Table of Contents
Some important Graph
1-Complete Graph:A simple connected graph is said to be complete if each vertex is connected to every other vertex.
Example
![complete graph](https://nielitbhu.com/wp-content/uploads/2024/04/complete-graph.jpg)
2-Regular Graph: A graph G is said to be regular if every vertex has the same degree if degree of each vertex of graph G is K , then it is called K-regular graph.
Example
![Regular](https://nielitbhu.com/wp-content/uploads/2024/04/Regular.jpg)
3-Bigraph(or Bipartite): If the vertex set V of a graph G can be partitioned into two non-empty disjiont subsets X and Y in such a way that edge of a G has one end in X and one end in Y than G is called bipartite.
![](https://nielitbhu.com/wp-content/plugins/elementor/assets/images/placeholder.png)
4-Connected Graph: An undirected graph is said to be connected if there is a path between everytwo vertices.
![connected graph](https://nielitbhu.com/wp-content/uploads/2024/04/connected-graph-1024x459.jpg)
Note: If a graph is connected then it will not bipartite.
5-Complete Bipartite Graph: If every vertex in X is disjiont is every vertex in Y, then it is called a complete bipartite graph.
If X and Y condition m & n vertices then this graph is denoted by Kmn.
![](https://nielitbhu.com/wp-content/plugins/elementor/assets/images/placeholder.png)
6-Subgraph: Let G(V,E) be a graph ,let V be a subset of V and let E be a subset of E whose end point belong to V Then G (V,E) is graph & called a subgraph of G(V,E)
![subgraph](https://nielitbhu.com/wp-content/uploads/2024/04/subgraph-1024x459.jpg)
7-Decompostion of Graph: A graph is said to be decomposed into two subgraph G1 and G2
if G1 V G2 =G and G1 ^ G2= null graph.
![](https://nielitbhu.com/wp-content/plugins/elementor/assets/images/placeholder.png)
8-Complement of Graph : Complement of a graph G is defined as a simple graph with the same vertex set as G and where two vertices U and V are adjacent only where they are not adjacent in G.
Example
![complete of graph](https://nielitbhu.com/wp-content/uploads/2024/04/complete-of-graph.jpg)
9-Planare Graph: A graph which can be drawn in the plane so that its edges do not cross is called planase.
![planare](https://nielitbhu.com/wp-content/uploads/2024/04/planare.jpg)