A319426 - OEIS

%I #7 Sep 26 2018 16:25:38

%S 0,24,483,6724,79416

%N Number of cyclically 3-connected cubic planar graphs with triangles and containing 2n nodes.

%H R. E. L. Aldred, S. Bau, D. A. Holton, <a href="https://doi.org/10.1137/S0895480198348665">Nonhamiltonian 3-connected cubic planar graphs</a>, SIAM Journal on Discrete Mathematics, 13(1) (2000), 25-32. See Table 1.

%H D. A. Holton and B. D. McKay, <a href="http://dx.doi.org/10.1016/0095-8956(88)90075-5">The smallest non-hamiltonian 3-connected cubic planar graphs have 38 vertices</a>, J. Combinat. Theory B vol 45, iss. 3 (1988) 305-319.

%H D. A. Holton and B. D. McKay, <a href="http://dx.doi.org/10.1016/0095-8956(89)90025-7">Erratum</a>, J. Combinat. Theory B vol 47, iss. 2 (1989) 248.

%Y Cf. A319425, A319427.

%K nonn,more

%O 12,2

%A _N. J. A. Sloane_, Sep 26 2018