Sur l'existence d'une cat\'egorie ayant une matrice strictement positive donn\'ee
Category Theory
2008-12-18 v1
Abstract
The Leinster matrix corresponding to a finite category has entries counting the number of morphisms between objects. A first question is to know which positive integer matrices come from at least one finite category. Here, that question will be answered when the entries are strictly positive.
Cite
@article{arxiv.0806.0060,
title = {Sur l'existence d'une cat\'egorie ayant une matrice strictement positive donn\'ee},
author = {Samer Allouch},
journal= {arXiv preprint arXiv:0806.0060},
year = {2008}
}