Abstract
Ramras conjectured that the maximum size of an independent set in the discrete cube Q n containing equal numbers of sets of even and odd size is, 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.
| Original language | English |
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| Pages (from-to) | 205-207 |
| Number of pages | 3 |
| Journal | Australasian Journal of Combinatorics |
| Volume | 52 |
| Publication status | Published - Feb 2012 |