The functions of data selection in Edit mode can be used to locate, and remove, the parasitic vertices  and segments which can be bothersome in an export or when we try to render with a wire material . 

For that, you just have to pass in Edit Mode, TabKey . Check that you are in  Vertex Mode  and select all the vertices :

 The following operations will remove the undesirable vertices of the selection. Set  Faces mode:

Then in Segment/edges  mode :

 And finally,  return to  the Vertex Mode  to note that the bothersome vertices are not in the selection any more .

Press on the  Wkey  to obtain the Special  menu :

Then  suppress  selection :  Xkey , Eraze Menu   choose  Vertices .
Result:

previoustMdg: Data selection Modes	Xx Nextt
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