In this article, we are going to see Star Graph using Networkx Python. A Star graph is a special type of graph in which n-1 vertices have degree 1 and a single vertex have degree n – 1. This looks like that n – 1 vertex is connected to a single central vertex. A star graph with total n – vertex is termed as Sn.
Properties of Star Graph:
- It has n+1 vertices.
- It has n edges.
- It does not have any cycle.
- The diameter of a star graph Sn is a minimum of (2, n).
- A Star graph is a tree.
- It has no unconnected component.
- The chromatic number of the star graph is a minimum of (2, n + 1).
Example of S10 :
S10
Example of S6 :
S6
Approach:
- We will import the required networkx module
- After that, we will initialize a number of nodes to 6.
- We will create graph object G using star_graph() function.
- We will realize the graph using nx.draw() function.
- We will make the color of nodes green and increasing size by passing extra arguments to nx.draw().
Example 1:
Python3
# import required module import networkx as nx # create object G = nx.star_graph(6) # illustrate graph nx.draw(G, node_color = 'green', node_size = 100) |
Output:
Explanation:
As we passed 6 as an argument to the star_graph() function hence we got a star graph with 6 edges as output. We changed the color and size of nodes by passing extra arguments node_size and node_color to the nx.draw() function.
Example 2:
Python3
# import required module import networkx as nx # create object G = nx.star_graph(10) # illustrate graph nx.draw(G, node_color = 'green', node_size = 100) |
Output:
Explanation:
As we passed 10 as an argument to the star_graph() function hence we got a star graph with 10 edges as output. We changed the color and size of nodes by passing extra arguments node_size and node_color to the nx.draw() function.
