Write prim's algorithm, Mathematics

Assignment Help:

Write Prim's Algorithm.  

Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below. 

Let G = (V, E) be graph and S = (VS, ES) be the spanning tree to be found from G.

Step 1: Choose a vertex v1 of V and initialize 

VS = {v1} and

ES

= {}

Step 2: Choose a nearest neighbor of vi from V that is adjacent to some vj∈VS and that edge (vi, vj) does not form a cycle with members edge of ES. Set

VS = VS ∪{vi} and

ES = ES ∪{(vi, vj)}  

Step 3: Again Repeat step2 until |Es| = |V| - 1.


Related Discussions:- Write prim's algorithm

Tied rankings, Tied Rankings A slight adjustment to the formula is mad...

Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied

Sketch the graph, Sketch the graph of                          y = ( x -...

Sketch the graph of                          y = ( x -1) 2  - 4 . Solution Now, it is a parabola .Though, we haven't gotten that far yet and thus we will have to select

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Slope of tangent line, Slope of Tangent Line : It is the next major interp...

Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,

Find the common difference & write the next 3 terms, If the following terms...

If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans:    d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,

Binary, how to divide a binaries

how to divide a binaries

Pemdas, what is the answer using pemdas (32 divided into 4)+3

what is the answer using pemdas (32 divided into 4)+3

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