Universal Properties of Some Quivers
Category Theory
2017-06-06 v2 Combinatorics
Abstract
In this paper, I characterize four particular classes of directed multigraphs, or quivers, as images under left and right adjoints to the natural vertex and edge functors. In particular, the following notions coincide: (1) independent sets of vertices with a left adjoint functor to the vertex functor, (2) independent sets of edges with a left adjoint functor to the edge functor, (3) complete digraphs with a right adjoint functor to the vertex functor, (4) bouquets with a right adjoint functor to the edge functor.
Cite
@article{arxiv.1106.1063,
title = {Universal Properties of Some Quivers},
author = {Will Grilliette},
journal= {arXiv preprint arXiv:1106.1063},
year = {2017}
}
Comments
10 pages This paper has been withdrawn as it was subsumed by arXiv:1608.00058