Partitions with prescribed hooksets
Combinatorics
2010-11-17 v2
Abstract
The combinatorial properties of partitions with various restrictions on their hooksets are explored. A connection with numerical semigroups extends current results on simultaneous s/t-cores. Conditions that suffice for a partition to possess required hooks are developed.
Cite
@article{arxiv.1011.1945,
title = {Partitions with prescribed hooksets},
author = {William J. Keith and Rishi Nath},
journal= {arXiv preprint arXiv:1011.1945},
year = {2010}
}
Comments
12 pages