Network Tutorial
 
 

Looking at the Degree of the Vertex and Graph
 
 
Degree of Verticies
 
To analize a graph it is important to look at the degree of a vertex.  One way to find the degree is to count the number of edges which has that vertx as an endpoint.  An easy way to do this is to draw a circle around the vertex and count the number of edges that cross the circle.
 
 


 
 
 
 

 
 
Vertex
Degree
M
3
A
5
T
3
H
5
 

 

 

To find the degree of a graph, figure out all of the vertex degrees.  The degree of the graph will be its largest vertex degree.   The degree of the network is 5.
 

Once you know the degree of the verticies we can tell if the graph is a traversable by lookin at odd and even vertecies.  First lets look how you tell if a vertex is even or odd.

 

 
 
 

Graphs/networks       Even / Odd degree      Traversible       Euler Circuit       Eurler Path       Summary
 


 
 
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