16 citations · 20 across the 10 of their papers we have counts for
4 papers · 1 filter
On Ramsey-minimal infinite graphs
Jordan Mitchell Barrett, Valentino Vito
For fixed finite graphs , , a common problem in Ramsey theory is to study graphs such that , i.e. every red-blue coloring of the edges of produces either…
Two types of size Ramsey numbers for matchings of small order
Valentino Vito, Denny Riama Silaban
For simple graphs and , their size Ramsey number is the smallest possible size of such that for any red-blue coloring of its edges, contains either a…
Some notes on diagram chasing and diagrammatic proofs in category theory
Valentino Vito
Diagram chasing is a customary proof method used in category theory and homological algebra. It involves an element-theoretic approach to show that certain properties hold for a co…
On functor-quotients and their isomorphism theorems
Jordan Mitchell Barrett, Valentino Vito
The notion of a categorical quotient can be generalized since its standard categorical concept does not recover the expected quotients in certain categories. We present a more gene…