Python Implementation of Undirected Graphs (Adjacency List and Adjacency Matrix)

graphUndirected.ipynb

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      "{}\n",
      "\n",
      "{}\n",
      "\n",
      "\n",
      "[\"A:['B', 'C', 'E']\", \"C:['A', 'B', 'D', 'E']\", \"B:['A', 'C', 'D']\", \"E:['A', 'C']\", \"D:['B', 'C']\"]\n",
      "\n",
      "[[ 0.  1.  1.  0.  1.]\n",
      " [ 1.  0.  1.  1.  0.]\n",
      " [ 1.  1.  0.  1.  1.]\n",
      " [ 0.  1.  1.  0.  0.]\n",
      " [ 1.  0.  1.  0.  0.]]\n"
     ]
    }
   ],
   "source": [
    "class Vertex:\n",
    "    def __init__(self, vertex):\n",
    "        self.name = vertex\n",
    "        self.neighbors = []\n",
    "        \n",
    "    def add_neighbor(self, neighbor):\n",
    "        if isinstance(neighbor, Vertex):\n",
    "            if neighbor.name not in self.neighbors:\n",
    "                self.neighbors.append(neighbor.name)\n",
    "                neighbor.neighbors.append(self.name)\n",
    "                self.neighbors = sorted(self.neighbors)\n",
    "                neighbor.neighbors = sorted(neighbor.neighbors)\n",
    "        else:\n",
    "            return False\n",
    "        \n",
    "    def add_neighbors(self, neighbors):\n",
    "        for neighbor in neighbors:\n",
    "            if isinstance(neighbor, Vertex):\n",
    "                if neighbor.name not in self.neighbors:\n",
    "                    self.neighbors.append(neighbor.name)\n",
    "                    neighbor.neighbors.append(self.name)\n",
    "                    self.neighbors = sorted(self.neighbors)\n",
    "                    neighbor.neighbors = sorted(neighbor.neighbors)\n",
    "            else:\n",
    "                return False\n",
    "        \n",
    "    def __repr__(self):\n",
    "        return str(self.neighbors)\n",
    "\n",
    "\n",
    "class Graph:\n",
    "    def __init__(self):\n",
    "        self.vertices = {}\n",
    "    \n",
    "    def add_vertex(self, vertex):\n",
    "        if isinstance(vertex, Vertex):\n",
    "            self.vertices[vertex.name] = vertex.neighbors\n",
    "\n",
    "            \n",
    "    def add_vertices(self, vertices):\n",
    "        for vertex in vertices:\n",
    "            if isinstance(vertex, Vertex):\n",
    "                self.vertices[vertex.name] = vertex.neighbors\n",
    "\n",
    "            \n",
    "    def add_edge(self, vertex_from, vertex_to):\n",
    "        if isinstance(vertex_from, Vertex) and isinstance(vertex_to, Vertex):\n",
    "            vertex_from.add_neighbor(vertex_to)\n",
    "            if isinstance(vertex_from, Vertex) and isinstance(vertex_to, Vertex):\n",
    "                self.vertices[vertex_from.name] = vertex_from.neighbors\n",
    "                self.vertices[vertex_to.name] = vertex_to.neighbors\n",
    "                \n",
    "    def add_edges(self, edges):\n",
    "        for edge in edges:\n",
    "            self.add_edge(edge[0],edge[1])          \n",
    "    \n",
    "    def adjacencyList(self):\n",
    "        if len(self.vertices) >= 1:\n",
    "                return [str(key) + \":\" + str(self.vertices[key]) for key in self.vertices.keys()]  \n",
    "        else:\n",
    "            return dict()\n",
    "        \n",
    "    def adjacencyMatrix(self):\n",
    "        if len(self.vertices) >= 1:\n",
    "            self.vertex_names = sorted(g.vertices.keys())\n",
    "            self.vertex_indices = dict(zip(self.vertex_names, range(len(self.vertex_names)))) \n",
    "            import numpy as np\n",
    "            self.adjacency_matrix = np.zeros(shape=(len(self.vertices),len(self.vertices)))\n",
    "            for i in range(len(self.vertex_names)):\n",
    "                for j in range(i, len(self.vertices)):\n",
    "                    for el in g.vertices[self.vertex_names[i]]:\n",
    "                        j = g.vertex_indices[el]\n",
    "                        self.adjacency_matrix[i,j] = 1\n",
    "            return self.adjacency_matrix\n",
    "        else:\n",
    "            return dict()              \n",
    "                        \n",
    "\n",
    "def graph(g):\n",
    "    \"\"\" Function to print a graph as adjacency list and adjacency matrix. \"\"\"\n",
    "    return str(g.adjacencyList()) + '\\n' + '\\n' + str(g.adjacencyMatrix())\n",
    "\n",
    "###################################################################################\n",
    "\n",
    "a = Vertex('A')\n",
    "b = Vertex('B')\n",
    "c = Vertex('C')\n",
    "d = Vertex('D')\n",
    "e = Vertex('E')\n",
    "\n",
    "a.add_neighbors([b,c,e]) \n",
    "b.add_neighbors([a,c])\n",
    "c.add_neighbors([b,d,a,e])\n",
    "d.add_neighbor(c)\n",
    "e.add_neighbors([a,c])\n",
    "        \n",
    "        \n",
    "g = Graph()\n",
    "print graph(g)\n",
    "print \n",
    "g.add_vertices([a,b,c,d,e])\n",
    "g.add_edge(b,d)\n",
    "print\n",
    "print graph(g)"
   ]
  }
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