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

Explain decision tree, Decision Tree A decision tree is a diagram that ...

Decision Tree A decision tree is a diagram that shows conditions and actions sequentially and therefore shows which condition is to be considered first, second and so on. It is

Types of a linked list, A linked list can be of the following types:- ...

A linked list can be of the following types:-  Linear linked list or one way list Doubly linked list or two way list. Circular linked list Header linked list

How to construct binary tree, Q. A Binary tree comprises 9 nodes. The preor...

Q. A Binary tree comprises 9 nodes. The preorder and inorder traversals of the tree yield the given sequence of nodes: Inorder :          E     A    C    K    F     H    D

Insertion of a node into a binary search tree, A binary search tree is cons...

A binary search tree is constructed through the repeated insertion of new nodes in a binary tree structure. Insertion has to maintain the order of the tree. The value to the lef

Define threaded binary tree, Threaded Binary Tree:- By changing the NUL...

Threaded Binary Tree:- By changing the NULL lines in a binary tree to special links known as threads, it is possible to perform traversal, insertion and deletion without using

Tradeoff between space and time complexity, We might sometimes seek a trade...

We might sometimes seek a tradeoff among space & time complexity. For instance, we may have to select a data structure which requires a lot of storage to reduce the computation tim

Multilist file organisation, what is multilist length file organisation? ex...

what is multilist length file organisation? explain with an example

State in brief about assertion, State  in brief about assertion Asser...

State  in brief about assertion Assertion: A statement which should be true at a designated point in a program.

Define tractable and intractable problems, Define tractable and intractable...

Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are

Explain open addressing, Open addressing The easiest way to resolve a c...

Open addressing The easiest way to resolve a collision is to start with the hash address and do a sequential search by the table for an empty location.

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