Closed symmetric monoidal structures on the category of graphs
Category Theory
2025-12-23 v2 Combinatorics
Abstract
We show that the category of (reflexive) graphs and graph maps carries exactly two closed symmetric monoidal products: the box product and the categorical product.
Cite
@article{arxiv.2310.00493,
title = {Closed symmetric monoidal structures on the category of graphs},
author = {Chris Kapulkin and Nathan Kershaw},
journal= {arXiv preprint arXiv:2310.00493},
year = {2025}
}
Comments
version accepted for publication