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

Steps of pre-order traversal, Pre-order Traversal The method of doing a...

Pre-order Traversal The method of doing a pre-order traversal iteratively then has the several steps(suppose that a stack is available to hold pointers to the appropriate nodes

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Bubble sort, In this sorting algorithm, multiple swapping occurs in one pas...

In this sorting algorithm, multiple swapping occurs in one pass. Smaller elements move or 'bubble' up to the top of the list, so the name given to the algorithm. In this method,

Inequalities, #question.show that the following inequality is correct or in...

#question.show that the following inequality is correct or incorrect. n!=O(n^n)

Limitation of binary search, Limitation of Binary Search: - (i)  The co...

Limitation of Binary Search: - (i)  The complexity of Binary search is O (log2 n). The complexity is similar irrespective of the position of the element, even if it is not pres

Polynomials, Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8...

Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8  can  be  represented by using arrays. Arithmetic operations such as addition & multiplication of polynomials are com

Algorithm that counts number of nodes in a linked list, Q. Write an algorit...

Q. Write an algorithm that counts number of nodes in a linked list.                                       A n s . Algo rithm to Count No. of Nodes in Linked List C

Algorithm to add element in the end of circular linked list, Q. Write down ...

Q. Write down an algorithm to add an element in the end of the circular linked list.        A n s . Algo rithm to Add the Element at the End of Circular Linked Lists

Sorting, Sort the following array of elements using quick sort: 3, 1, 4, 1,...

Sort the following array of elements using quick sort: 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8.

File organization, Define File organization''s and it''s types

Define File organization''s and it''s types

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