Found 210 Articles for Analysis of Algorithms

Meldable Priority QueuesDefinitionA randomized meldable heap (also Meldable Heap or Randomized Meldable Priority Queue) is defined as a priority queue based data structure in which the underlying structure is also a heap-ordered binary tree. However, there are no hard and fast rules on the shape of the underlying binary tree.AdvantagesThis approach has a number of facilities i.e. advantages over similar data structures.It offers simpler approach than other data structures.All operations for the randomized meldable heap are easy to apply and the constant factors in their complexity bounds are small.There is also no requirement to preserve balance conditions and no satellite ... Read More

Spanning TreeOne simple definition is that a tree is a connected graph associated with no cycles, where a cycle let's us go from a node to itself without repeating an edge.A spanning tree for a connected graph G is defined as a tree containing all the vertices of G.Spanning trees are often implemented for Internet routing Algorithms. In the Internet, computers (nodes) are often connected with many redundant physical connections.Total number of Spanning Trees in a Graph. If a graph is a complete graph with n no. of vertices, then total number of spanning trees is n(n-2)where n is denoted ... Read More

An m-ary tree in computer science is defined as a collection of nodes normally represented hierarchically in the following manner.The tree is started at the root node.Each node of the tree maintains a list of pointers to its child nodes.The number of child nodes is less than or equal to m.A typical representation of m-ary tree implements an array of m references (or pointers) to store children (Note that m is an upper bound on number of children).An m-way search treea. is empty orb. consists of a root containing b (1

According to computational complexity theory, the potential method is defined as a method implemented to analyze the amortized time and space complexity of a data structure, a measure of its performance over sequences of operations that eliminates the cost of infrequent but expensive operations.In the potential method, a function Φ is selected that converts states of the data structure to non-negative numbers. If S is treated as state of the data structure, Φ(S) denotes work that has been accounted in the amortized analysis but not yet performed. Thus, Φ(S) may be imagined as calculating the amount of potential energy stored ... Read More

Left-Child Right-Sibling Representation is a different representation of an n-ary tree where instead of maintaining a pointer to each and every child node, a node holds just two pointers, first a pointer to its first child, and the other pointer to its immediate next sibling. This new transformation not only eliminates the need of prior knowledge of the number of children a node has, but also restricts the number of pointers to a maximum of two, so making it so much simpler to code.At each node, link or connect children of same parent from left to right.Parent should be linked ... Read More

The randomized meldable heap(also called as Meldable Priority Queue) supports a number of common operations. These are known as insertion, deletion, and a searching operation, findMin. The insertion and deletion operations are implemented in terms of an additional operation specific to the meldable heap, Meld(A1, A2).MeldThe basic target of the meld (also called as merge) operation is to take two heaps (by taking each heaps root nodes), A1 and A2, and merges them, returning a single heap node as a result. This heap node is the root node of a heap containing all elements from the two subtrees rooted at ... Read More

What is Assembly Tolerance Stack up Analysis?In short, assembly tolerance stacks up analysis is defined as the tolerance value of the whole assembly or a specific gap of the assembly when we are aware about the tolerance values of all its components.Assembly tolerance chain stack up analysis can be accomplished in different ways. The simplest procedure is termed as the worst case method, which we discuss here.Discussion about Worst Case Method of Assembly Tolerance Stack UpLet, we have an assembly of four thick sheets like below −The thickness and tolerance of the four sheets are displayed in the above figure. ... Read More

Definition and importance of Tolerance AnalysisTolerance analysis is the term given to a number of processes used to calculate the overall variation and effect of variation on products stemming (i.e. arisen) from imperfections in manufactured parts.Tolerance analysis is performed by product design engineers as they prepare to components for manufacturing. This is done to ensure according to end users’ demand as well as guarantee so that all manufactured components are fitted together within an assembly.The Definition of Tolerance AnalysisTolerance analysis is defined as the general term for activities related to the subject of potential collected variation in mechanical parts and assemblies. ... Read More

Shared memory is the memory block that can be accessed by more than one program. A shared memory concept is used to provide a way of communication and provide less redundant memory management.Distributed Shared Memory abbreviated as DSM is the implementation of shared memory concept in distributed systems. The DSM system implements the shared memory models in loosely coupled systems that are deprived of a local physical shared memory in the system. In this type of system distributed shared memory provides a virtual memory space that is accessible by all the system (also known as nodes) of the distributed hierarchy.Some ... Read More

Here we will see some search trees and their differences. There are many different search trees. They are different in nature. The basic search tree is Binary Search Tree (BST). Some other search trees are AVL tree, B tree, Red-Black tree, splay tree etc.These trees can be compares based on their operations. We will see the time complexity of these treesSearch TreeAverage CaseInsertDeleteSearchBinary Search TreeO(log n)O(log n)O(log n)AVL treeO(log2 n)O(log2 n)O(log2 n)B TreeO(log n)O(log n)O(log n)Red-Black TreeO(log n)O(log n)O(log n)Splay TreeO(log2 n)O(log2 n)O(log2 n)Search TreeWorst CaseInsertDeleteSearchBinary Search TreeO(n)O(n)O(n)AVL treeO(log2 n)O(log2 n)O(log2 n)B TreeO(log n)O(log n)O(log n)Red-Black TreeO(log n)O(log n)O(log n)Splay ... Read More