Determine the next item in the series.
J I H G K F A
I chose E
The most important thing is to not go to a previously visited item. the 2nd priority is to go to an item with less circles around it.
For the last one I thought it might be better to go to items for which the neighbor with the maximal number of circles around it has less circles. And it may be good to start the inner circle so as to continue counterclockwise. But these are just guesses.