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math.CO2021★ 1 cited
Infinite Ramsey-minimal graphs for star forests
Fawwaz Fakhrurrozi Hadiputra, Valentino Vito
For graphs , , and , we write if every red-blue coloring of the edges of produces a red copy of or a blue copy of . The graph is said to be $(…
math.CO2020★ 3 cited
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…
math.CO2020
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…