A note on balanced independent sets in the cube
Combinatorics
2012-10-16 v1
Abstract
Ramras conjectured that the maximum size of an independent set in the discrete cube containing equal numbers of sets of even and odd size is 2^(n-1) - (n-1 choose (n-1)/2) when n is odd. We prove this conjecture, and find the analogous bound when n is even. The result follows from an isoperimetric inequality in the cube.
Cite
@article{arxiv.1210.4029,
title = {A note on balanced independent sets in the cube},
author = {Ben Barber},
journal= {arXiv preprint arXiv:1210.4029},
year = {2012}
}
Comments
2 pages