I am having a problem graphing a circuit as I'm quite unfamiliar with this field.

This is a first example which I think I got right; I find all the nodes and then connect the individual branches. Where I do encounter a problem is with some examples which are not as obvious as this one.

I see that there are ultimately two nodes; but the "excess" wires make it confusing (the one connecting the nodes between R1,R2 and R3,R1 as well as the one above) to graph. I was first thinking what happens if I would just ignore the wire (a short circuit) and then do some serial connecting of resistors - R1-R2 and then parallel it with R3 but I don't even know if I'm supposed to do that as the assignment is just to graph it. I guess I'm asking an embarrassing question but please bare with me.

Thank you in advance.