Minimum cost spanning trees, Data Structure & Algorithms

Assignment Help:

A spanning tree of any graph is only a subgraph that keeps all the vertices and is a tree (having no cycle). A graph might have many spanning trees.

2410_MINIMUM COST SPANNING TREES.png

Figure: A Graph

849_MINIMUM COST SPANNING TREES1.png

Figure: Spanning trees of the Graph of above graph

Let the graph of given graph. It's spanning trees are shown in Figure.

Now, if the graph is weighted graph (length related with each edge). The weight of the tree is only the sum of weights of its edges. Clearly, distinct spanning trees have different weights or lengths. Our objective is to determine the minimum length (weight) spanning tree.

Imagine, we have a group of islands that we desire to link with bridges so that it is possible to travel from one island to any other in the group. The set of bridges that will enable one to travel from any island to any other at minimum capital cost to the government will be the minimum cost spanning tree.


Related Discussions:- Minimum cost spanning trees

Binary search tree, write an algorithm to delete an element x from binary...

write an algorithm to delete an element x from binary search with time complex

Define the external path length, Define the External Path Length The Ex...

Define the External Path Length The External Path Length E of an extended binary tree is explained as the sum of the lengths of the paths - taken over all external nodes- from

Explain multiplication method, Multiplication Method: The multiplication m...

Multiplication Method: The multiplication method operates in 2 steps. In the 1ststep the key value K is multiplied by a constant A in the range O

The quick sort algorithm exploit design technique, The quick sort algorithm...

The quick sort algorithm exploit design technique Divide and Conquer

Determine the warnock algorithm, Warnock's Algorithm A divide and conqu...

Warnock's Algorithm A divide and conquer algorithm Warnock (PolyList PL, ViewPort VP) If (PL simple in VP) then Draw PL in VP, else Split VP vertically and horiz

Determine about the push operation, Determine about the push operation ...

Determine about the push operation A Container may or may not be accessible by keys, so it can't make assumptions about element retrieval methods (for example, it cannot have a

Write an algorithm insert, Q. Write an algorithm INSERT which takes a point...

Q. Write an algorithm INSERT which takes a pointer to a sorted list and a pointer to a node and inserts the node into its correct position or place in the list.  Ans: /* s

Sorting on several keys, Thus far, we have been considering sorting depend ...

Thus far, we have been considering sorting depend on single keys. However, in real life applications, we may desire to sort the data on several keys. The simplest instance is that

Algorithm for sorting a deck of cards, What is wrong with the following alg...

What is wrong with the following algorithm for sorting a deck of cards (considering the basic properties of algorithms)? I. Put the cards together into a pile II. For each ca

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