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

Adjacency matrix representation of a graph, An adjacency matrix representat...

An adjacency matrix representation of a graph cannot having information of : Parallel edges

Matrix stored in memory, Method to measure address of any element of a matr...

Method to measure address of any element of a matrix stored in memory. Let us consider 2 dimensional array a of size m*n further consider that the lower bound for the row index

Sorting algorithms, Sorting is significant application activity. Several so...

Sorting is significant application activity. Several sorting algorithms are obtainable. But, each is efficient for a specific situation or a specific kind of data. The choice of a

Determine relevancy and relative position of two polygons, Comparison Techn...

Comparison Techniques There are several techniques for determining the relevancy and relative position of two polygons. Not all tests may be used with all hidden-surface algori

Explain avl tree, AVL tree An AVL tree is a binary search tree in which...

AVL tree An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most 1 and in which the left and right subtrees are again

Insertion into a red-black tree, The insertion procedure in a red-black tre...

The insertion procedure in a red-black tree is similar to a binary search tree i.e., the insertion proceeds in a similar manner but after insertion of nodes x into the tree T, we c

#binary search, Ask question #Minima binary search tree is used to locate t...

Ask question #Minima binary search tree is used to locate the number 43 which of the following probe sequences are possible and which are not? explainum 100 words accepted#

Algorithm to delete the specific node from binary searchtree, Q. Write down...

Q. Write down an algorithm to delete the specific node from binary search tree. Trace the algorithm to delete a node (10) from the following given tree. Ans. Algor

Algorithms and flowcharts, write an algorithm and draw a flowchart to calcu...

write an algorithm and draw a flowchart to calculate the perimeter and area of a circle

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

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