You can put this solution on YOUR website! Remember a graph in the general sense is simply a collection of points (ie nodes or vertices) connected by a series of lines (called edges). When we say "odd vertices" we mean that every vertex has an odd number of edges.
So simply start with four points (these will be the vertices). Now for each vertex, draw an odd number of edges (say 3 each) that start from that given vertex and connect to every other vertex. This will mean that every vertex will have the same number of edges connecting to it.
When you are all done, every vertex should have 3 edges connecting to it. This will then mean that drawing will be a graph with 4 odd vertices.
Note: you can use larger odd numbers (eg 5) for the number of edges.
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