Algorithms for Solving Some Inverse Problems from Combinatorial Number Theory
Elias Abboud *
Faculty of Education, Beit Berl College, Doar Beit Berl 44905, Israel.
*Author to whom correspondence should be addressed.
Abstract
In this paper we use the characteristic property of sumsets which states that there exists a proper subset tiling the set by translates to solve by an algorithmic methods, for finite sets, some inverse problems in combinatorial number theory.
Keywords: Translation, sumset, decomposable set, tiling a set, maximal covering