## 07 Jan directed and undirected graph in data structure

Edge: An edge is a connecting link between two vertices. An undirected graph simply represents edges as lines between the nodes. In Undirected Graph have unordered pair of edges.In Directed Graph, each edge(E) will be associated with directions.So, directed Graph … So it is divided into directed graph and undirected graph; The storage structure of graphs generally includes adjacency matrix and adjacency table. PolyTree is a directed graph without any undirected cycles. However, in an undirected graph, edges are not associated with the directions with them. Basic Terminology in a graph. Given an undirected or a directed graph, implement graph data structure in C++ using STL. If the connecting edges in a graph are undirected, then the graph is called an undirected graph, and if the connecting edges in a graph are directed, then it is called a directed graph. A graph is a non-linear data structure. The graph shown above is an undirected graph. Mixed Graph: A graph with undirected and directed edges is said to be a mixed graph. Imagine graphs as a set of pumps( the circles) which can send liquid to others when are connected.In directed graphs the arrow show from where it comes and where the liquid (data) goes and in undirected graph it goes from both ways.Also a directed graph can have multiple arrows between two vertices(the pumps ) depending always on the graph. Graphs are represented by the edges between the nodes. This is also the reason, why there are two cells for every edge in the sample. A graph can be directed or undirected. Loops, if they are allowed in a graph, correspond to the diagonal elements of an adjacency matrix. A directed acyclic graph is directed graph without any directed cycles. Quantifying the Graph Degree of a Vertex. Vertex: An individual data element of a graph is called Vertex. When writing test questions, the connection matrix generally has a large memory redundancy, so adjacency table is generally used. Referred by its short name DAG. Adjacency list associates each vertex in the graph with the collection of its neighboring vertices or edges. A graph can be defined as a collection of Nodes which are also called “vertices” and “edges” that connect two or more vertices. Directed graphs are more informative than corresponding undirected graphs when the network is sparse. This means that if we treat a sparse directed graph as undirected we probably lose information Directed graphs apply well to model relationships which are directional and not reciprocal in … Implement for both weighted and unweighted graphs using Adjacency List representation of the graph. Degree of vertex is the number of lines associated with it. A Graph is a collection of Vertices(V) and Edges(E). Directed And Undirected Graph. In general, the space for the adjacency list representation is $\Theta(V+E)$; this fact holds for all graphs, regardless of how many edges they have. Graph in data structure 1. Forest. Indeed, in undirected graph, if there is an edge (2, 5) then there is also an edge (5, 2). A graph G is defined as follows: G=(V,E) V(G): a finite, nonempty set of vertices E(G): a set of edges (pairs of vertices) 2Graph An undirected graph is shown in the above figure since its edges are not attached with any of the directions. An Edge is also known as Arc. A graph in which the edges do not have directions is called the Undirected graph. Origin: If an edge is directed, its first endpoint is said to be the origin of it. Data Structure Graph 2. The connecting edges can be considered directed or undirected. There are other graphs that aren't complete, and have fewer edges than the complete graph. 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