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Genus of the n-path complement graph.
0

%I #19 Mar 10 2026 13:34:21

%S 0,0,0,0,0,0,1,1,2,3,3,5,6,7

%N Genus of the n-path complement graph.

%C Known a(n) agree with the Euler lower bound ceil((n^2 - 9 n + 14)/12) except for n = 1, 7, 10.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GraphGenus.html">Graph Genus</a>.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PathComplementGraph.html">Path Complement Graph</a>.

%K nonn,more

%O 1,9

%A _Eric W. Weisstein_, Mar 10 2026