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In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction).
A complete graph is a graph in which each pair of graph vertices is connected by an edge. The complete graph with n graph vertices is denoted K_n and has (n; 2)=n (n-1)/2 (the triangular numbers) undirected edges, where (n; k) is a binomial coefficient.
A complete graph is an undirected graph in which every pair of distinct vertices is connected by a unique edge. In other words, every vertex in a complete graph is adjacent to all other vertices. A complete graph is denoted by the symbol K_n, where n is the number of vertices in the graph.
Definition: Complete Graph. A (simple) graph in which every vertex is adjacent to every other vertex, is called a complete graph. If this graph has \(n\) vertices, then it is denoted by \(K_n\). The notation \(K_n\) for a complete graph on \(n\) vertices comes from the name of Kazimierz Kuratowski, a Polish mathematician who lived from 1896–1980.
A complete graph is a type of graph in which every pair of distinct vertices is connected by a unique edge. This means that in a complete graph, there are no missing connections, making it a fully connected structure.
A complete graph is a type of graph in which every pair of distinct vertices is connected by a unique edge. This means that there are no missing edges, making the complete graph the densest possible graph for a given number of vertices.
Definition. A complete graph is a type of graph in which every pair of distinct vertices is connected by a unique edge. This means that if there are 'n' vertices in the graph, there are exactly $ rac{n(n-1)}{2}$ edges.