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  • 1
    $\begingroup$ Would including 8, 11, and 12 give too much away? $\endgroup$
    – RobPratt
    Commented Apr 22, 2020 at 17:37
  • $\begingroup$ @RobPratt I've added information about those nodes as Hint 3 if you want it $\endgroup$
    – Galen
    Commented Apr 22, 2020 at 17:41
  • 3
    $\begingroup$ Not a hint, but it looks like Big Hero 6 is waving at us. $\endgroup$
    – Galen
    Commented Apr 22, 2020 at 19:26
  • $\begingroup$ If hint 4 is the case instead of the definition of simple graph(no loop) then I must say it should be connected with 15 as they have a long string :D $\endgroup$
    – m4n0
    Commented Apr 23, 2020 at 3:57
  • $\begingroup$ Hint 4 and the definition of a simple graph are consistent. Cycles are allowed, but loops are not. $\endgroup$
    – Galen
    Commented Apr 23, 2020 at 4:01