Fill in the circles with numbers from 1 to 8 in such a way, that connected circles does not contain consecutive numbers.?

Question

Fill in the circles with numbers from 1 to 8 in such a way, that connected circles does not contain consecutive numbers?

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Answer 1 · 2018-04-06T12:33:02

Here's one solution...
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Note that the middle two circles are highly connected, so forced to be #1# and #8#, with the top and bottom circles taking the values #7# and #2#.

Then #3# and #4# need to be disconnected from #2# so their placement is determined up to symmetry.

Finally #5# and #6# have to be placed in order that #4# and #5# are not connected.

So the solution is unique up to symmetry.