Given the number of vertices in a Cycle graph. The task is to find the Total number of Spanning trees possible.
Note: A cycle/circular graph is a graph that contains only one cycle. A spanning tree is the shortest/minimum path in a graph that covers all the vertices of a graph.
Examples:
Input: Vertices = 3 Output: Total Spanning tree = 3 Input: Vertices = 4 Output: Total Spanning tree = 4
Example 1:
For Cycle Graph with vertices = 3
Spanning Tree possible is 3
Example 2:
For Cycle Graph with vertices = 4
Spanning Tree possible is 4
So, the number of spanning trees will always be equal to the number of vertices in a cycle graph.
Implementation:
C++
// C++ program to find number of// spanning trees#include <bits/stdc++.h>using namespace std;// function that calculates the// total Spanning treeint Spanning(int vertices){ int result = 0; result = vertices; return result;}// Driver codeint main(){ int vertices = 4; cout << "Spanning tree = " << Spanning(vertices); return 0;} |
Java
// Java program to find number of // spanning trees import java.io.*;class GFG {// function that calculates the // total Spanning tree static int Spanning(int vertices) { int result = 0; result = vertices; return result; } // Driver code public static void main (String[] args) { int vertices = 4; System.out.println("Spanning tree = " + Spanning(vertices)); }}// This code is contributed // by chandan_jnu.. |
Python3
# Python program to find number of # spanning trees # function that calculates the # total Spanning tree def Spanning( vertices): result = 0 result = vertices return result # Driver code vertices = 4print("Spanning tree = ", Spanning(vertices))# This code is contributed# by Sanjit_Prasad |
C#
// C# program to find number // of spanning treesusing System;// function that calculates // the total Spanning treeclass GFG{public int Spanning(int vertices){ int result = 0; result = vertices; return result;}// Driver codepublic static void Main(){ GFG g = new GFG(); int vertices = 4; Console.WriteLine("Spanning tree = {0}", g.Spanning(vertices));}}// This code is contributed// by Soumik |
PHP
<?php// PHP program to find number of// spanning trees// function that calculates the// total Spanning treefunction Spanning($vertices){ $result = 0; $result = $vertices; return $result;}// Driver code$vertices = 4;echo "Spanning tree = " . Spanning($vertices); // This code is contributed // by Ankita Saini?> |
Javascript
<script>// Javascript program to find number of// spanning trees// Function that calculates the// total Spanning treefunction Spanning(vertices){ result = 0; result = vertices; return result;}// Driver codevar vertices = 4;document.write("Spanning tree = " + Spanning(vertices));// This code is contributed by noob2000</script> |
Output
Spanning tree = 4
Time Complexity: O(1)
Auxiliary Space: O(1)
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