The structure of maximum subsets of {1,...,n} with no solutions to a+b=kc
Artikel i vetenskaplig tidskrift, 2005

If $k$ is a positive integer, we say that a set $A$ of positive integers is $k$-sum-free if there do not exist $a,b,c$ in $A$ such that $a + b = kc$. In particular we give a precise characterization of the structure of maximum sized $k$-sum-free sets in $\{1,...,n\}$ for $k\ge 4$ and $n$ large.

Författare

Peter Hegarty

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

A Baltz

Jonas Knape

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Urban Larsson

Chalmers, Matematiska vetenskaper

Göteborgs universitet

T Schoen

Electron. J. Combin.

Vol. 12 16 pages-

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Annan matematik