The goal of the simplified partial digest problem (SPDP) is motivated by the reconstruction of the linear structure of a DNA chain with respect to a given nucleotide pattern, based on the multiset of distances between the adjacent patterns (interpoint distances) and the multiset of distances...

Problem Product Partition differs from the NP-complete problem Partition in that the addition operation is replaced by the multiplication operation. Furthermore it differs from the NP-complete problem Subset Product in that it does not contain the product value B in its input. We prove that...

This note suggests faster algorithms for two integrated production/distribution problems studied earlier, improving their complexities from O(n2V + 4) and O(n2(L + V)2) to O(n) and O(n + Vmin {V, n}) respectively, where n is the number of products to be delivered, V is the number of vehicles...