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

How many ounces of soup does she required, Sharon needs to make 25 half-cup...

Sharon needs to make 25 half-cup servings of soup. How many ounces of soup does she required? One cup is 8 ounces, so half a cup is 4 ounces. Multiply 25 by 4 ounces to find ou

Direction fields, steps to draw direction or slope fields

steps to draw direction or slope fields

BASIC MATHEMATHICS :AN APPLIED APPROACH BY RATHUS, FIRST OF ALL I WANNA KN...

FIRST OF ALL I WANNA KNOW THECHNIQUES, I CAT DIVIDE BIG BIG NUMBERS , EVERYTHING IN MATH IIS VERY HARD FOR ME I HOPE YOU CAN HELP ME

Linear programming, Maximize P=3x+2y Subject to ...

Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0

Solving problem with linear function, An electric utility company determine...

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month

Illustrate child ability to perform a math task, Give an example to illustr...

Give an example to illustrate how language incompetence can interfere with a child's ability to perform a task. While setting up a classification activity, a teacher gave the ch

Nonhomogeneous systems, We now require addressing nonhomogeneous systems in...

We now require addressing nonhomogeneous systems in brief. Both of the methods which we looked at back in the second order differential equations section can also be used now.  Sin

Fractions, which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d....

which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d.10/15

Power of x, (x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

(x+1/x)^2=3 then value of x^72+x^66+x^54+x^36+x^24+x^6+1 is

Find the 20th term of arithmetic progressions, Find the 20 th term from th...

Find the 20 th term from the end of the AP 3, 8, 13........253. Ans:    3, 8, 13 .............. 253 Last term = 253 a20 from end = l - (n-1)d 253 - ( 20-1) 5 253

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