Geodesic
Extremal subsets of \(\{1,\dots ,n\}\) avoiding solutions to linear equations in three variables
The electronic journal of combinatorics, Tome 14 (2007)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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 $a+b \neq c$.
DOI : 10.37236/992
Classification : 05D05, 11P99, 11B75 
@article{10_37236_992,
     author = {Peter Hegarty},
     title = {Extremal subsets of \(\{1,\dots ,n\}\) avoiding solutions to linear equations in three variables},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/992},
     zbl = {1157.05335},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/992/}
}
TY  - JOUR
AU  - Peter Hegarty
TI  - Extremal subsets of \(\{1,\dots ,n\}\) avoiding solutions to linear equations in three variables
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/992/
DO  - 10.37236/992
ID  - 10_37236_992
ER  - 
%0 Journal Article
%A Peter Hegarty
%T Extremal subsets of \(\{1,\dots ,n\}\) avoiding solutions to linear equations in three variables
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/992/
%R 10.37236/992
%F 10_37236_992
Peter Hegarty. Extremal subsets of \(\{1,\dots ,n\}\) avoiding solutions to linear equations in three variables. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/992

Cité par Sources :