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

Rectilinear figures, what are rctilinear figures ? types of rectilinear fig...

what are rctilinear figures ? types of rectilinear figures and their propertiees.

Definite integral, Definite Integral : Given a function f ( x ) which is c...

Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval se

Vector, with t =[a b c] construct a matrix A = 1 1 1 ...

with t =[a b c] construct a matrix A = 1 1 1 a b c a^2 b^2 c^2 a^3 b^3 c^3 using vector operations

Write following in terms of simpler logarithms, Write following in terms of...

Write following in terms of simpler logarithms.  (a) log 3 (9 x 4    / √y) Solution log 3 (9 x 4 / √y) =log ­ 3 9x 4 -  log  y (1/2) =log ­ 3 9 + log ­ 3 x 4

Round 468.235 to the nearest hundredth, Round 468.235 to the nearest hundre...

Round 468.235 to the nearest hundredth ? The hundredths place is the second digit to the right of the decimal point (3). To decide how to round, you must like as at the digit t

Shortcomng methods for teaching hto in maths, 1.What are the strengths and ...

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

How several miles did joe walk altogether, Joe walked 2 1/2 miles to school...

Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add

What is the square root of -i, To find sq root by the simple step... root (...

To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2

Inverse functions, We have seen that if y is a function of x, then fo...

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f

Example of division , Example of division: Divide 738 by 83. Soluti...

Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying

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