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A137568 Number of chromatically unique simple graphs on n nodes. 3

%I #27 Mar 14 2020 13:38:38

%S 1,2,4,7,16,41,139,704,7270,183606

%N Number of chromatically unique simple graphs on n nodes.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ChromaticPolynomial.html">Chromatic Polynomial</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ChromaticallyUniqueGraph.html">Chromatically Unique Graph</a>

%F a(n) = A000088(n) - A137567(n).

%o (Sage)

%o def A137568(n):

%o d = {}

%o for g in graphs(n):

%o c = g.chromatic_polynomial()

%o d[c] = 1 if c not in d else d[c]+1

%o return d.values().count(1) # _D. S. McNeil_, Jan 02 2011

%Y Cf. A137567 (number of chromatically non-unique graphs).

%Y Cf. A000088 (number of simple graphs).

%K nonn,more,hard

%O 1,2

%A _Eric W. Weisstein_, Jan 26 2008

%E a(9) from _Eric W. Weisstein_, Apr 07 2008

%E a(8) and a(9) corrected by _Eric W. Weisstein_, Jan 02 2011

%E a(10) from _Eric W. Weisstein_, Jun 09 2014

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Last modified July 29 22:36 EDT 2024. Contains 374734 sequences. (Running on oeis4.)