A homotopy category for graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-020-00960-5
Abstract: We show that the category of graphs has the structure of a 2-category with homotopy as the 2-cells. We then develop an explicit description of homotopies for finite graphs, in terms of what we call… read more here.
Keywords: graphs; category; homotopy category; category graphs ... See more keywords
Two monads on the category of graphs
Sign Up to like & getrecommendations! Published in 2017 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0220
Abstract: 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… read more here.
Keywords: two monads; monads category; category graphs;