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A131636 List of impossible triples {V, F, E} that satisfy Euler's equation V=E-F+2 but do not correspond to polyhedra. 0

%I #4 Mar 30 2012 17:34:21

%S 0,2,0,0,3,1,1,1,0,1,2,1,1,3,2,2,0,0,2,1,1,2,2,2,2,3,3,3,0,1,3,1,2,3,

%T 2,3,3,3,4

%N List of impossible triples {V, F, E} that satisfy Euler's equation V=E-F+2 but do not correspond to polyhedra.

%C This set of triples seems to be a finite set of "graphs" that are Euler solutions but not polyhedra.

%F If V<4 and F<4 and E<7 and V=E-F+2: a(n) = {V(m),F(m),E(m)}

%t a = Delete[Union[Flatten[Table[If[v + f - 2 - e0 == 0, {v, f, e0}, {}], {v, 0, 3}, {f, 0, 3}, {e0, 0, 6}], 2]], 1]; Flatten[a]

%Y Cf. A130840.

%K nonn

%O 1,2

%A _Roger L. Bagula_, Sep 05 2007

%E Partially edited by _N. J. A. Sloane_, Sep 14 2007.

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