Types Of Graph In Discrete Mathematics

A null graph has no edges.

Types of graph in discrete mathematics. The set of points are called as nodes and the set of lines as edges. Directed and undirected graph. Multigraphs may have multiple edges connecting the same two vertices. 1graphs graph models.

Complete graph a simple graph g is said to be complete if every vertex in g is connected with every other vertex i e. Other graphs with large automorphism groups. An undirected graph consists of a set of vertices and a set of edges while a directed graph consists of a set of vertices and a set of arcs. Petersen graph and its generalizations.

In the areas of mathematics engineering and computer science the study of graph is very important. Set of edges in a null graph is. The two different structures of discrete mathematics are graphs and trees. Basic types of graphs.

Graphs are one of the prime objects of study in discrete mathematics. 4 euler hamiltonian graph. 1 graph graph models. Also called an empty graph a null graph is a graph in which there are no edges between any of its vertices.

Strongly regular graphs and their generalizations distance regular. Hauskrecht terminology an i simple graph each edge connects two different vertices and no two edges connect the same pair of vertices. Types of graphs 1 null graph a graph which contains only isolated node is called a null graph i e. In mathematics and more specifically in graph theory a vertex or node is the fundamental unit of which graphs are formed.

The null graph of n vertices is denoted by n n. Connected and disconnected graph. More advanced kinds of graphs are. Vertex transitive arc transitive and distance transitive graphs.

Discrete mathematics graphs. A graph in which there is a path of edges between every pair of vertices in the graph. Directed graphs undirected graphs cs 441 discrete mathematics for cs a c b c d a b m. 3 special types of graphs.

The set of lines interconnect the set of points in a graph.