Slides for Linked List
... Recall: Array Representation of Sequences Requires an estimate of the maximum size of the list waste space + always need to track/update “size” insert and delete: have prohibitive overheads when the sequences are sorted (or, if we insist on inserting at a given ...
... Recall: Array Representation of Sequences Requires an estimate of the maximum size of the list waste space + always need to track/update “size” insert and delete: have prohibitive overheads when the sequences are sorted (or, if we insist on inserting at a given ...
Prefix Hash Tree An Indexing Data Structure over
... PHT lookup operation to first locate the leaf node leaf (K). Insertion of a new key can cause this leaf node to split into two children, followed by a redistribution of keys. In most cases, the (B + 1) keys are distributed among the two children such that each of them stores atmost B. However it is ...
... PHT lookup operation to first locate the leaf node leaf (K). Insertion of a new key can cause this leaf node to split into two children, followed by a redistribution of keys. In most cases, the (B + 1) keys are distributed among the two children such that each of them stores atmost B. However it is ...
Linked Lists (Chapter 6)
... • Linked lists are more complex to code and manage than arrays, but they have some distinct advantages. – Dynamic: a linked list can easily grow and shrink in size. • We don’t need to know how many nodes will be in the list. They are created in memory as needed. • In contrast, the size of a C++ arra ...
... • Linked lists are more complex to code and manage than arrays, but they have some distinct advantages. – Dynamic: a linked list can easily grow and shrink in size. • We don’t need to know how many nodes will be in the list. They are created in memory as needed. • In contrast, the size of a C++ arra ...
Minimum Spanning Trees
... Our task is to find the minimum possible cost in laying lines that will connect all the villages. This situation can be modelled by a weighted graph W , in which the weight on each edge is the cost of laying that line. A minimum spanning tree in a graph is a subgraph that is (1) a spanning subgraph ...
... Our task is to find the minimum possible cost in laying lines that will connect all the villages. This situation can be modelled by a weighted graph W , in which the weight on each edge is the cost of laying that line. A minimum spanning tree in a graph is a subgraph that is (1) a spanning subgraph ...
Non-hierarchical Structures: How to Model and
... valid. To enable high performance query analysis in large data repositories, we further introduce an extension of XML pre-post indexing for non-hierarchical structures, which can process both reachability and overlapping relationships. ...
... valid. To enable high performance query analysis in large data repositories, we further introduce an extension of XML pre-post indexing for non-hierarchical structures, which can process both reachability and overlapping relationships. ...
Computing Acute and Non-obtuse Triangulations
... Let pqr be an acute (non-obtuse) triangle in a triangulation and pq be its shortest edge. See Figure 2. Let slab(pq) denote the region between the two lines one going through p, the other q and both orthogonal to line segment pq. Let slice(pq) be the intersection of slab(pq) and the circumcircle of ...
... Let pqr be an acute (non-obtuse) triangle in a triangulation and pq be its shortest edge. See Figure 2. Let slab(pq) denote the region between the two lines one going through p, the other q and both orthogonal to line segment pq. Let slice(pq) be the intersection of slab(pq) and the circumcircle of ...
Review questions for Chapter 8
... 1. The properties of an abstract data type are tightly related to the implementation of that data type. 2. The two general approaches for implementing a container are array-based and linked implementations. 3. The operations on a list differ depending on the implementation strategy used. 4. A stack ...
... 1. The properties of an abstract data type are tightly related to the implementation of that data type. 2. The two general approaches for implementing a container are array-based and linked implementations. 3. The operations on a list differ depending on the implementation strategy used. 4. A stack ...
Document
... Normally, when we talk about the complexity of operations (i.e the number of steps needed to perform that operation) we don’t care about the multiplied or added constants. Therefore, we simply say the insert operation is of order of n or is O(n). ...
... Normally, when we talk about the complexity of operations (i.e the number of steps needed to perform that operation) we don’t care about the multiplied or added constants. Therefore, we simply say the insert operation is of order of n or is O(n). ...
Data structures and algorithms for high
... actual data. In a general kdtree, a cut can be placed anywhere along the split dimension of a block. However, by restricting the cuts to always be placed in the middle of the block (which we do by imposing a halving of the blocks on each refinement) the scheme is simplified significantly. Furthermor ...
... actual data. In a general kdtree, a cut can be placed anywhere along the split dimension of a block. However, by restricting the cuts to always be placed in the middle of the block (which we do by imposing a halving of the blocks on each refinement) the scheme is simplified significantly. Furthermor ...
Quadtree
A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The regions may be square or rectangular, or may have arbitrary shapes. This data structure was named a quadtree by Raphael Finkel and J.L. Bentley in 1974. A similar partitioning is also known as a Q-tree. All forms of quadtrees share some common features: They decompose space into adaptable cells Each cell (or bucket) has a maximum capacity. When maximum capacity is reached, the bucket splits The tree directory follows the spatial decomposition of the quadtree.