Now I think I got it.
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is the code to solve the problem.
I think I made a mistake:
When lyx wants to create graphs you have to create a special matrix before (with
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הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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) and not those who are created when you take the matrix button (which creates a matrix type called "array"). To see the difference watch the source code.
So you can solve the problem when you type the code at first as written above and then put it into the mathematics mode. (I still don't really understand how to navigate between those xy-matrix elements so I prefer to code all at once and then take the mathematics mode.)
The option
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הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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in the above code has the effect that the arcs are shown as undirected edges.
Thank you!