What is minimum spanning tree, Mathematics

Assignment Help:

What is minimum spanning tree?  Determine a railway network of minimal cost for the cities in the following graph using Kruskal's algorithm.

Ans: Minimum spanning tree in a connected weighted graph is spanning tree which has the smallest possible sum of weights of its edges.

2247_What is minimum spanning tree.png

We collect the edges in sorted order like this:

1121_What is minimum spanning tree 1.png

Select the edges (B,C),(D,F),(A,G),(C,D),(C,E).

After that we have option we may choose only one of (A,B) and (A,D), as selection of both makes a circuit. Assume we choose (A,B).  

Similarly we may choose just only one of (G,H) and (F,H).Assume we select (F,H).  

We Comprise a spanning tree as:

1500_What is minimum spanning tree 2.png


Related Discussions:- What is minimum spanning tree

Profit, A wholesaler allows a discount of 20% on the list price to a retail...

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price.If a customer paid Rs 114 for an article,what profit is m

Evaluate following unit circle, Evaluate following sin 2 ?/3   and sin (-2 ...

Evaluate following sin 2 ?/3   and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3.  It is not on our unit circle above, though notice that  2 ?/

Right- and left-handed limits , Right- and left-handed limits : Next, let'...

Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition   For the right-hand limit we say that, if for eve

Interval of convergence - sequences and series, Interval of Convergence ...

Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv

The sum of two consecutive integers is 41 integer, The sum of two consecuti...

The sum of two consecutive integers is 41. What are the integers? Two consecutive integers are numbers in sequence like 4 and 5 or -30 and -29, that are each 1 number apart. Le

What is the probability that the dart will land in the shade, In the adjoin...

In the adjoining figure a dart is thrown at the dart board and lands in the interior of the circle. What is the probability that the dart will land in the shaded region. A

Cenamatic, a tire placed on a balancing machine in a service station starts...

a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a

Differential equation, Find the normalized differential equation which has ...

Find the normalized differential equation which has {x, xex} as its fundamental set

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