38 citations · 127 across the 19 of their papers we have counts for
4 papers · 1 filter
Functorial Approach to Graph and Hypergraph Theory
Martin Schmidt
We provide a new approach to categorical graph and hypergraph theory by using categorical syntax and semantics. For each monoid and action on a set , there is an associated…
Injectives Hulls and Projective Covers in Categories of Generalized Uniform Hypergraphs
Martin Schmidt
We construct injective hulls and projective covers in categories of generalized uniform hypergraphs which generalizes the constructions in the category of quivers and the category…
Exponential Objects in Categories of Generalized Uniform Hypergraphs
Martin Schmidt
We construct exponential objects in categories of generalized uniform hypergraphs and use embeddings induced by nerve-realization adjunctions to show why conventional categories of…
Oriented Hypergraphic Matrix-tree Type Theorems and Bidirected Minors via Boolean Order Ideals
Ellen Robinson, Lucas J. Rusnak, Martin Schmidt +1
Restrictions of incidence-preserving path maps produce an oriented hypergraphic All Minors Matrix-tree Theorems for Laplacian and adjacency matrices. The images of these maps produ…