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

Calculate the k-th power and recursive algorithem, 1. The following is a r...

1. The following is a recursive algorithm to calculate the k -th power of 2. Input k a natural number Output kth power of 2 Algorithem: If k =0then return 1 Else return 2* po

Hash function, Q. Define the graph, adjacency matrix, adjacency list, hash ...

Q. Define the graph, adjacency matrix, adjacency list, hash function, adjacency matrix, sparse matrix, reachability matrix.

Define heap, HEAP  A heap is described to be a binary tree with a key i...

HEAP  A heap is described to be a binary tree with a key in every node, such that  1-All the leaves of the tree are on 2 adjacent levels. 2- All leaves on the lowest leve

Explain time complexity, Time Complexity:- The time complexity of an algori...

Time Complexity:- The time complexity of an algorithm is the amount of time it requires to run to completion. Some of the reasons for studying time complexity are:- We may be in

B-tree, Draw a B-tree of order 3 for the following sequence of keys: 2,4,9,...

Draw a B-tree of order 3 for the following sequence of keys: 2,4,9,8,7,6,3,1,5,10.and delete 8 and 10

Asymptotic analysis, Asymptotic Analysis Asymptotic analysis is dependi...

Asymptotic Analysis Asymptotic analysis is depending on the idea that as the problem size grows, the complexity can be defined as a simple proportionality to some known functio

Explain insertion procedure into a b-tree, Ans: I nsertion into the B...

Ans: I nsertion into the B-tree: 1.  First search is made for the place where the new record must be positioned. As soon as the keys are inserted, they are sorted into th

Exlain double linked list, Double Linked List In a doubly linked list, ...

Double Linked List In a doubly linked list, also known as 2 way lists, each node is separated into 3 parts. The first part is called last pointer field. It has the address of t

Lists, In the earlier unit, we have discussed about the arrays. Arrays are ...

In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulat

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