Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Prove that a simple graph is connected if and only if it has a spanning tree.
Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G. By the definition of a tree, there is a path among any two nodes of T. As T is a subgraph of G, there is a path among each pair of nodes in G. Hence G is connected.
Here now let G is connected. If G is a tree then nothing to prove. If G is not a tree, it must consist of a simple circuit. Let G has n nodes. We can choose (n - 1) arcs from G in such type of a way that they not form a circuit. It results into a subgraph comprising all nodes and only (n - 1) arcs. So by definition this subgraph is a spanning tree.
Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a
Determine the fundamental period of the following discrete-time signal: X(n) = 2sin(4n)π +π/4) + 5sin16n +4sin (20n +π/3)
In a 2500 word report do the market analysis of China. Under this you have to explain: - What are the advantages and disadvantages for foreign company to set up its business cent
Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu
1+3i/2+3i standard form
Kurtosis - It is a concept, which refers to the degree of peakedness of a described frequency distribution. The degree is generally measured along with reference to general di
Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t
Prove that A tree with n vertices has (n - 1) edges. Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd