share | cite | improve this answer | follow | | | | answered Jun 29 '18 at 15:36. 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. The size of the clique represents the number of vertices that are fully connected.

Clique. A clique of a graph is a complete subgraph of , and the clique of largest possible size … A clique is a group of vertices that have an edge with every single other vertex in the clique. That is, one might say that a graph "contains a clique" but it's much less common to say that it "contains a complete graph". A complete graph is a graph with every possible edge; a clique is a graph or subgraph with every possible edge.

It is essentially a subgraph that is fully connected. David Richerby David Richerby.

Cliques are one of the basic concepts of graph theory and are used in many other mathematical problems and constructions on graphs.

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