Search results
Jul 20, 2022 · In graph theory, a clique is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent, that is, they are connected by an edge of the graph. The number of cliques in a graph is the total number of cliques that can be found in the graph.
In the mathematical area of graph theory, a clique ( / ˈkliːk / or / ˈklɪk /) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. That is, a clique of a graph is an induced subgraph of that is complete.
Feb 16, 2023 · This graph has three cliques: {1, 2, 3}, {3, 4, 5}, and {1, 2, 4, 5}. To find the number of cliques in a graph, graph traversal algorithms such as depth-first search (DFS) or breadth-first search (BFS) can be used to visit all the vertices and check for cliques at each vertex.
5 days ago · A clique of a graph is a complete subgraph of , and the clique of largest possible size is referred to as a maximum clique (which has size known as the (upper) clique number ). However, care is needed since maximum cliques are often called simply "cliques" (e.g., Harary 1994).
A clique is a subset of vertices of an undirected graph G such that every two distinct vertices in the clique are adjacent; that is, its induced subgraph is complete. Cliques are one of the basic concepts of graph theory and are used in many other mathematical problems and constructions on graphs.
A clique in graph theory is an interesting concept with a lot of depth to explore. We define the term and give some examples in today's math video lesson! A clique C of a graph G is...
Oct 9, 2023 · Cliques are a key issue in graph theory that is used to solve numerous mathematical issues and create graphs. Cliques are extensively researched in the field of computer science, with the clique problem assessing if a clique having a certain size within a graph is NP-complete.
