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hold at least n/2 pointers The number of pointers in a node is called the fanout of the node Let us consider a node containing m pointers For i = 2, 3, , m 1, pointer Pi points to the subtree that contains search-key values less than Ki and greater than or equal to Ki 1 Pointer Pm points to the part of the subtree that contains those key values greater than or equal to Km 1 , and pointer P1 points to the part of the subtree that contains those search-key values less than K1 Unlike other nonleaf nodes, the root node can hold fewer than n/2 pointers; however, it must hold at least two pointers, unless the tree consists of only one node It is always possible to construct a B+ -tree, for any n, that satis es the preceding requirements Figure 128 shows a complete B+ -tree for the account le (n = 3) For simplicity, we have omitted both the pointers to the le itself and the null pointers As an example of a B+ -tree for which the root must have less than n/2 values, Figure 129 shows a B+ -tree for the account le with n = 5 These examples of B+ -trees are all balanced That is, the length of every path from the root to a leaf node is the same This property is a requirement for a B+ -tree Indeed, the B in B+ -tree stands for balanced It is the balance property of B+ -trees that ensures good performance for lookup, insertion, and deletion asp.net ean 13 EAN - 13 ASP . NET Control - EAN - 13 barcode generator with free ...
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19 Apr 2005 ... NET 2005 - 7.40 Kb ... The EAN - 13 barcode is composed of 13 digits, which are made up of the following sections: the first 2 or 3 digits are the ... Let us consider how we process queries on a B+ -tree Suppose that we wish to nd all records with a search-key value of V Figure 1210 presents pseudocode for doing so Intuitively, the procedure works as follows First, we examine the root node, looking for the smallest search-key value greater than V Suppose that we nd that this search-key value is Ki We then follow pointer Pi to another node If we nd no such value, then k Km 1 , where m is the number of pointers in the node In this case we follow Pm to another node In the node we reached above, again we look for the smallest search-key value greater than V, and once again follow the corresponding pointer as above Eventually, we reach a leaf node At the leaf node, if we nd searchkey value Ki equals V , then pointer Pi directs us to the desired record or bucket If the value V is not found in the leaf node, no record with key value V exists Thus, in processing a query, we traverse a path in the tree from the root to some leaf node If there are K search-key values in the le, the path is no longer than log n/2 (K) In practice, only a few nodes need to be accessed, Typically, a node is made to be the same size as a disk block, which is typically 4 kilobytes With a search-key size of 12 bytes, and a disk-pointer size of 8 bytes, n is around 200 Even with a more conservative estimate of 32 bytes for the search-key size, n is around 100 With n = 100, if we have 1 million search-key values in the le, a lookup requires only procedure nd(value V ) set C = root node while C is not a leaf node begin Let Ki = smallest search-key value, if any, greater than V if there is no such value then begin Let m = the number of pointers in the node set C = node pointed to by Pm end else set C = the node pointed to by Pi end if there is a key value Ki in C such that Ki = V then pointer Pi directs us to the desired record or bucket else no record with key value k exists end procedure Figure 1210 Querying a B+ -tree. asp.net ean 13 .NET EAN 13 Generator for C#, ASP . NET , VB.NET | Generating ...
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