I'm not sure what this is called or if it belongs here

[GavinRay97]

Hey, I apologize in advance if this is misplaced. I don't have any maths education or know anything of algorithms.

I've been working on something that I believe I misconstrued from a problem I saw asked that dealt with binary trees. I don't know if this is a valid algorithm or not:

// Find all subtrees of n-ary tree. For example:
//
//          1
//        /   \
//       /     \
//      2       3
//     / \     /|\
//    4   6   5 7 8
//       / \
//      9  10
       
// I want to show all subtrees:

// 1    1   1       1       1        1         1
//     /     \     / \     / \      / \         \
//    2       3   2   3   2   3    2   3         3
//                        |        |  /         /
//                        4        4 5         5

I think essentially what I'm trying to communicate here is any valid branching path/"state" from the tree starting at the root node. I first tried order-specific (all permutations of each "level" were valid) but this was far too difficult and I've since retreated to trying to figure out order-inspecific. I could be way off, but this appears to work:

https://repl.it/@GavinRay97/VivaciousWarmheartedComputers-1

Console Output of Trees - CLICK TO EXPAND

var exampleTree = {
  a: {
    b: {
      d: null,
      e: {
        f: null,
        g: {
          i: {
            l: null,
            m: null,
            n: null,
          },
          k: null,
        },
        h: null
      }
    },
    c: null,
    o: null
  },
}

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"a -> b -> e -> f-g -> i-k -> l"
"a -> b -> e -> f-g -> i-k -> l-m"
"a -> b -> e -> f-g -> i-k -> l-m-n"
"a -> b -> e -> f-g -> i-k -> m"
"a -> b -> e -> f-g -> i-k -> m-n"
"a -> b -> e -> f-g -> i-k -> n"
"a -> b -> e -> f-g -> i -> l"
"a -> b -> e -> f-g -> i -> l-m"
"a -> b -> e -> f-g -> i -> l-m-n"
"a -> b -> e -> f-g -> i -> m"
"a -> b -> e -> f-g -> i -> m-n"
"a -> b -> e -> f-g -> i -> n"
"a -> b -> e -> f-g -> k"
"a -> b -> e -> g"
"a -> b -> e -> g-h"
"a -> b -> e -> g-h -> i"
"a -> b -> e -> g-h -> i-k"
"a -> b -> e -> g-h -> i-k -> l"
"a -> b -> e -> g-h -> i-k -> l-m"
"a -> b -> e -> g-h -> i-k -> l-m-n"
"a -> b -> e -> g-h -> i-k -> m"
"a -> b -> e -> g-h -> i-k -> m-n"
"a -> b -> e -> g-h -> i-k -> n"
"a -> b -> e -> g-h -> i -> l"
"a -> b -> e -> g-h -> i -> l-m"
"a -> b -> e -> g-h -> i -> l-m-n"
"a -> b -> e -> g-h -> i -> m"
"a -> b -> e -> g-h -> i -> m-n"
"a -> b -> e -> g-h -> i -> n"
"a -> b -> e -> g-h -> k"
"a -> b -> e -> g -> i"
"a -> b -> e -> g -> i-k"
"a -> b -> e -> g -> i-k -> l"
"a -> b -> e -> g -> i-k -> l-m"
"a -> b -> e -> g -> i-k -> l-m-n"
"a -> b -> e -> g -> i-k -> m"
"a -> b -> e -> g -> i-k -> m-n"
"a -> b -> e -> g -> i-k -> n"
"a -> b -> e -> g -> i -> l"
"a -> b -> e -> g -> i -> l-m"
"a -> b -> e -> g -> i -> l-m-n"
"a -> b -> e -> g -> i -> m"
"a -> b -> e -> g -> i -> m-n"
"a -> b -> e -> g -> i -> n"
"a -> b -> e -> g -> k"
"a -> b -> e -> h"
"a -> c"
"a -> c-o"
"a -> o"
Results (plus head node):  412

Could anyone tell me whether the problem I'm describing is a real/existing algorithm, and how bad/far off my solution is so far? It's probably O(n^10) or something ridiculous too.

Thank you!

[trekhleb]

@GavinRay97 unfortunately I have to close this issue request because it is not related to current repository. I think you might try to use Q&A web-sites like https://stackoverflow.com/ and https://www.quora.com/ to find the answer.