MMN-798
Islands: from coding theory to enumerative combinatorics and to lattice theory - overview and open problems
Abstract
As a tool to characterize instantaneous codes, Foldes and Singhi determined the maxi-
mum number of certain subsets of the set of the first n natural numbers in 2006. This motivated
Cz ́ dli in 2009 to determine the maximum number of the analogous subsets of a rectangular grid.
e
He called these subsets islands. The present paper summarizes recent results on this topic.
Vol. 14 (2013), No. 3, pp. 927-939
DOI: 10.18514/MMN.2013.798