3 papers
math.CO2018
The Fundamental Morphism Theorem in the Categories of Graphs & Graph Reconstruction
Tien Chih, Demitri Plessas
The Fundamental Morphism Theorem is a categorical version of the First Noether Isomorphism Theorem for categories that do not have kernels or cokernels. We consider two categories…
math.CO2015
Graphs and Their Associated Inverse Semigroups
Tien Chih, Demitri Plessas
Directed graphs have long been used to gain understanding of the structure of semigroups, and recently the structure of directed graph semigroups has been investigated resulting in…
cs.DM2012
On the Concrete Categories of Graphs
George McRae, Demitri Plessas, Liam Rafferty
In the standard Category of Graphs, the graphs allow only one edge to be incident to any two vertices, not necessarily distinct, and the graph morphisms must map edges to edges and…