this example: Level[a + f[x, y^n], {0, Infinity}] (*{a, x, y, n, y^n, f[x, y^n], a + f[x, y^n]}*) Why the output is sorted in this way. why not ...
14 votes
3 answers
758 views

### Determining all possible traversals of a tree

I have a list: B={423, {{53, {39, 65, 423}}, {66, {67, 81, 423}}, {424, {25, 40, 423}}}}; This list can be visualized as a tree using ...
• 10.2k
4 votes
1 answer
310 views

### Forcing optimal solution for FindShortestTour

I use FindShortestTour as explained here and it works nicely for a small number of cities. However when I try this with as little as 16 cities, the given tour isn't ...
• 141
9 votes
1 answer
452 views

### How to perform a depth-first in-order traversal of an expression?

To complement my earlier questions: How to perform a breadth-first traversal of an expression? How to perform a depth-first preorder traversal of an expression? I would now like to ask: how to ...
• 272k