The second such subdivision is always a simple graph.
There would be a simple graph of the odds that an insurance company would offer.
The question of whether a given degree sequence can be realized by a simple graph is more challenging.
These are sometimes deleted in order to keep within the class of simple graphs.
A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.
The result is a simple graph showing what you need and how close you are to getting there.
The category of simple graphs does not have a terminal object.
All simple graphs with four or fewer vertices are graceful.
Yet a simple graph or two could answer those questions - that is, if the data could be assembled.
A simple graph with 2 nodes and 1 edge might look like this: