Description: A quasi-complete graph is a type of graph characterized by having a large number of edges, but not all possible ones. Formally, a graph is considered quasi-complete if, for a set of n vertices, it has at least n-1 edges but does not reach the maximum number of edges, which would be n(n-1)/2, corresponding to a complete graph. This structure allows the graph to maintain high connectivity, meaning that most vertices are interconnected, facilitating communication and the flow of information among them. Quasi-complete graphs are relevant in various fields of study, as their configuration allows for the analysis of networks with a high density of connections while still presenting certain limitations or restrictions. This characteristic makes them useful for modeling situations where a robust network structure is desired, but without the need for total connectivity among all nodes. In summary, quasi-complete graphs are a valuable tool in graph theory, providing a balance between connectivity and structural simplicity.
