class Edge: def getStartVertex(self): return self.startVertex def setStartVertex(self, startVertex): self.startVertex = startVertex; def getEndVertex(self): return self.endVertex def setEndVertex(self, endVertex): self.endVertex = endVertex def getValue(self): return self.value def setValue(self, value): self.value = value def insertVertex(vertices, vertex): vertices.append(vertex) def insertEdge(edgeList, vertex1, vertex2, edgeVal): edge = Edge() edge.setStartVertex(vertex1) edge.setEndVertex(vertex2) edge.setValue(edgeVal) edgeList.append(edge) def printEdgeList(edgeList): for edge in edgeList: print("The Edge between", edge.getStartVertex(), "and", edge.getEndVertex(), "is", edge.getValue()) vertices = [] # Adding vertices one by one insertVertex(vertices, "a") insertVertex(vertices, "b") insertVertex(vertices, "c") insertVertex(vertices, "d") insertVertex(vertices, "e") edgeList = [] # Adding edges with values. insertEdge(edgeList, "a", "b", "13A") insertEdge(edgeList, "b", "a", "45C") insertEdge(edgeList, "a", "d", "20F") insertEdge(edgeList, "d", "e", "23E") insertEdge(edgeList, "e", "b", "12B") insertEdge(edgeList, "e", "c", "30F") insertEdge(edgeList, "c", "d", "42V") insertEdge(edgeList, "a", "c", "18C") printEdgeList(edgeList)
In the Edge List Data Structure, we are trying to create a Linked List of Edges.
Where each Edge will contain the start vertex, end vertex and value of the Edge.
Say for Example, the first element of the Edge Linked List i.e. Bus number 13A, travels from city/Vertex a to city/Vertex b.
So, we will be having two pointers in the first element of Edge Linked List,
And thus, we have constructed an Edge class that contains, start vertex, end vertex and value of the Edge.
class Edge: def getStartVertex(self): return self.startVertex def setStartVertex(self, startVertex): self.startVertex = startVertex; def getEndVertex(self): return self.endVertex def setEndVertex(self, endVertex): self.endVertex = endVertex def getValue(self): return self.value def setValue(self, value): self.value = value
We have 2 methods in the Code :
The first method is quite easy to understand.
def insertVertex(vertices, vertex): vertices.append(vertex)
Let us take the vertex a to understand the above method.
So, we have created a Array that would contain all the vertices :
vertices = []
Then we have taken the vertex a and passed it to the def insertVertex(...) method.
insertVertex(vertices, "a")
And if we see the void insertVertex(...) method, we would see it accepts two parameters,
vertices
and
vertex.
It is quite self explanatory, vertices contains the actual Array that contains the vertices and vertex contains the vertex a.
And we just have one statement in the def insertVertex(...) method.
vertices.append(vertex)
That takes each vertex a and adds to the Linked List.
After adding all the vertices to the LinkedList, we get the below LinkedList.
Then comes the second method, that adds the edges to the Linked List(with values). Justifying the name Edge List Data Structure.
def insertEdge(edgeList, vertex1, vertex2, edgeVal): edge = Edge() edge.setStartVertex(vertex1) edge.setEndVertex(vertex2) edge.setValue(edgeVal) edgeList.append(edge)
We will take a small chunk to explain the above method.
Where the bus/edge 13A is traveling from city a to city b.
Now, we have created a Linked List that would store all the edges in that Linked List.
edgeList = []
Next, we will pass the edgeList, the start vertex(i.e. a), end vertex(i.e. b) and the value(i.e. 13A) to the def insertEdge(...) method.
insertEdge(edgeList, "a", "b", "13A")
Now, let us come to the contents of def insertEdge(...) method.
In the first line, we have created the Edge object,
edge = Edge()
Then, initialised the attributes of the Edge object with the actual values,
edge.setStartVertex(vertex1) edge.setEndVertex(vertex2) edge.setValue(edgeVal)
And the Edge object looks somewhat like this,
And add the above edge object to the Linked List,
edgeList.append(edge)
After adding all the edges to the Linked List, we get the below Linked List.