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A348461 Size of largest bipartite biregular Moore graph of diameter 4 and degrees n and n. 2

%I #26 Nov 01 2021 00:45:44

%S 8,30,80,170,312

%N Size of largest bipartite biregular Moore graph of diameter 4 and degrees n and n.

%C a(7) >= 516, a(8) = 800, a(9) = 1170, a(10) = 1640.

%H G. Araujo-Pardo, C. Dalfó, M. Á. Fiol and N. López, <a href="https://arxiv.org/abs/2103.11443">Bipartite biregular Moore graphs</a>, arXiv:2103.11443 [math.CO], 2021.

%H G. Araujo-Pardo, C. Dalfó, M. Á. Fiol and N. López, <a href="https://doi.org/10.1016/j.disc.2021.112582">Bipartite biregular Moore graphs</a>, Discrete Math., 334 (2021), # 112582.

%F Empirical observation: For the terms a(2)-a(6) and a(8)-a(10) a(n) = 2*(A027444(n-1) + 1). It is unknown whether this is also valid for n = 7 and n > 10. - _Hugo Pfoertner_, Oct 31 2021

%F Is this the same as 2*A053698(n-1)? If not, where is the first place these sequences differ? - _Omar E. Pol_, Oct 31 2021

%F a(n) <= 2*A053698(n-1) (the Moore bound). - _Pontus von Brömssen_, Oct 31 2021

%Y Cf. A027444, A053698, A348462, A348463.

%K nonn,more

%O 2,1

%A _N. J. A. Sloane_, Oct 31 2021

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Last modified June 6 07:26 EDT 2024. Contains 373115 sequences. (Running on oeis4.)