![]() If there are no repeated vertices, then the directed path will be simple. The directed path will not contain repeated edges. Where, the edge is pointing from each vertex in the sequence to its successor in the sequence. The directed path in a directed graph can be described as a sequence of vertices and a directed edge.The in-degree of a vertex can be described as the number of edges pointing to it. The out-degree of a vertex can be described as the number of edges pointing from it. The number of an edge can also be known as the length of a cycle or path. If two edges of a graph connect with the same ordered pair of vertices, these edges will be in parallel.The sub-graph is a type of subset of the directed graph's edge that constitutes a directed graph. The self-loop can be described as an edge that connects a vertex to itself.These definitions are described as follows: While using a graph, there are some definitions that we should know about them and will be useful for us. In case of Airports, the airports will be represented by the nodes and lights between airports will be represented by the edges. Airports and Web page linking are a good example of it. With the help of a graph, we are able to model a wide variety of systems. In the graph, the people will be represented with the help of nodes, and friendship will be represented with the help of edges. For example: with the help of a graph, we can model the friendship of a social network, for instance. In various applications, the nodes and edges have different definitions. Because of this, various terminologies are created. There are different formal definitions for different types of graphs on the basis of the edge. The edge of the graph sometimes contains the Weights, which is used to show the strength of each connection between vertices. According to the direction of arrow, the graph will traverse. Arrow (→) is used to represent the edges. The edges can be referred to as the connections between objects. The nodes can be described as the vertices that correspond to objects. It consists of the non-empty set where edges are connected with the nodes or vertices. The graph is a mathematical and pictorial representation of a set of vertices and edges. After that, we will learn about the directed graph and undirected graph. To learn the directed graph and undirected graph in discrete mathematics, we will first learn about the graph. Next → ← prev Directed and Undirected graph in Discrete Mathematics ![]()
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