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math.CO2026
Strong Majority Edge-Coloring
Sylwia Antoniuk, Magdalena Prorok, Nika Salia
A strong majority edge-coloring of a graph is an edge-coloring in which, for every edge and every color , at most half of the edges adjacent to have color . Such a co…
math.CO2026
A note on the extremal number of Berge-
Nika Salia, Casey Tompkins
We improve the known upper bound for the extremal number of Berge--free -uniform hypergraphs. More precisely, we prove that every -vertex -uniform hypergraph with no…
math.CO2026
Turán-Type Extremal Results for Distance- Graphs
Zhen He, Nika Salia, Casey Tompkins +1
We study Turán-type extremal problems for distance graphs, motivated by work of Csikvári, Bollobás, Tyomkyn, and Uzzell. We determine the maximum number of vertex pairs at distance…