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

Daily revenue for next 30 days, Owner of a computer repair shop has daily r...

Owner of a computer repair shop has daily revenue with mean $7200 and SD $1200 Daily revenue for next 30 days will be monitored. What is probability that daily revenue for those 30

What is the area of the square in simplified form, If the side of a square ...

If the side of a square can be expressed as a2b 3 , what is the area of the square in simplified form? Since the formula for the area of a square is A = s 2 , then by substitut

Profit and loss, A man sold an item for Rs 6,750 at a loss 25%. What will b...

A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?

Percents., the cost of paint used in a redecorating job is $65.70 .This is ...

the cost of paint used in a redecorating job is $65.70 .This is a reduction from its original cost of $82.13 .What is the percent decrease in the cost of paint to the nearest perce

How to converting percents to fractions, How to Converting Percents to Frac...

How to Converting Percents to Fractions ? To convert a percent to a fraction: 1. Remove the percent sign. 2. Create a fraction, in which the resulting number from Step 1 is

Find the radius and centre of a circle, Find the centre of a circle passing...

Find the centre of a circle passing through the points (6, -6), (3, -7) and (3,3).Also find the radius.

Write an equation in radius and solve it for radius, X and Y are centers of...

X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally.  Given that XZY=90 o , w

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

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