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PSYCHO15rus [73]
2 years ago
9

Given below is information about a network. Choose one of the following three​ options: the network is definitely a​ tree; the n

etwork is definitely not a​ tree; the network may or may not be a tree​ (more information is​ needed). Accompany your answer with a brief explanation for your choice. The network has 15 vertices and no bridges.
Computers and Technology
1 answer:
MatroZZZ [7]2 years ago
4 0

A Network is definitely a Tree when any of the below properties matched.

Explanation:

A Network is synonym for connected graph. Connected graph is a graph is a path which will connect from vertex to vertex.

A Tree is a network that has no circuit. network can be differed from tree by three key properties

1. Single path property - one path connecting two vertices

2. All bridges property - every edge of a network is a bridge

3. N-1 edges property - N vertices has N-1 edges

To determine this we use to N-1 edges property as given number of vertices and no bridges.

If a network has 15 vertices it must have 15-1= 14 edges to become a tree

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<h3>Writting in C++ code:</h3>

<em />

<em>#include <iostream></em>

<em>using namespace std;</em>

<em>bool isPrime(int n){</em>

<em>   for(int i = 2; i < n/2; i++){</em>

<em>      if(n%i == 0){</em>

<em>         return false;</em>

<em>      }</em>

<em>   }</em>

<em>   return true;</em>

<em>}</em>

<em>int findPrimeSum(int n){</em>

<em>   int sumVal = 0;</em>

<em>   for(float i = 2; i <= n; i++){</em>

<em>      if(isPrime(i))</em>

<em>         sumVal += i;</em>

<em>   }</em>

<em>   return sumVal;</em>

<em>}</em>

<em>int main(){</em>

<em>   int n = 15;</em>

<em>   cout<<"The sum of prime number between 1 to "<<n<<" is "<<findPrimeSum(n);</em>

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<em>}</em>

See more about C++ code at brainly.com/question/19705654

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