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Write a program to convert the given graph from matrix representation to linked list representation

Question

Write a program to convert the given graph from matrix representation to linked list representation

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Solution

Sure, here is a Python program that converts a graph from matrix representation to adjacency list representation:

class Graph:
    def __init__(self, vertices):
        self.V = vertices
        self.graph = defaultdict(list)

    def addEdge(self, u, v):
        self.graph[u].append(v)

    def printGraph(self):
        for v in range(self.V):
            print("Adjacency list of vertex {}\n head".format(v), end="")
            for neighbour in self.graph[v]:
                print(" -> {}".format(neighbour), end="")
            print(" \n")

def convert(matrix):
    vertices = len(matrix)
    g = Graph(vertices)
    for i in range(vertices):
        for j in range(vertices):
            if matrix[i][j] == 1:
                g.addEdge(i, j)
    g.printGraph()

# Driver code
matrix = [[0, 1, 0, 1],
          [1, 0, 1, 0],
          [0, 1, 0, 1],
          [1, 0, 1, 0]]

convert(matrix)

This program first defines a Graph class with methods to add edges and print the graph. The convert function takes a matrix as input, creates a Graph object with the number of vertices equal to the length of the matrix, and then iterates over the matrix. If a cell in the matrix contains a 1, it adds an edge between the corresponding vertices in the graph. Finally, it prints the graph.

This problem has been solved

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