Data Structures (810:052) Lecture 26 Name:_________________
... c) A path is a sequence of vertices that are connected by edges. In the graph G above, list two different pathes from v0 to v3. d) A cycle in a directed graph is a path that starts and ends at the same vertex. Find a cycle in the above graph. 3. Like most data structures, a graph can be represented ...
... c) A path is a sequence of vertices that are connected by edges. In the graph G above, list two different pathes from v0 to v3. d) A cycle in a directed graph is a path that starts and ends at the same vertex. Find a cycle in the above graph. 3. Like most data structures, a graph can be represented ...
Persistent Binary Search Trees
... Naive persistence Examples are making a copy of the whole tree after each update, or storing a history of update operations while only retaining the last version of the tree. In general these methods either waste space (first example), or have slow access time to older versions (second example). Par ...
... Naive persistence Examples are making a copy of the whole tree after each update, or storing a history of update operations while only retaining the last version of the tree. In general these methods either waste space (first example), or have slow access time to older versions (second example). Par ...
Algorithms and data structures—topic summary
... container, etc.) Usually, however, we want to store more than just data: we also want to store relationships between the items. In this case, we may also want to either make queries or perform operations based on those relationships. In general, we do not need to perform all possible operations in a ...
... container, etc.) Usually, however, we want to store more than just data: we also want to store relationships between the items. In this case, we may also want to either make queries or perform operations based on those relationships. In general, we do not need to perform all possible operations in a ...
Amortized Analysis Master MOSIG
... Binary search of a sorted array takes logarithmic search time, but the time to insert a new element is linear in the size of the array. We can improve the time for insertion by keeping several sorted arrays. Speci cally, suppose that we wish to support search and insert on a set of n elements. Let k ...
... Binary search of a sorted array takes logarithmic search time, but the time to insert a new element is linear in the size of the array. We can improve the time for insertion by keeping several sorted arrays. Speci cally, suppose that we wish to support search and insert on a set of n elements. Let k ...
Linked list
In computer science, a linked list is a data structure consisting of a group of nodes which together represent a sequence. Under the simplest form, each node is composed of data and a reference (in other words, a link) to the next node in the sequence; more complex variants add additional links. This structure allows for efficient insertion or removal of elements from any position in the sequence.Linked lists are among the simplest and most common data structures. They can be used to implement several other common abstract data types, including lists (the abstract data type), stacks, queues, associative arrays, and S-expressions, though it is not uncommon to implement the other data structures directly without using a list as the basis of implementation.The principal benefit of a linked list over a conventional array is that the list elements can easily be inserted or removed without reallocation or reorganization of the entire structure because the data items need not be stored contiguously in memory or on disk, while an array has to be declared in the source code, before compiling and running the program. Linked lists allow insertion and removal of nodes at any point in the list, and can do so with a constant number of operations if the link previous to the link being added or removed is maintained during list traversal.On the other hand, simple linked lists by themselves do not allow random access to the data, or any form of efficient indexing. Thus, many basic operations — such as obtaining the last node of the list (assuming that the last node is not maintained as separate node reference in the list structure), or finding a node that contains a given datum, or locating the place where a new node should be inserted — may require sequential scanning of most or all of the list elements. The advantages and disadvantages of using linked lists are given below.