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

Determination of time complexity, Determination of Time Complexity The...

Determination of Time Complexity The RAM Model The random access model (RAM) of computation was devised through John von Neumann to study algorithms. In computer science,

Hasing and indexing, differentiate between indexing and hashing in file org...

differentiate between indexing and hashing in file organization

Determine about the post conditions assertion, Determine about the Post con...

Determine about the Post conditions assertion A  post condition is an assertion which should be true at completion of an operation. For instance, a post condition of the squ

State a algorithm that inputs the heights of all 500 student, As part of an...

As part of an experiment, a school measured heights (in metres) of all its 500 students. Write an algorithm, using a flowchart that inputs the heights of all 500 students and ou

Linked list, write an algorithm for multiplication of two sparse matrices u...

write an algorithm for multiplication of two sparse matrices using Linked Lists

Queue, algorithm for insertion in a queue using pointers

algorithm for insertion in a queue using pointers

Abstract data type-stack, Conceptually, the stack abstract data type mimics...

Conceptually, the stack abstract data type mimics the information kept into a pile on a desk. Informally, first we consider a material on a desk, where we might keep separate stack

Abstract data type-list, It is a useful tool for indicating the logical pro...

It is a useful tool for indicating the logical properties of data type. It is a collection of values & a set of operations on those values. Methodically, "a TYPE is a set, & elemen

Applications of the queue, Write down any four applications of the queues. ...

Write down any four applications of the queues.                                                            Ans. A pp li cation of Queue is given below (i)  Queue is

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