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

RATIO, 3 years to 104 weeks,express answer in ratio

3 years to 104 weeks,express answer in ratio

Elli[ital paths of celestial bodies, Create a detailed diagram to describe ...

Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y

Project, report on shares and dovidend using newspaer

report on shares and dovidend using newspaer

Partial fractions - integration techniques, Partial Fractions - Integration...

Partial Fractions - Integration techniques In this part we are going to take a look at integrals of rational expressions of polynomials and again let's start this section out w

What is this distance expressed in scientific notation, The distance from t...

The distance from the earth to the moon is approximately 240,000 miles. What is this distance expressed in scientific notation? To convert to scienti?c notation, place a decima

Vector analysis ...gradient, A body is constrained to move in a path y = 1+...

A body is constrained to move in a path y = 1+ x^2 and its motion is resisted by friction. The co-efficient of friction is 0.3. The body is acted on by a force F directed towards t

Theorem on intervals of validity, Theorem Consider the subsequent IVP....

Theorem Consider the subsequent IVP. y′ =  p (t ) y = g (t )  y (t 0 )= y 0 If p(t) and g(t) are continuous functions upon an open interval a o , after that there i

My daugther needs help, my daughter is having trouble with math she cant un...

my daughter is having trouble with math she cant understand why please help us

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