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Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.

19 votes
1 answer
499 views

Number of Hamiltonian cycles on a Sierpiński graph

(Please also see the above link for the definition and pictures of Sierpinski-graphs) I have found $C(n)$, but I must have messed up something, because my solution does not match the given value $C(5) … Even if it seems lengthy, the thoughts become trivial if you look at the graphs while following. (a) In a given graph $S_n$ call the outer corners $A,B,C$. …