Definitions. A graph in which every edge is directed edge is called a digraph or directed graph. A unidirectional graph is another name for an undirected graph. The union of G 1 and G 2 is denoted by G 1 ∩ G 2. Meaning of undirected graph. Mathematically, this can be explained as: Let G be a graph with vertex set {v 1 , v 2 , v 3 , . Undirected Graph: A graph in which every edge is undirected edge is called an undirected graph. Graph (Undirected) Union Graph The union of two simple graphs G 1 = (V 1, E 1) and G 2 = (V 2, E 2) is the simple graph with vertex set V 1 ∩ V 2 and edge set E 1 ∩ E 2. Undirected definition is - not directed : not planned or guided. Undirected graph definition: An undirected graph is a set of nodes and a set of links between the nodes. A self-loop is an edge that connects a vertex to itself. We use the names 0 through V-1 for the vertices in a V-vertex graph. https://www.baeldung.com/cs/graphs-directed-vs-undirected-graph How to use undirected in a sentence. What does undirected graph mean? For an undirected graph, the value a ij = a ji for all i, j , so that the adjacency matrix becomes a symmetric matrix. In a directed graph the order of the vertices in the pairs in the edge set matters. Two vertices u, v in an undirected graph G are called adjacent (or neighbors) in G if there is an edge e between u and v. Such an edge e is called incident with the vertices u and v and e is said to connect u and v. Definition … Here are some definitions that we use. Mixed Graph: If some edges are directed and some are undirected in a graph, the graph is called an mixedgraph. Graph characteristics: Undirected graphs Definition 1. 4.1 Undirected Graphs. A bidirectional graph is a directed graph obtained from an undirected graph by replacing each edge $\{x,y\}$ by a pair of edges $(x,y),(y,x)$. Definition of undirected graph in the Definitions.net dictionary. Information and translations of undirected graph in the most comprehensive dictionary definitions resource on the web. The order of the two connected vertices is unimportant. Each node is called a vertex, each link is called an edge, and each edge connects two vertices. . Directed Graphs. A clique, C, in an undirected graph G = (V, E) is a subset of the vertices, C ⊆ V, such that every two distinct vertices are adjacent.This is equivalent to the condition that the induced subgraph of G induced by C is a complete graph.In some cases, the term clique may also refer to the subgraph directly. , v n }, then the adjacency matrix of G is the n × n matrix that has a … Glossary. Graphs. A graph is a set of vertices and a collection of edges that each connect a pair of vertices. Undirected graphs usually are drawn with straight lines between the vertices. . Dr. Mahfuza Farooque (Penn State) Discrete Mathematics: Lecture 33 April 4, 2016 10 / 19 The adjacency relation is symetric in an undirected graph, so if u ~ v then it is also the case that v ~ u. An undirected graph is a finite set of vertices together with a finite set of edges.