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

Prove, Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is...

Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.

Logs, the variables x and y are thought to be related by a law of the form ...

the variables x and y are thought to be related by a law of the form ay^2=(x+b)lnx Where a and b are unknown constants. Can a and b be found and how.

Find the area of triangle, Find the area of TRIANGLE ? To find the area...

Find the area of TRIANGLE ? To find the area of a triangle, multiply the base (b) by the height (h), and divide the resulting number in half. In other words, area is. It is

Fractions, Andre''s boss asked him to arrange bolts placing the shortest bo...

Andre''s boss asked him to arrange bolts placing the shortest bolt near the front 1 and three fourth inch 1 and 5 eigths 1 and 11 sixteenths which is the shortest

Set builder notation, For inequalities we contain a similar notation.  Base...

For inequalities we contain a similar notation.  Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus

Logarithm, I need help with one logarithm problem

I need help with one logarithm problem

What is deductive reasoning, What is Deductive Reasoning ? Geometry is...

What is Deductive Reasoning ? Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved sta

Determine and classify all critical points , Determine and classify all the...

Determine and classify all the critical points of the given function.  Described the intervals where function is increasing & decreasing. Solution: Firstly we'll require

Help, how do I round a # and decimal

how do I round a # and decimal

Systematic sampling, Systematic Sampling Systematic sampling is a part ...

Systematic Sampling Systematic sampling is a part of simple random sampling in descending or ascending orders. In systematic sampling a sample is drawn according to some predet

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