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

Multiple queue, #questionalgorithm for implementing multiple\e queues in a ...

#questionalgorithm for implementing multiple\e queues in a single dimensional array

Explain dijkstra''s algorithm, Explain Dijkstra's algorithm Dijkstra's ...

Explain Dijkstra's algorithm Dijkstra's algorithm: This problem is concerned with finding the least cost path from an originating node in a weighted graph to a destination node

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Merging 4 sorted files containing 50, Merging 4 sorted files having 50, 10,...

Merging 4 sorted files having 50, 10, 25 and 15 records will take time  O (100)

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

Er diagram, Ask queConsider the following functional dependencies: Applican...

Ask queConsider the following functional dependencies: Applicant_ID -> Applicant_Name Applicant_ID -> Applicant_Address Position_ID -> Positoin_Title Position_ID -> Date_Position_O

Random searching, write a program that find,search&replace a text string

write a program that find,search&replace a text string

What are circular queues, What are circular queues?  Circular queue: St...

What are circular queues?  Circular queue: Static queues have a very large drawback that once the queue is FULL, even though we erase few elements from the "front" and relieve

Design a binary search tree, Binary Search Tree usage: Write a progra...

Binary Search Tree usage: Write a program to compare the time taken for a search in a skewed tree, a balanced tree, and a random tree. Speci cally, your program should do the

Dynamic memory management, How memory is freed using Boundary tag method in...

How memory is freed using Boundary tag method in the context of Dynamic memory management? Boundary Tag Method to free Memory To delete an arbitrary block from the free li

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