English

Biclosed monoidal structures on the categories of digraphs and graphs

Combinatorics 2025-11-25 v1 Category Theory

Abstract

We show that the categories of directed and undirected reflexive graphs carry exactly two (up to isomorphism) biclosed monoidal structures.

Keywords

Cite

@article{arxiv.2511.17739,
  title  = {Biclosed monoidal structures on the categories of digraphs and graphs},
  author = {Adrien Grenier and Chris Kapulkin},
  journal= {arXiv preprint arXiv:2511.17739},
  year   = {2025}
}

Comments

9 pages; comments welcome