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//... A Program to represent a Graph by using an Adjacency Matrix method
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/*
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This C program generates graph using Adjacency Matrix Method.
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A graph G,consists of two sets V and E. V is a finite non-empty set of vertices.E is a set of pairs of vertices,these pairs are called as edges V(G) and E(G) will represent the sets of vertices and edges of graph G.
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Undirected graph – It is a graph with V vertices and E edges where E edges are undirected. In undirected graph, each edge which is present between the vertices Vi and Vj,is represented by using a pair of round vertices (Vi,Vj).
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Directed graph – It is a graph with V vertices and E edges where E edges are directed.In directed graph,if Vi and Vj nodes having an edge.than it is represented by a pair of triangular brackets Vi,Vj.
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*/
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#include <stdio.h>
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#include <stdlib.h>
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void main()
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{
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int option;
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do
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{
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printf("\n A Program to represent a Graph by using an ");
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printf("Adjacency Matrix method \n ");
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printf("\n 1. Directed Graph ");
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printf("\n 2. Un-Directed Graph ");
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printf("\n 3. Exit ");
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printf("\n\n Select a proper option : ");
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scanf("%d", &option);
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switch(option)
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{
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case 1 :
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dir_graph();
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break;
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case 2 :
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undir_graph();
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break;
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case 3 :
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exit(0);
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} // switch
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}
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while(1);
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}
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int dir_graph()
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{
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int adj_mat[50][50];
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int n;
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int in_deg, out_deg, i, j;
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printf("\n How Many Vertices ? : ");
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scanf("%d", &n);
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read_graph(adj_mat, n);
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printf("\n Vertex \t In_Degree \t Out_Degree \t Total_Degree ");
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for (i = 1; i <= n ; i++ )
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{
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in_deg = out_deg = 0;
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for ( j = 1 ; j <= n ; j++ )
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{
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if ( adj_mat[j][i] == 1 )
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in_deg++;
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}
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for ( j = 1 ; j <= n ; j++ )
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if (adj_mat[i][j] == 1 )
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out_deg++;
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printf("\n\n %5d\t\t\t%d\t\t%d\t\t%d\n\n",i,in_deg,out_deg,in_deg+out_deg);
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}
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return;
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}
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int undir_graph()
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{
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int adj_mat[50][50];
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int deg, i, j, n;
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printf("\n How Many Vertices ? : ");
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scanf("%d", &n);
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read_graph(adj_mat, n);
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printf("\n Vertex \t Degree ");
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for ( i = 1 ; i <= n ; i++ )
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{
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deg = 0;
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for ( j = 1 ; j <= n ; j++ )
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if ( adj_mat[i][j] == 1)
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deg++;
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printf("\n\n %5d \t\t %d\n\n", i, deg);
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}
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return;
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}
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int read_graph ( int adj_mat[50][50], int n )
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{
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int i, j;
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char reply;
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for ( i = 1 ; i <= n ; i++ )
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{
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for ( j = 1 ; j <= n ; j++ )
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{
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if ( i == j )
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{
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adj_mat[i][j] = 0;
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continue;
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}
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printf("\n Vertices %d & %d are Adjacent ? (Y/N) :",i,j);
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scanf("%c", &reply);
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if ( reply == 'y' || reply == 'Y' )
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adj_mat[i][j] = 1;
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else
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adj_mat[i][j] = 0;
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}
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}
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return;
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} |