Greedy algorithm, arithmetic progressions, subset sums and divisibility

On Certain Sets of Integers

K. F. Roth · Journal of the London Mathematical Society · 1953 · 616 citations

Natural Sciences, Computer Science, Mathematics +7

On Sets of Integers Which Contain No Three Terms in Arithmetical Progression

Felix Behrend · Proceedings of the National Academy of Sciences · 1946 · 433 citations · Full text

Nursing, Health Informatics, Clinical Decision Support +12

On Some Sequences of Integers

Paul Erdős, P. Túrán · Journal of the London Mathematical Society · 1936 · 320 citations

Natural Sciences, Computer Science, Mathematics +4

Integer Sets Containing No Arithmetic Progressions

D. R. Heath‐Brown · Journal of the London Mathematical Society · 1987 · 170 citations

Natural Sciences, Mathematics, Discrete Mathematics +7

On Sets of Integers Which Contain No Three Terms in Arithmetical Progression

R. Salem, D. C. Spencer · Proceedings of the National Academy of Sciences · 1942 · 138 citations · Full text

Nursing, Health Informatics, Clinical Decision Support +12