9.3. The Graph Abstract Data Type

The graph abstract data type (ADT) is defined as follows:

Beginning with the formal definition for a graph there are several ways we can implement the graph ADT in Python. We will see that there are trade-offs in using different representations to implement the ADT described above. There are two well-known implementations of a graph, the adjacency matrix and the adjacency list. We will explain both of these options, and then implement one as a Python class.

    Q-1: Drag and drop each graph abstract data type to its corresponding definition. This is feedback.
  • Graph()
  • creates a new, empty graph.
  • addVertex(vert)
  • adds an instance of Vertex to the graph.
  • addEdge(fromVert, toVert)
  • Adds a new, directed edge to the graph that connects two vertices.
  • addEdge(fromVert, toVert, weight)
  • Adds a new, weighted, directed edge to the graph that connects two vertices.
  • getVertex(vertKey)
  • finds the vertex in the graph named vertKey.
  • getVertices()
  • returns the list of all vertices in the graph.
  • in
  • returns True for a statement of the form vertex in graph, if the given vertex is in the graph, False otherwise.
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