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

Explain comparing mixed numbers in maths, Explain Comparing Mixed Numbers i...

Explain Comparing Mixed Numbers in maths? A mixed number is made up of two parts: a whole number and a fraction. For example: 2(3/4) 2(3/4) is read "two and three-fourths

Calculate the value of the following limits, Calculate the value of the fol...

Calculate the value of the following limits. Solution To remind us what this function such as following the graph. hence, we can see that if we reside to the r

Rank correlation coefficient, Rank Correlation Coefficient Also ident...

Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Calculate the profits per acre strategy, A farmer grows apples on her 600 a...

A farmer grows apples on her 600 acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"

Natural exponential function , Natural exponential function : There is a e...

Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun

Quantitative analysis, Suppose the economy is now ‘open’ and thus has an ex...

Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget

Incircle, ab=8cm,bc=6cm,ca=5cm draw an incircle.

ab=8cm,bc=6cm,ca=5cm draw an incircle.

Trigonometry, In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 de...

In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 degrees.BC=?

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