4 papers
Cops and Robbers: A -homotopy Invariant Variant
Tien Chih, Laura Scull
Cops and Robbers is a pursuit-evasion game played on graphs, of which many variants have been developed and studied. We introduce a variant of this game, "Sneaky-Active Cops and Ro…
Homotopy Covers of Graphs
Tien Chih, Laura Scull
We develop a theory of -homotopy, fundamental groupoids and covering spaces that apply to non-simple graphs, generalizing existing results for simple graphs. We prove that…
Fundamental Groups of Hamming Graphs
Keira Behal, Tien Chih
Recently there has been growing interest in discrete homotopies and homotopies of graphs beyond treating graphs as 1-dimensional simplicial spaces. One such type of homotopy is $\t…
Combinatorics of factorization systems on lattices
Jishnu Bose, Tien Chih, Hannah Housden +4
We initiate the combinatorial study of factorization systems on finite lattices, paying special attention to the role that reflective and coreflective factorization systems play in…