English

Some Applications of $S$-restricted Set Partitions

Combinatorics 2018-04-12 v1

Abstract

In the paper, the authors present several new relations and applications for the combinatorial sequence that counts the possible partitions of a finite set with the restriction that the size of each block is contained in a given set. One of the main applications is in the study of lonesum matrices.

Keywords

Cite

@article{arxiv.1804.03949,
  title  = {Some Applications of $S$-restricted Set Partitions},
  author = {Beáta Bényi and José L. Ramírez},
  journal= {arXiv preprint arXiv:1804.03949},
  year   = {2018}
}