Two monads on the category of graphs

  title={Two monads on the category of graphs},
  author={Gejza Jenvca},
  journal={Mathematica Slovaca},
  • Gejza Jenvca
  • Published 31 May 2017
  • Mathematics
  • Mathematica Slovaca
We introduce two monads on the category of graphs and prove that their Eilenberg-Moore categories are isomorphic to the category of perfect matchings and the category of partial Steiner triple systems, respectively. As a simple application of these results, we describe the product in the categories of perfect matchings and partial Steiner triple systems. 

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