# Subgraphs III

Nodes:
Start Jump:
End Jump:

#### Appearance Options

Edge Color: #
Background Color: #
Node Size:
Edge Thickness:

Animate:
Speed:

#### Graph Information

Total Edges:
Max Degree:
Min Degree:
Mean Degree:

This applet will draw a subset of the complete graph on a particular number of nodes. Begin by choosing the number of nodes $$n$$, a start jump value, $$a$$, and an end jump value, $$b$$. An edge will be drawn from node $$a$$ to node $$b$$. The next edge will connect $$2a$$ and $$2b$$, then next will connect $$3a$$ and $$3b$$, and so on. There may not be any connected paths in this graph. By varying the parameters, you may see the envelopes of cardioids, nephroids, and others. The possible degrees of the nodes will depend on the parameters you have chosen.