Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Irregular sets of integers generated by the greedy algorithm
HTML articles powered by AMS MathViewer

by Joseph L. Gerver PDF
Math. Comp. 40 (1983), 667-676 Request permission

Abstract:

The greedy algorithm was used to generate sets of positive integers containing no subset of the form $\{ x,x + y,x + 2y\}$, $\{ x,x + y,x + 3y\}$, $\{ x,x + 2y,x + 3y\}$, $\{ x,x + 3y,x + 4y\}$, $\{ x,x + 3y,x + 5y\}$, and $\{ x,x + y,x + 2y,x + 3y\}$, respectively. All of these sets have peaks of density in roughly geometric progression.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 10L20, 10H20
  • Retrieve articles in all journals with MSC: 10L20, 10H20
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 667-676
  • MSC: Primary 10L20; Secondary 10H20
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0689480-2
  • MathSciNet review: 689480