What did Ryser Conjecture?
Combinatorics
2018-01-10 v1 History and Overview
Abstract
Two prominent conjectures by Herbert J. Ryser have been falsely attributed to a somewhat obscure conference proceedings that he wrote in German. Here we provide a translation of that paper and try to correct the historical record at least as far as what was conjectured in it. The two conjectures relate to transversals in Latin squares of odd order and to the relationship between the covering number and the matching number of multipartite hypergraphs.
Cite
@article{arxiv.1801.02893,
title = {What did Ryser Conjecture?},
author = {Darcy Best and Ian M. Wanless},
journal= {arXiv preprint arXiv:1801.02893},
year = {2018}
}
Comments
Ryser's original paper included as ancillary file