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

Logarithmic functions, y=log4(x). i am unsure what this graph is supposed t...

y=log4(x). i am unsure what this graph is supposed to look like?

Melisa and jennifer threw a fiftieth how much is a 20% tip, Melisa and Jenn...

Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w

Second order differential equation, Write the subsequent 2nd order differen...

Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri

Integerts, how do u add and subtract integers

how do u add and subtract integers

Ratios as fractions, 5to6

5to6

Describe a business, a. Write an exponential function that could model the ...

a. Write an exponential function that could model the information in this graph. b. Describe a business, scientific (not mathematical), or economic situation for what thi

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10, Solve 9 sin ( 2 x )= -5 cos(2x ) o...

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.

Function expansion, The functions {sinmx; cosmx}; m = 0,....∞ form a ...

The functions {sinmx; cosmx}; m = 0,....∞ form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these

Example of factoring quadratic polynomials, Factor following polynomials. ...

Factor following polynomials. x 2 + 2x -15 Solution x 2 +2x -15 Okay since the first term is x 2 we know that the factoring has to ta

Evaluate the area and perimeter of a square, Evaluate the area and perimete...

Evaluate the area and perimeter of a square: Example: Calculate the area and perimeter of a square with a = 5´. Be sure to include units in your answer. Solution:

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages