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

Word problems, The sum of two numbers is 19, their difference is 5. find th...

The sum of two numbers is 19, their difference is 5. find the numbers

Write down the first few terms of the sequences, Write down the first few t...

Write down the first few terms of each of the subsequent sequences. 1. {n+1 / n 2 } ∞ n=1 2. {(-1)n+1 / 2n} ∞ n=0 3. {bn} ∞ n=1, where bn = nth digit of ? So

Mathematical formulae, Mathematical Formulae (a ...

Mathematical Formulae (a + b) 2 = a 2 + b 2 + 2ab (a - b) 2 = a 2 + b 2 - 2ab (a + b) 2 +

Symmetric and anti-symmetric relation on a set, 1. Let A = {1,2, 3,..., n} ...

1. Let A = {1,2, 3,..., n} (a) How many relations on A are both symmetric and anti-symmetric? (b) If R is a relation on A that is anti-symmetric, what is the maximum number o

COS Sheets, How do I find percentages with doing COS Sheets

How do I find percentages with doing COS Sheets

Determine the inverse function f ( x ), Given f ( x ) = 3x - 2 determine ...

Given f ( x ) = 3x - 2 determine     f -1 ( x ) . Solution Now, already we know what the inverse to this function is as already we've done some work with it.  Though, it

Linear programming problem., Ask question #Minimum 100 words acca paper mil...

Ask question #Minimum 100 words acca paper mill produces two grades of paper viz.,xand y.Bacause of raw material restrictions, it cannot produce more than 400 tones of grade x pape

Matrix, cramers rule introduction

cramers rule introduction

Which formula he use if he does not paint bottom of tank, Al is painting a ...

Al is painting a right cylinder storage tank. In sequence to purchase the correct amount of paint he requires to know the total surface area to be painted. Which formula will he us

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