graph riddle



I have three homes H1, H2, H3 (see fig) and three things water W,
light L and gas G (see fig).


H1 H2 H3


W L G

I want to append W, L, G with each homes (H1, H2, H3), but it's one
condition: lines couldn't intersect. My questions:

1) Is it possible?
2) How to prove similar thing using graph theory?

.



Relevant Pages

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