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

Asymptotic notation, Asymptotic notation Let us describe a few function...

Asymptotic notation Let us describe a few functions in terms of above asymptotic notation. Example: f(n) = 3n 3 + 2n 2 + 4n + 3 = 3n 3 + 2n 2 + O (n), as 4n + 3 is of

Binry trees, Build a class ?Node?. It should have a ?value? that it stores ...

Build a class ?Node?. It should have a ?value? that it stores and also links to its parent and children (if they exist). Build getters and setters for it (e.g. parent node, child n

B-tree, Unlike a binary-tree, each node of a B-tree may have a number of ke...

Unlike a binary-tree, each node of a B-tree may have a number of keys and children. The keys are stored or saved in non-decreasing order. Each key has an related child that is the

Implementation of stack, In this unit, we have learned how the stacks are i...

In this unit, we have learned how the stacks are implemented using arrays and using liked list. Also, the advantages and disadvantages of using these two schemes were discussed. Fo

State the range of operation of abstract data type, State the range of oper...

State the range of operation of ADT Operations of the Range of T ADT includes following, where a, b ∈ T and r and s are values of Range of T: a...b-returns a range value (an

Multiple stack in single dimensional array, Implement multiple stacks in a ...

Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

What is quick sort, What is quick sort?   Answer Quick sort is on...

What is quick sort?   Answer Quick sort is one of the fastest sorting algorithm used for sorting a list. A pivot point is chosen. Remaining elements are divided or portio

Algorithm to insert element to a max-heap sequentially, Q. Write  down the ...

Q. Write  down the  algorithm  to  insert  an  element  to  a  max-heap  which  is  represented sequentially.           Ans: The algorithm to insert an element "newkey" to

Multidimensional array in one dimensional array, Q. By giving an example sh...

Q. By giving an example show how multidimensional array can be represented in one the dimensional array.

Data communication, #question.explain different types of errors in data tra...

#question.explain different types of errors in data transmission.

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