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

Homework, Write a recursive function the computes the number of digits in a...

Write a recursive function the computes the number of digits in a positive integer n. For example if n = 6598, the function should return 4. Find a variant expression and a thresho

In order post order, illlustraate the construction of tree of a binary tree...

illlustraate the construction of tree of a binary tree given its in order and post order transversal

What are expression trees, What are expression trees?  The leaves of an...

What are expression trees?  The leaves of an expression tree are operands, like as constants or variable names, and the other nodes have operators. This certain tree happens to

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

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

Linked list implementation of a queue, The fundamental element of linked li...

The fundamental element of linked list is a "record" structure of at least two fields. The object which holds the data & refers to the next element into the list is called a node .

Designed to manage the booking, Beauty Salon is a system to be designed to...

Beauty Salon is a system to be designed to manage the booking and the payment of a single beauty parlour. Beauty Therapists: A beauty parlour has a number of staff members mo

Technique for direct search, Technique for direct search is    Hashing ...

Technique for direct search is    Hashing is the used for direct search.

Sort list of distinct numbers in ascending order - quicksort, (1) Sort a li...

(1) Sort a list of distinct numbers in ascending order, using the following divide- and-conquer strategy (Quicksort): divide the list of numbers into two lists: one that contains a

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

STACK, 5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and P...

5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and POP) using a singly linked list L. The operations PUSH and POP should still take O(1) time.

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