2 papers
math.RA2021
Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees
Xigou Zhang, Anqi Xu, Li Guo
By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free Rota-Baxter algebra on angularly dec…
math.CO2018
A study of cops and robbers in oriented graphs
Devvrit Khatri, Natasha Komarov, Aaron Krim-Yee +4
We consider the well-studied cops and robbers game in the context of oriented graphs, which has received surprisingly little attention to date. We examine the relationship between…