Adjacency Matrix

adj_matrix.py

class Vertex:
    def __init__(self, vertex):
        self.name = vertex
        self.neighbors = []
        
    def add_neighbor(self, neighbor):
        if isinstance(neighbor, Vertex):
            if neighbor.name not in self.neighbors:
                self.neighbors.append(neighbor.name)
                neighbor.neighbors.append(self.name)
                self.neighbors = sorted(self.neighbors)
                neighbor.neighbors = sorted(neighbor.neighbors)
        else:
            return False
        
    def add_neighbors(self, neighbors):
        for neighbor in neighbors:
            if isinstance(neighbor, Vertex):
                if neighbor.name not in self.neighbors:
                    self.neighbors.append(neighbor.name)
                    neighbor.neighbors.append(self.name)
                    self.neighbors = sorted(self.neighbors)
                    neighbor.neighbors = sorted(neighbor.neighbors)
            else:
                return False
        
    def __repr__(self):
        return str(self.neighbors)


class Graph:
    def __init__(self):
        self.vertices = {}
    
    def add_vertex(self, vertex):
        if isinstance(vertex, Vertex):
            self.vertices[vertex.name] = vertex.neighbors

            
    def add_vertices(self, vertices):
        for vertex in vertices:
            if isinstance(vertex, Vertex):
                self.vertices[vertex.name] = vertex.neighbors

            
    def add_edge(self, vertex_from, vertex_to):
        if isinstance(vertex_from, Vertex) and isinstance(vertex_to, Vertex):
            vertex_from.add_neighbor(vertex_to)
            if isinstance(vertex_from, Vertex) and isinstance(vertex_to, Vertex):
                self.vertices[vertex_from.name] = vertex_from.neighbors
                self.vertices[vertex_to.name] = vertex_to.neighbors
                
    def add_edges(self, edges):
        for edge in edges:
            self.add_edge(edge[0],edge[1])          
    
    def adjacencyList(self):
        if len(self.vertices) >= 1:
                return [str(key) + ":" + str(self.vertices[key]) for key in self.vertices.keys()]  
        else:
            return dict()
        
    def adjacencyMatrix(self):
        if len(self.vertices) >= 1:
            self.vertex_names = sorted(g.vertices.keys())
            self.vertex_indices = dict(zip(self.vertex_names, range(len(self.vertex_names)))) 
            import numpy as np
            self.adjacency_matrix = np.zeros(shape=(len(self.vertices),len(self.vertices)))
            for i in range(len(self.vertex_names)):
                for j in range(i, len(self.vertices)):
                    for el in g.vertices[self.vertex_names[i]]:
                        j = g.vertex_indices[el]
                        self.adjacency_matrix[i,j] = 1
            return self.adjacency_matrix
        else:
            return dict()              
                        

def graph(g):
    """ Function to print a graph as adjacency list and adjacency matrix. """
    return str(g.adjacencyList()) + '\n' + '\n' + str(g.adjacencyMatrix())

###################################################################################

a = Vertex('A')
b = Vertex('B')
c = Vertex('C')
d = Vertex('D')
e = Vertex('E')

a.add_neighbors([b,c,e]) 
b.add_neighbors([a,c])
c.add_neighbors([b,d,a,e])
d.add_neighbor(c)
e.add_neighbors([a,c])
        
        
g = Graph()
print(graph(g))
print("\n")
g.add_vertices([a,b,c,d,e])
g.add_edge(b,d)
print("\n")
print(graph(g))