 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
vb.net print barcode zebra BINARY TREES in Java
BINARY TREES ECC200 Scanner In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. Painting DataMatrix In Java Using Barcode maker for Java Control to generate, create Data Matrix image in Java applications. [CHAP. 11
Decoding Data Matrix In Java Using Barcode reader for Java Control to read, scan read, scan image in Java applications. Bar Code Maker In Java Using Barcode generation for Java Control to generate, create bar code image in Java applications. Figure 11.40 shows how the forest that produced the specified binary tree was obtained by reversing the natural map. Bar Code Reader In Java Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications. Data Matrix ECC200 Creation In Visual C# Using Barcode generator for .NET Control to generate, create Data Matrix ECC200 image in .NET applications. Figure 11.40 Mapping a forest into a binary tree
Making Data Matrix ECC200 In .NET Using Barcode creation for ASP.NET Control to generate, create Data Matrix image in ASP.NET applications. Data Matrix Generator In VS .NET Using Barcode maker for Visual Studio .NET Control to generate, create ECC200 image in .NET applications. 11.27 11.28 11.29 Encode Data Matrix In VB.NET Using Barcode encoder for VS .NET Control to generate, create ECC200 image in .NET framework applications. Code 128 Code Set C Creation In Java Using Barcode creator for Java Control to generate, create Code 128 image in Java applications. f(h) = h + 1 f(h) = 1 a.
Bar Code Drawer In Java Using Barcode maker for Java Control to generate, create bar code image in Java applications. GS1 128 Drawer In Java Using Barcode printer for Java Control to generate, create EAN128 image in Java applications. public int leaves() { if (this == null) { return 0; } int leftLeaves = (left==null 0 : left.leaves()); int rightLeaves = (right==null 0 : right.leaves()); return leftLeaves + rightLeaves; } public int height() { if (this == null) { return 1; } int leftHeight = (left==null 1 : left.height()); int rightHeight = (right==null 1 : right.height()); return 1 + (leftHeight<rightHeight rightHeight : leftHeight); } public int level(Object object) { if (this == null) { return 1; } else if (object == root) { return 0; } int leftLevel = (left==null 1 : left.level(object)); int rightLevel = (right==null 1 : right.level(object)); if (leftLevel < 0 && rightLevel < 0) { return 1; } return 1 + (leftLevel<rightLevel rightLevel : leftLevel); } public void reflect() { if (this == null) { return; } if (left != null) { left.reflect(); } if (right != null) { right.reflect(); } BinaryTree temp=left; left = right; right = temp; } MSI Plessey Creator In Java Using Barcode printer for Java Control to generate, create MSI Plessey image in Java applications. Scanning EAN13 In C#.NET Using Barcode reader for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications. CHAP. 11] Decode Data Matrix In Java Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications. Code 3/9 Maker In ObjectiveC Using Barcode drawer for iPhone Control to generate, create Code 39 Full ASCII image in iPhone applications. BINARY TREES
ECC200 Creation In ObjectiveC Using Barcode drawer for iPad Control to generate, create Data Matrix 2d barcode image in iPad applications. 1D Barcode Encoder In VS .NET Using Barcode maker for Visual Studio .NET Control to generate, create 1D image in .NET framework applications. public void defoliate() { if (this == null) { return; } else if (left == null && right == null) { root = null; return; } if (left != null && left.left==null && left.right==null) { left = null; } else { left.defoliate(); } if (right != null && right.left==null && right.right==null) right = null; } else { right.defoliate(); } } Read GTIN  12 In VB.NET Using Barcode recognizer for VS .NET Control to read, scan read, scan image in .NET applications. Bar Code Decoder In Java Using Barcode reader for Java Control to read, scan read, scan image in Java applications. Search Trees
Tree structures are used to store data because their organization renders more efficient access to the data. A search tree is a tree that maintains its data in some sorted order. MULTIWAY SEARCH TREES Here is the recursive definition of a multiway search tree: A multiway search tree of order m is either the empty set or a pair (k, S), where the first component is a sequence k = (k1, k2, . . ., kn 1) of n 1 keys and the second component is a sequence S = (S0, S1, S2, . . ., Sn 1) of n multiway search trees of order m, with 2 n m, and s0 k1 s1 . . . kn 1 sn 1 for each si Si. This is similar to the recursive definition of a general tree on page 186. A multiway search tree of order m can be regarded as a tree of order m in which the elements are sequences of keys with the ordering property described above. EXAMPLE 12.1 A FiveWay Search Tree Here is an mway search tree with m = 5. It has three internal nodes of degree 5 (each containing four keys), three internal nodes of degree 4 (each containing three keys), four internal nodes of degree 3 (each containing two keys), and one internal node of degree 2 (containing one key). Figure 12.1 A fiveway search tree
CHAP. 12] SEARCH TREES
The root node has two keys and three children. All four keys in the first child are less than k 1 = 57. All three keys in the second child are between k 1 = 57 and k 2 = 72. Both keys in the third child are greater than k 2 = 72. In fact, all thirteen keys in the first subtree are less than 57, all seven keys in the second subtree are between 57 and 72, and all eight keys in the third subtree are greater than 72. An mway search tree is called a search tree because it serves as a multilevel index for searching large lists. To search for a key value, begin at the root and proceed down the tree until the key is found or a leaf is reached. At each node, perform a binary search for the key. It it is not found in that node, the search will stop between two adjacent key values (with k 0 = and k n = ). In that case, follow the link that is between those two keys to the next node. If we reach a leaf, then we know that the key is not in the tree. For example, to search for key value 66, start at the root of the tree and then follow the middle link (because 57 66 < 72) down to the middle threekey node. Then follow its third link (because 60 66 < 70) down to the bottom fourkey node. Then follow its third link (because 65 66 < 67) down to that leaf node. Then conclude that the key 66 is not in the tree. To insert a key into an mway search tree, first apply the search algorithm. If the search ends at a leaf node, then the two bracketing keys of its parent node locate the correct position for the new key. So insert it in that internal node between those two bracketing keys. If that insertion gives the node m keys (thereby exceeding the limit of m 1 keys per node), then split the node into two nodes after moving its middle key up to its parent node. If that move gives the parent node m keys, repeat the splitting process. This process can iterate all the way back up to the root, if necessary. Splitting the root produces a new root, thereby increasing the height of the tree by one level. EXAMPLE 12.2 Inserting into a FiveWay Tree To insert 66 into the search tree of Example 12.1, first perform the search, as described above. This leads to the leaf node marked with an X in Figure 12.2:

