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A complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. Learn about its properties, notation, geometry, topology, and applications in graph theory and combinatorics.
A complete graph is a graph in which each pair of vertices is connected by an edge. Learn about the adjacency matrix, chromatic polynomial, graph genus, and other properties of complete graphs, as well as related graphs and topics.
Mar 1, 2023 · 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.
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Jul 12, 2021 · 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 simple undirected 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 $$\frac{n(n-1)}{2}$$ edges.
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.
