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

Example of single node with multiple elements, The class Element represents...

The class Element represents a single node that can be part of multiple elements on a hotplate and runs in its own thread. The constructor accepts the initial temperature and a hea

The various ways in which lc code can be accessed, Problem Your LC code...

Problem Your LC code is stored in a memory location as shown and the variable name is LC                  LC Memory address       Content(LC code)

How do collisions happen during hashing, How do collisions happen during ha...

How do collisions happen during hashing? Usually the key space is much larger than the address space, thus, many keys are mapped to the same address. Assume that two keys K1 an

Compound interest, Write the algorithm for compound interest

Write the algorithm for compound interest

Linked list, Write a program for reversing the Linked list

Write a program for reversing the Linked list

Binary trees, A binary tree is a special tree where each non-leaf node can ...

A binary tree is a special tree where each non-leaf node can have atmost two child nodes. Most important types of trees which are used to model yes/no, on/off, higher/lower, i.e.,

Number of operations possible on ordered lists and arrays, Q. Enumerate num...

Q. Enumerate number of operations possible on ordered lists and arrays.  Write procedures to insert and delete an element in to array.

Sorting, compare and contrast the bubble sort,quick sort,merge sort and rad...

compare and contrast the bubble sort,quick sort,merge sort and radix sort

Explain the question, Merging 4 sorted files having 50, 10, 25 and 15 recor...

Merging 4 sorted files having 50, 10, 25 and 15 records will take time

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