


C language data structure: data representation and operation of trees and graphs
Apr 04, 2025 am 11:18 AMC language data structure: data representation and operation of trees and graphs
Tree
- It is a hierarchical data structure
- Consisting of nodes, each node contains a data element and a pointer to its child nodes
- A binary tree is a special type of tree, where each node has at most two child nodes.
Data representation
struct TreeNode { int data; struct TreeNode *left; struct TreeNode *right; };
operate
- Create a tree
- Traversal tree (predecision, in-order, and after-order)
- Search Tree
- Insert node
- Delete nodes
picture
- is a data structure of a collection, where elements are vertices, and they are connected together by edges.
- The edge can be either with or without rights
Data representation
Adjacent Matrix:
int adjMatrix[V][V];
Adjacent table:
struct AdjListNode { int dest; struct AdjListNode *next; }; struct AdjList { struct AdjListNode *head; }; struct Graph { int V; struct AdjList *array; };
operate
- Create a graph
- Add edges
- Traversal diagram
- Find the shortest path
Practical case: Binary search tree
A binary search tree is a binary tree whose data elements are stored in order in the tree. This makes search, insert and delete operations very efficient.
// Create a binary search tree struct TreeNode *createBST(int data) { struct TreeNode *root = malloc(sizeof(struct TreeNode)); root->data = data; root->left = root->right = NULL; return root; } // Search for elements int searchBST(struct TreeNode *root, int data) { if (!root) { return 0; } else if (root->data == data) { return 1; } else if (data < root->data) { return searchBST(root->left, data); } else { return searchBST(root->right, data); } } // Insert element in the binary search tree struct TreeNode *insertBST(struct TreeNode *root, int data) { if (!root) { return createBST(data); } else if (data < root->data) { root->left = insertBST(root->left, data); } else if (data > root->data) { root->right = insertBST(root->right, data); } return root; } // Delete the element in the binary search tree struct TreeNode *deleteBST(struct TreeNode *root, int data) { if (!root) { return NULL; } else if (data < root->data) { root->left = deleteBST(root->left, data); } else if (data > root->data) { root->right = deleteBST(root->right, data); } else { // If the node has two child nodes, find the predecessor (rightmost node in the left subtree) or successor (leftmost node in the right subtree) if (root->left && root->right) { int successor = root->right->data; root->data = successor; root->right = deleteBST(root->right, successor); } else if (root->left) { struct TreeNode *temp = root->left; free(root); return temp; } else if (root->right) { struct TreeNode *temp = root->right; free(root); return temp; } else { free(root); return NULL; } } return root; }
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C language data structure: The data representation of the tree and graph is a hierarchical data structure consisting of nodes. Each node contains a data element and a pointer to its child nodes. The binary tree is a special type of tree. Each node has at most two child nodes. The data represents structTreeNode{intdata;structTreeNode*left;structTreeNode*right;}; Operation creates a tree traversal tree (predecision, in-order, and later order) search tree insertion node deletes node graph is a collection of data structures, where elements are vertices, and they can be connected together through edges with right or unrighted data representing neighbors.

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