DeleteEdge

DeleteEdge is a function commonly used in graph theory and computer science to remove an edge from a graph. An edge in a graph represents a connection between two vertices (nodes). The deleteEdge function takes two parameters: the graph and the edge to be removed. The graph can be represented in various ways, such as an adjacency list, adjacency matrix, or edge list. The edge is typically specified by the two vertices it connects.

The deleteEdge function operates by locating the specified edge in the graph's data structure and removing it. This process involves updating the graph's representation to reflect the absence of the edge. For example, in an adjacency list, the function would remove the reference to the target vertex from the source vertex's list. In an adjacency matrix, the function would set the corresponding cell to zero or another indicator of no connection.

The deleteEdge function is a fundamental operation in graph algorithms and data structures. It is used in various applications, such as network analysis, social network analysis, and computer networking. For instance, in a social network, deleting an edge could represent the removal of a friendship or connection between two individuals.

The deleteEdge function is typically implemented as a method within a graph class or as a standalone function that takes a graph object as a parameter. The function may also include error handling to manage cases where the specified edge does not exist in the graph.