Draw graphs for self-energy and Vertex functions

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Neitrino
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Could anyone help/advise me please how to draw graphs for self-energy and Vertex functions given in attachments one and two.
In attachment one Sigma is self energy in coordinate space, S - fermion propagator, here I have one question: I was reading something where I found these exppresions, but how it can be that self-energy in attachment one is expressed only in terms of Propagator S(0), it's a just a vacuum bubble, just circle isn't it?

Irealy need someones help.
Thks a lot
 
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Any feedback please...
Or did I write something wrongly or incompletely?
 
Graphs

Re-uploading the attachemnts.
 

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