The Friendship Adjacency List Analysis
The Correct Statement from the Adjacency List
An Example of an Adjacency List
An adjacency list is utilized in graph theory and computer science to describe a finite graph. It consists of unordered lists that represent a vertex and its adjacent vertices or edges. Each vertex is followed by a list of adjacent vertices, indicating their immediate connections. While this method is space-efficient, searching can be slow with a time complexity of O(n). When comparing an array and a list, a hash table offers a balance between efficiency and space complexity. Despite the need to handle collisions during searching, it requires less space than storing all vertices directly.Final Analysis
The adjacency list reveals that Bob is directly friends with Hank, Rita can introduce Bella to Tina, and Hank can introduce Tim to Bob. Notably, Harry is not directly friends with Rody based on the provided data. Explanation: The adjacency list depicts a network of friendships, presenting a graph where vertices symbolize individuals and edges signify friendships. Through this graphical representation, we can comprehend the dynamics of relationships among the listed people. By examining the adjacency list, we aim to discern accurate details about direct friendships and potential connections. Here are the key findings derived from the adjacency list: - Harry is not directly friends with Rody, as Harry's adjacent vertices are Tim and Bob. - Bob shares a direct friendship with Hank, as indicated by their adjacent vertices. - Rita has the ability to introduce Bella to Tina by virtue of her friendship with Tina and Tina's connection with Bella. - Hank possesses the capacity to introduce Tim to Bob, given his friendships with both individuals.What is the significance of an adjacency list in graph theory and computer science?
An adjacency list serves as a fundamental tool in graph theory and computer science for representing finite graphs. It enables the visualization of relationships between vertices by organizing them in unordered lists of adjacent vertices. While offering space efficiency, the adjacency list may result in slower search operations compared to other data structures.