Graphs | Vertex & Graph implementations

DIRECTORY.md

@@ -195,7 +195,15 @@
     * [Default Dicts](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/dicts/default_dicts.py)
     * [Ordered Dict](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/dicts/ordered_dict.py)
   * Graphs
-    * [Edge](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge.py)
+    * Edge
+      * [Edge](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge.py)
+      * [Edge Directed](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge_directed.py)
+      * [Edge Hyper](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge_hyper.py)
+      * [Edge Self](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge_self.py)
+      * [Edge Type](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge_type.py)
+      * [Edge Undirected](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/edge/edge_undirected.py)
+    * [Graph](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/graph.py)
+    * [Test Vertex](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/test_vertex.py)
     * [Vertex](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/graphs/vertex.py)
   * Hashmap
     * [Test Hashmap](https://github.com/BrianLusina/PythonSnips/blob/master/datastructures/hashmap/test_hashmap.py)

datastructures/graphs/__init__.py

@@ -1,230 +1,14 @@
-from abc import ABC, abstractmethod
-from collections import defaultdict
-from pprint import PrettyPrinter
-from typing import List, Set, Union, Generic, TypeVar
-from datastructures.stacks import Stack
 from .vertex import Vertex
-from .edge import Edge
-
-T = TypeVar("T")
-
-
-class Graph(ABC, Generic[T]):
-    """
-    Represents a Graph Data structure
-    """
-
-    def __init__(self, edge_list: List[Edge] = None):
-        if edge_list is None:
-            edge_list = []
-        self.edge_list = edge_list
-        self.adjacency_list = defaultdict(List[Vertex])
-        self.__construct_adjacency_list()
-        self.nodes = []
-        self.node_count = len(self.nodes)
-
-    def add(self, node_one: Vertex, node_two: Vertex):
-        """
-        Adds a connection between node_one and node_two
-        """
-        node_one.neighbours.append(node_two)
-        node_two.neighbours.append(node_one)
-        edge = Edge(source=node_one, destination=node_two)
-        self.edge_list.append(edge)
-        self.adjacency_list[node_one].append(node_two)
-        self.adjacency_list[node_two].append(node_one)
-        self.nodes.append(node_one)
-        self.nodes.append(node_two)
-
-    def __construct_adjacency_list(self):
-        """
-        Construct adjacency list
-        """
-        for edge in self.edge_list:
-            self.adjacency_list[edge.source].append(edge.destination)
-
-    @abstractmethod
-    def bfs_from_root_to_target(self, root: Vertex, target: Vertex) -> Set[Vertex]:
-        """
-        Given the root node to traverse and a target node, returns the BFS result of this Graph from the root node to
-        the target node
-        """
-        raise NotImplementedError("Not yet implemented")
-
-    @abstractmethod
-    def bfs_from_node(self, source: Vertex) -> Set[Vertex]:
-        """
-        Given the source to traverse, returns the BFS result of this Graph from the source node
-        """
-        raise NotImplementedError("Not yet implemented")
-
-    def topological_sorted_order(self) -> List[Vertex]:
-        """
-        Returns the topological sorted order of the Graph
-        """
-        # These static variables are used to perform DFS recursion
-        # white nodes depict nodes that have not been visited yet
-        # gray nodes depict ongoing recursion
-        # black nodes depict recursion is complete
-        # An edge leading to a BLACK node is not a "cycle"
-        white = 1
-        gray = 2
-        black = 3
-
-        # Nothing to do here
-        if self.node_count == 0:
-            return []
-
-        is_possible = True
-        stack = Stack()
-
-        # By default all nodes are WHITE
-        visited_nodes = {node: white for node in range(self.node_count)}
-
-        def dfs(node: Vertex):
-            nonlocal is_possible
-
-            # Don't recurse further if we found a cycle already
-            if not is_possible:
-                return
-
-            # start recursion
-            visited_nodes[node] = gray
-
-            # Traverse on neighbouring nodes/vertices
-            if node in self.adjacency_list:
-                for neighbour in self.adjacency_list[node]:
-                    if visited_nodes[neighbour] == white:
-                        dfs(node)
-                    elif visited_nodes[node] == gray:
-                        # An Edge to a Gray vertex/node represents a cycle
-                        is_possible = False
-
-            # Recursion ends. We mark if as BLACK
-            visited_nodes[node] = black
-            stack.push(node)
-
-        for node in self.nodes:
-            # if the node is unprocessed, then call DFS on it
-            if visited_nodes[node] == white:
-                dfs(node)
-
-        return list(stack.stack) if is_possible else []
-
-    def print(self):
-        pretty_print = PrettyPrinter()
-        pretty_print.pprint(self.adjacency_list)
-
-    def remove(self, node: Vertex) -> None:
-        """
-        Removes all references to a node
-        :param node
-        """
-        for _, cxns in self.adjacency_list.items():
-            try:
-                cxns.remove(node)
-            except KeyError:
-                pass
-
-        try:
-            del self.adjacency_list[node]
-        except KeyError:
-            pass
-
-    def is_connected(self, node_one: Vertex, node_two: Vertex) -> bool:
-        return (
-            node_one in self.adjacency_list
-            and node_two in self.adjacency_list[node_two]
-        )
-
-    def find_path(
-        self, node_one: Vertex, node_two: Vertex, path=None
-    ) -> Union[List, None]:
-        """
-        Find any path between node_one and node_two. May not be the shortest path
-        :param node_one
-        :param node_two
-        :param path
-        """
-
-        if path is None:
-            path = []
-        path = [path] + [node_one]
-
-        if node_one.data == node_two.data:
-            return path
-
-        if node_one.data not in self.adjacency_list:
-            return None
-
-        for node in self.adjacency_list[node_one]:
-            if node.data not in path:
-                new_path = self.find_path(node, node_two, path)
-
-                if new_path:
-                    return new_path
-
-        return None
-
-    def find_all_paths(
-        self, node_one: Vertex, node_two: Vertex, path: List = None
-    ) -> list:
-        """
-        Finds all paths between node_one and node_two, where node_one is the start & node_two is the end
-        :param node_one Graph Node
-        :param node_two Graph Node
-        :param path
-        """
-        if path is None:
-            path = []
-        path = path + [node_one]
-
-        if node_one.data == node_two.data:
-            return [path]
-
-        if node_one.data not in self.adjacency_list:
-            return []
-
-        paths = []
-
-        for node in self.adjacency_list[node_one.data]:
-            if node not in path:
-                newpaths = self.find_all_paths(Vertex(node), node_two, path)
-                for newpath in newpaths:
-                    paths.append(newpath)
-
-        return paths
-
-    def find_shortest_path(
-        self, node_one: Vertex, node_two: Vertex, path: List = None
-    ) -> Union[List, None]:
-        """
-        Finds the shortest path between 2 nodes in the graph
-        """
-        if path is None:
-            path = []
-
-        path = path + [node_one]
-
-        if node_one.data == node_two.data:
-            return path
-
-        if node_one.data not in self.adjacency_list:
-            return None
-
-        shortest = None
-
-        for node in self.adjacency_list[node_one]:
-            if node.data not in path:
-                newpath = self.find_shortest_path(node, node_two, path)
-                if newpath:
-                    if not shortest or len(newpath) < len(shortest):
-                        shortest = newpath
-
-        return shortest
-
-    def __str__(self):
-        """
-        Return string representation of this Graph
-        """
-        return f"Graph: {self.adjacency_list}"
+from .edge import Edge, EdgeType, DirectedEdge, UndirectedEdge, SelfEdge, HyperEdge
+from .graph import Graph
+
+__all__ = [
+    "Edge",
+    "EdgeType",
+    "Vertex",
+    "Graph",
+    "UndirectedEdge",
+    "DirectedEdge",
+    "SelfEdge",
+    "HyperEdge",
+]

datastructures/graphs/edge/__init__.py

@@ -0,0 +1,15 @@
+from .edge import Edge
+from .edge_type import EdgeType
+from .edge_undirected import UndirectedEdge
+from .edge_directed import DirectedEdge
+from .edge_self import SelfEdge
+from .edge_hyper import HyperEdge
+
+__all__ = [
+    "Edge",
+    "EdgeType",
+    "UndirectedEdge",
+    "DirectedEdge",
+    "SelfEdge",
+    "HyperEdge",
+]

datastructures/graphs/edge/edge.py

@@ -0,0 +1,36 @@
+from abc import ABC, abstractmethod
+from typing import AnyStr, Union
+from .edge_type import EdgeType
+from typing import Any, Dict, Optional, Generic, TypeVar, List
+from uuid import uuid4
+
+T = TypeVar("T")
+
+class Edge(ABC, Generic[T]):
+    """
+    Edge representation of an abstract Edge in a Graph
+    """
+
+    def __init__(
+        self,
+        weight: Optional[Union[int, float]] = None,
+        properties: Optional[Dict[str, Any]] = None,
+        identifier: AnyStr = uuid4(),
+    ):
+        self.id = identifier
+        self.weight = weight
+        self.properties = properties
+
+    def __str__(self):
+        return f"Id: {self.id}, Weight: {self.weight}, Properties: {self.properties}"
+
+    @abstractmethod
+    def edge_type(self) -> EdgeType:
+        raise NotImplementedError("Not implemented")
+
+    def is_unweighted(self) -> bool:
+        return self.weight is None
+
+    @abstractmethod
+    def vertices(self) -> List[Any]:
+        raise NotImplementedError("Not implemented")

datastructures/graphs/edge/edge_directed.py

@@ -0,0 +1,28 @@
+from typing import AnyStr, Union, Dict, Optional, Generic, TypeVar, List, Any
+from uuid import uuid4
+from .edge_type import EdgeType
+from .edge import Edge
+
+T = TypeVar("T")
+
+class DirectedEdge(Edge, Generic[T]):
+    """
+    Directed Edge representation of a directed Edge in a Graph where the edge connects two vertices which has a source
+    vertex and a destination vertex.
+    """
+
+    def __init__(self, source: Any, destination: Any, weight: Optional[Union[int, float]] = None,
+                 properties: Optional[Dict[str, Any]] = None,
+                 identifier: AnyStr = uuid4()):
+        super().__init__(weight, properties, identifier)
+        self.source = source
+        self.destination = destination
+
+    def __str__(self):
+        return f"{super().__str__()}, Source: {self.source}, Destination: {self.destination}"
+
+    def edge_type(self) -> EdgeType:
+        return EdgeType.DIRECTED
+
+    def vertices(self) -> List[Any]:
+        return [self.source, self.destination]