Types of graphs discrete math

The following is a list of simple graph types that we are going to explore. Therefore the number of edges of the given graph is amultiple of k.

Graph Theory Discrete Mathematics Types Of Graphs

Let us discuss each one them.

. The directed graph can be made with the help of a set of vertices which are connected with the directed edges. At vertex 2 is a self-loop graph. Special graphs Simple graph A graph without loops or parallel edges.

Discrete Mathematics II Spring 2015 102 Graph Terminology and Special Types of Graphs Undirected Graph AdjacentNeighbors and Incident Edge Two vertices u and v in an. That means two different graphs can have the same number of edges vertices and same edges connectivity. Directed graphs digraphs G is a directed graph or digraph if each edge has been associated with an ordered pair of vertices ie.

Introduction of Graphs Types of Graphs Representation of Graphs Isomorphic and Homeomorphic Graphs Regular and Bipartite Graphs Planar and Non-Planar Graphs Dijkstras Algorithm Travelling Salesman Problem. If we draw graph in the plane without edge crossing it is called embedding the graph in the plane. A few of the graphs in discrete mathematics are given below.

Graph isomorphism in Discrete Mathematics. Charts are one of the things to study in discrete mathematics. The directed graph and undirected graph are described as follows.

The handshake theorem is also introducedTextbook. A complete graph on n vertices denoted by is a simple. In a graph multigraph refers to edges that can connect the same vertices over more than one edge.

A subgraph H of G is a proper subgraph of G if H 6G. Weighted graph A graph where each edge is assigned a numerical label or weight. 3 SPECIAL TYPES OF GRAPHS.

Each edge has a direction 7. The union of G 1 and G 2 is denoted by G. Non-planar graph A graph is non-planar if it cannot be drawn in a plane without graph edges crossing.

Introduction to cycles wheels complete graphs hypercubes and bipartite graphs including using the graph coloring technique to determine if a graph is bip. In a graph G an edge having the same vertex at both the end of the vertices is called the self-loop graph. A survey was carried out of 30 students of a class VI.

Discussion of common terminology associated with directed and undirected graphs. Solved Examples Types of Graphs. If every vertex of a simple graph has the same degree then the graph is called a regular graph.

Planar graph A graph G is called a planar graph if it can be drawn in a plane without any edges crossed. The edges can be directed or undirected. Discrete Mathematics II Spring 2015 Subgraphs A subgraph of a graph G VE is a graph H WF where W V and F E.

In a graph ____ refers to edges that can connect the same vertices over more than one edge. Graph Union The union of two simple graphs G 1 V 1E 1 and G 2 V 2E 2 is the simple graph with vertex set V 1 V 2 and edge set E 1 E 2. These types of graphs are known as isomorphism graphs.

Simple and Multi Graph. The isomorphism graph can be described as a graph in which a single graph can have more than one form. Graph theory in Discrete Mathematics.

There are basically two types of graphs ie Undirected graph and Directed graph. If in a graph the set of vertices are V 1 2 3 4 and the edges E are 1 2 2 2 2 3 3 4 the edge 2 2 has the same starting and end point ie. If every vertex in a regular graph has degree kthen the graph is called k-regular.

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Types Of Graphs Discrete Mathematics Lectures