在b-树中,您可以将键和数据存储在内部节点和叶节点中,但在b+树中,您必须仅将数据存储在叶节点中。

在b+树中这样做有什么好处吗?

为什么不在所有地方都使用b-树而不是b+树,因为直觉上它们看起来更快?

我的意思是,为什么需要在b+树中复制键(数据)?


当前回答

In a B tree search keys and data are stored in internal or leaf nodes. But in a B+-tree data is stored only in leaf nodes. Full scan of a B+ tree is very easy because all data are found in leaf nodes. Full scan of a B tree requires a full traversal. In a B tree, data may be found in leaf nodes or internal nodes. Deletion of internal nodes is very complicated. In a B+ tree, data is only found in leaf nodes. Deletion of leaf nodes is easy. Insertion in B tree is more complicated than B+ tree. B+ trees store redundant search keys but B tree has no redundant value. In a B+ tree, leaf node data is ordered as a sequential linked list but in a B tree the leaf node cannot be stored using a linked list. Many database systems' implementations prefer the structural simplicity of a B+ tree.

其他回答

**

B-Tree的主要缺点是遍历键的难度 按顺序。B+树保留了的快速随机访问属性 b -树,同时也允许快速顺序访问

** 参考:Data Structures Using C//作者:Aaro M Tenenbaum

http://books.google.co.in/books?id=X0Cd1Pr2W0gC&pg=PA456&lpg=PA456&dq=drawback+of+B-Tree+is+the+difficulty+of+Traversing+the+keys+sequentially&source=bl&ots=pGcPQSEJMS&sig=F9MY7zEXYAMVKl_Sg4W-0LTRor8&hl=en&sa=X&ei=nD5AUbeeH4zwrQe12oCYAQ&ved=0CDsQ6AEwAg#v=onepage&q=drawback%20of%20B-Tree%20is%20the%20difficulty%20of%20Traversing%20the%20keys%20sequentially&f=false

下图有助于显示B+树和B树之间的区别。

B+树的优点:

Because B+ trees don't have data associated with interior nodes, more keys can fit on a page of memory. Therefore, it will require fewer cache misses in order to access data that is on a leaf node. The leaf nodes of B+ trees are linked, so doing a full scan of all objects in a tree requires just one linear pass through all the leaf nodes. A B tree, on the other hand, would require a traversal of every level in the tree. This full-tree traversal will likely involve more cache misses than the linear traversal of B+ leaves.

B树的优点:

因为B树包含每个键的数据,所以经常访问的节点可以位于更靠近根的位置,因此可以更快地访问。


B+树尤其适用于基于块的存储(例如:硬盘)。考虑到这一点,你会得到几个优势,例如(从我的脑海中):

high fanout / low depth: that means you have to get less blocks to get to the data. with data intermingled with the pointers, each read gets less pointers, so you need more seeks to get to the data simple and consistent block storage: an inner node has N pointers, nothing else, a leaf node has data, nothing else. that makes it easy to parse, debug and even reconstruct. high key density means the top nodes are almost certainly on cache, in many cases all inner nodes get quickly cached, so only the data access has to go to disk.

B+树相对于B树的主要优点是,它们允许您通过删除指向数据的指针来打包更多指向其他节点的指针,从而增加扇出并潜在地降低树的深度。

缺点是,当您可能在内部节点中找到匹配时,无法提前退出。但由于这两种数据结构都有巨大的扇出,绝大多数匹配都将在叶节点上,这使得B+树的平均效率更高。

The primary distinction between B-tree and B+tree is that B-tree eliminates the redundant storage of search key values.Since search keys are not repeated in the B-tree,we may not be able to store the index using fewer tree nodes than in corresponding B+tree index.However,since search key that appear in non-leaf nodes appear nowhere else in B-tree,we are forced to include an additional pointer field for each search key in a non-leaf node. Their are space advantages for B-tree, as repetition does not occur and can be used for large indices.