In computer science, the term „Celebrity“ can refer to a concept in graph theory, particularly in social network analysis. A „celebrity“ in a social network is defined as a person (node) who is known by everyone else but does not know anyone else. In a network where nodes represent individuals and edges represent relationships or knowledge of one another, a celebrity has the following characteristics:
1. The celebrity is connected (by edges) to all other nodes, indicating that everyone knows them.
2. The celebrity has no outgoing edges to any other nodes, meaning they do not know anyone else in the network.
This concept can be used in various algorithms, such as the „celebrity problem,“ where the task is to identify whether a celebrity exists in a group and, if so, to determine who they are, often using techniques that optimize the search process to minimize the number of queries needed. The celebrity concept is often utilized in studies of social influence, information dissemination, and network topology.
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