A287008 Number of disconnected simple graphs on n vertices whose fractional chromatic number equals its chromatic number.

0, 1, 2, 5, 13, 43, 186, 1187, 13009, 270986

Offset: 1

Author

Eric W. Weisstein, May 17 2017

Keywords

• nonn
• more

Links

• Eric Weisstein's World of Mathematics, Chromatic Number
• Eric Weisstein's World of Mathematics, Fractional Chromatic Number

Crossrefs

Cf. A287007 (number of not-necessarily connected simple graphs on n nodes with fractional chromatic number equal to chromatic number).

Cf. A243252 (number of simple connected graphs on n node with fractional chromatic number equal to chromatic number).

Formula

a(n) = A287007(n) - A243252(n).