Universal Properties of Some Quivers

Details Universal Properties of Some Quivers Universal Properties of Some Quivers

2011-06-06

arxiv.org/abs/1106.1063v1

Mathematics

Category Theory

10 pages

Scientific paper

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.

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