Extremal Subsets of {1, ..., n} Avoiding Solutions to Linear Equations in Three Variables

We refine previous results to provide examples, and in some cases precise classifications, of extremal subsets of {1, ..., n} containing no solutions to a wide class of non-invariant, homogeneous linear equations in three variables, i.e.: equations of the form ax + by = cz with a + b = c.

• Type: Journal
• Year: 2007
• Where: COMBINATORICS
• Authors: Peter Hegarty
• Keywords: COMBINATORICS 2007, Extremal Subsets, Homogeneous Linear Equations, Wide Class