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arXiv · 1706.00081

Two monads on the category of graphs

Gejza Jenča
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Abstract

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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Gejza Jenča. 2018-09-19. Two monads on the category of graphs. https://doi.org/10.1515/ms-2017-0220

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