Please help to question 16 and 17 please

A degree-constrained minimum spanning tree is a minimum spanning tree (MST) where the maximum vertex degree is limited to a cert

Bingel [31]

Answer:

A spanning tree is a subset of Graph G, which has all the vertices covered with minimum possible number of edges. Hence, a spanning tree does not have cycles and it cannot be disconnected..

By this definition, we can draw a conclusion that every connected and undirected Graph G has at least one spanning tree. A disconnected graph does not have any spanning tree, as it cannot be spanned to all its vertices.

Spanning Trees

We found three spanning trees off one complete graph. A complete undirected graph can have maximum nn-2 number of spanning trees, where n is the number of nodes. In the above addressed example, n is 3, hence 33−2 = 3 spanning trees are possible.

General Properties of Spanning Tree

We now understand that one graph can have more than one spanning tree. Following are a few properties of the spanning tree connected to graph G −

A connected graph G can have more than one spanning tree.

All possible spanning trees of graph G, have the same number of edges and vertices.

The spanning tree does not have any cycle (loops).

Removing one edge from the spanning tree will make the graph disconnected, i.e. the spanning tree is minimally connected.

Adding one edge to the spanning tree will create a circuit or loop, i.e. the spanning tree is maximally acyclic.

Explanation:

8 0

3 years ago

Write a function call it isEvenPositiveInt which takes an integer x and return true if x is positive and also even. Note isinsta

Anna11 [10]

Answer:

The program to this question as follows:

Program:

def isEvenPositiveInt(x): #defining method isEvenPositiveInt

if x>0: #checking number is positive or not

if x%2==0: #check true condition

return True #return value True

else:

return False #return value False

print(isEvenPositiveInt(24)) #calling method and print return value

print(isEvenPositiveInt(-24)) #calling method and print return value

print(isEvenPositiveInt(23)) #calling method and print return value

Output:

True

False

Explanation:

In the above Python program, a method "isEvenPositiveInt" is defined, that accepts a variable "x" as its parameter, inside the method a conditional statement is used, which can be described as follows:

In the if block the condition "x>0" is passed, that check value is positive, if this condition is true, it will go to another if block.
In another, if block is defined, that checks the inserted value is even or not, if the value is even it will return "true", otherwise it will go to the else part, that returns "false".

5 0

3 years ago

What are examples of intermediate goals that require funding? Check all that apply.

SashulF [63]

2.) Attending college

3 0

3 years ago

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The scope of a variable declared within a for() loop is:

Leni [432]

Answer:

a

Explanation:

The variable declared in the for is accessible only within the for loop and it goes out of scope once the loop get end

eg : for(int i=1;i<=10,i++) // variable i is declared

{

// variable i is visible only in this block,

}

//After this the variable i goes out of scope

5 0

3 years ago

Review how to write a for loop by choosing the output of this short program.

Natalija [7]

This for loop will output:

0

2

4

The range(3) is all the integers between 0 inclusive and 3 exclusive. 0, 1, 2.

Every iterations through the for loop, we multiply the value of each number by 2 and print it to the console.

0 * 2 = 0

1 * 2 = 2

2 * 2 = 4

I hope this helps.

5 0

3 years ago

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