N-ary trees in C

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青春惊慌失措
青春惊慌失措 2020-12-13 02:39

Which would be a neat implemenation of a N-ary tree in C language?

Particulary, I want to implement an n-ary tree, not self-ballancing, with an unbound number of chi

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  • 2020-12-13 03:17

    As a first pass, you could simply create a struct (let's call it TreeNode) which holds a task, as well as a set of pointers to TreeNodes. This set could either be an array (if N is fixed) or a linked list (if N is variable). The linked list would require you to declare an additional struct (let's called it ListNode) with a TreeNode pointer to the actual child (part of the tree), and a pointer to the next ListNode in the list (null if at the end of the list).

    It might look something like this:

    struct task {
      char command[MAX_LENGTH];
      int required_time;
    };
    
    struct TreeNode;
    
    struct ListNode {
      struct TreeNode * child;
      struct ListNode * next;
    };
    
    struct TreeNode {
      struct task myTask;
      struct ListNode myChildList;
    };
    
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  • 2020-12-13 03:24

    Any n-ary tree can be represented as a binary tree where in each node the left pointer points to the first child and the right pointer points to the next brother.

                 R                        R
               / | \                      |
              B  C  D                     B -- C -- D
             / \    |                     |         |
            E   F   G                     E -- F    G
    

    So, your case would be:

    struct task {
      char command[MAX_LENGTH];
      int required_time;
    };
    
    struct node {
      struct task taskinfo;
      struct node *firstchild;
      struct node *nextsibling;
    };
    

    This technique has the advantage that many algorithms are simpler to write as they can be expressed on a binary tree rather than on a more complicated data structure.

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