Data Structures and Algorithms（6）
... In preorder sequence with right link representation, rlink is still redundant, so we can replace the pointer rlink with a tag rtag, then it is called “double-tagging preorder sequence representation”. Each node includes data and 2 tags(ltag and rtag), the form of the node is like: ltag info rtag Acc ...
... In preorder sequence with right link representation, rlink is still redundant, so we can replace the pointer rlink with a tag rtag, then it is called “double-tagging preorder sequence representation”. Each node includes data and 2 tags(ltag and rtag), the form of the node is like: ltag info rtag Acc ...
Euler Tour
... - By invariant 1, we know that |Tv | + |Tw | ≤ 2i ⇒ |Tv | ≤ 2i−1 (This means we can afford to push all the edges of Tv down to level i − 1). - for each edge e0 = (x, y) with x in Tv and level(e0 ) = i - if y is in Tw : add (x, y) to Fi , Fi+1 , . . . , Flg n and stop. - else set level(e0 ) to i − 1. ...
... - By invariant 1, we know that |Tv | + |Tw | ≤ 2i ⇒ |Tv | ≤ 2i−1 (This means we can afford to push all the edges of Tv down to level i − 1). - for each edge e0 = (x, y) with x in Tv and level(e0 ) = i - if y is in Tw : add (x, y) to Fi , Fi+1 , . . . , Flg n and stop. - else set level(e0 ) to i − 1. ...
PRACTICAL: 4(B)
... KNOWLEDGE REQUIRED: Binary Tree THEORY/LOGIC: Definition: A binary search tree is a binary tree. It may be empty. If it is not empty then it satisfies the following properties: (1) The root element has a key. (2) The keys (if any) in the left subtree are smaller than the key in the root. (3) The key ...
... KNOWLEDGE REQUIRED: Binary Tree THEORY/LOGIC: Definition: A binary search tree is a binary tree. It may be empty. If it is not empty then it satisfies the following properties: (1) The root element has a key. (2) The keys (if any) in the left subtree are smaller than the key in the root. (3) The key ...
Binary Trees
... { if (locptr == 0) root = new BSTNode (item); else if (item < locptr->data) InsertAux (locptr->left, item); else if (item > locptr->data) InsertAux (locptr->right, item); else cerr << "Item already in tree\n"; ...
... { if (locptr == 0) root = new BSTNode (item); else if (item < locptr->data) InsertAux (locptr->left, item); else if (item > locptr->data) InsertAux (locptr->right, item); else cerr << "Item already in tree\n"; ...
DRAFT: Succinct and I/O Efficient Data Structures for Traversal in
... path of length K in T can be traversed in O(K/τ B) I/Os, where 0 < τ < 1 is a constant. Their data structure involves cutting T into layers of height τ B, where τ is a constant (0 < τ < 1). A forest of subtrees is created within each layer, and the subtrees are stored in blocks. If a subtree needs t ...
... path of length K in T can be traversed in O(K/τ B) I/Os, where 0 < τ < 1 is a constant. Their data structure involves cutting T into layers of height τ B, where τ is a constant (0 < τ < 1). A forest of subtrees is created within each layer, and the subtrees are stored in blocks. If a subtree needs t ...
2013S
... a) Define complexity. Explain Big(O) notation with an example. b) Suppose LIST is a header (circular) list in memory. Write an algorithm which deletes the last node from LIST. (8M+8M) ...
... a) Define complexity. Explain Big(O) notation with an example. b) Suppose LIST is a header (circular) list in memory. Write an algorithm which deletes the last node from LIST. (8M+8M) ...
Persistent Data Structures 2.1 Introduction and motivation
... getting O(log m) access time and O(1) modification space and time. Here’s how they did it, in the special case of trees. In each node, we store one modification box. This box can hold one modification to the node—either a modification to one of the pointers, or to the node’s key, or to some other pi ...
... getting O(log m) access time and O(1) modification space and time. Here’s how they did it, in the special case of trees. In each node, we store one modification box. This box can hold one modification to the node—either a modification to one of the pointers, or to the node’s key, or to some other pi ...
Interactive Dynamic Volume Trees on the GPU
... used to accelerate the access to spatial data, whereas other applications use a hierarchical volumetric data structure to implicitly represent 3D objects. We introduce Dynamic Volume Trees (DVT), i.e. an adaptive hierarchical volume data structure which can be modified in real-time. The online capab ...
... used to accelerate the access to spatial data, whereas other applications use a hierarchical volumetric data structure to implicitly represent 3D objects. We introduce Dynamic Volume Trees (DVT), i.e. an adaptive hierarchical volume data structure which can be modified in real-time. The online capab ...
BFS Spanning Tree
... Leader selection: To select a new leader, note that there is a unique edge e that is the common MWOE of two of the level k components in the group. Let the new leader be the endpoint of e having the larger UID. Note the leader election is efficient, because the leader can identify himself by asking ...
... Leader selection: To select a new leader, note that there is a unique edge e that is the common MWOE of two of the level k components in the group. Let the new leader be the endpoint of e having the larger UID. Note the leader election is efficient, because the leader can identify himself by asking ...
CS2006Ch04A
... Simple Fast, easy to perform search but Difficult to insert and delete items Must specify size at construction time ...
... Simple Fast, easy to perform search but Difficult to insert and delete items Must specify size at construction time ...
B-tree
In computer science, a B-tree is a tree data structure that keeps data sorted and allows searches, sequential access, insertions, and deletions in logarithmic time. The B-tree is a generalization of a binary search tree in that a node can have more than two children (Comer 1979, p. 123). Unlike self-balancing binary search trees, the B-tree is optimized for systems that read and write large blocks of data. B-trees are a good example of a data structure for external memory. It is commonly used in databases and filesystems.