Shortest path algorithms, Data Structure & Algorithms

Assignment Help:

A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The graphs are weighted directed graphs. The weight could be cost, time, and losses other than distance designated by numerical values.

Single source shortest path problem: To determine a shortest path from a single source to each of the vertex of the Graph.

Suppose a Graph G = (V, E). We desire to find out the shortest path from single source vertex s?V, to every vertex v?V. The single source shortest path algorithm (Dijkstra's Algorithm) is depending on assumption that no edges have negative weights.

The process followed to find shortest path are depend on a concept called relaxation. This method frequently decreases the upper bound of actual shortest path of each vertex from the source until it equals the shortest-path weight. Please note down that shortest path among two vertices contains other shortest path within it.


Related Discussions:- Shortest path algorithms

Red black tree, red black tree construction for 4,5,6,7,8,9

red black tree construction for 4,5,6,7,8,9

linear-expected-time algorithm, Implement a linear-expected-time algorithm...

Implement a linear-expected-time algorithm for selecting the k th smallest element Algorithm description 1. If |S| = 1, then k = 1 and return the element in S as the an

What are the advantages of using assertions, Using Assertions When writ...

Using Assertions When writing code, programmer must state pre- and subtle post conditions for public operations, state class invariants and insert unreachable code assertions a

Define the term - array, Define the term - Array A fixed length, ord...

Define the term - Array A fixed length, ordered collection of values of same type stored in contiguous memory locations; collection may be ordered in several dimensions.

Binary tree traversals, We have discussed already about three tree traversa...

We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and p

Maximum numbers of nodes a binary tree of depth d, Maximum numbers of nodes...

Maximum numbers of nodes a binary tree of depth d The maximum numbers of nodes a binary tree of depth d can have is 2 d+1 -1.

Objectives of lists, After going through this unit, you will be able to: ...

After going through this unit, you will be able to: • define and declare Lists; • understand the terminology of Singly linked lists; • understand the terminology of Doubly

Lists, In the earlier unit, we have discussed about the arrays. Arrays are ...

In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulat

Depth of complete binary tree, What will be depth do , of complete binary t...

What will be depth do , of complete binary tree of n nodes, where nodes are labelled from 1 to n with root as node and last leaf node as node n

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd