1,1

The size of the smallest set, the independent domination number, is given by A291297.

Table of n, a(n) for n=1..8.

Eric Weisstein's World of Mathematics, Maximal Independent Vertex Set

Eric Weisstein's World of Mathematics, Fibonacci Cube Graph

Wikipedia, Fibonacci cube

Case n=1: The vertices are 0, 1. Each singleton vertex set is a maximal independent set, so a(1) = 2.

Case n=2: The vertices are 00, 01, 10. Maximal independent sets are {00} and {01, 10}, so a(2) = 2.

Case n=3: The vertices are 000, 001, 010, 100, 101. Maximal independent sets are {000, 101}, {010, 101}, {001, 010, 100}, so a(3)=3.

Cf. A291297, A291573.

Sequence in context: A032161 A265801 A098738 * A083701 A076996 A139148

Adjacent sequences: A291739 A291740 A291741 * A291743 A291744 A291745

nonn,more

Andrew Howroyd, Aug 30 2017

approved