7 citations · 28 across the 34 of their papers we have counts for
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math.NT2024
Intersecting families of polynomials over finite fields
Nika Salia, Dávid Tóth
This paper establishes an analog of the Erdős-Ko-Rado theorem to polynomial rings over finite fields, affirmatively answering a conjecture of C. Tompkins. A -uniform family of s…
math.CO2024
Hypergraph saturation for the bow tie
Stijn Cambie, Nika Salia
Erdős and Sós initiated the study of the maximum size of a -uniform set system, for , with no singleton intersections years ago. In this work, we investigate the…
math.CO2024
Saturated Partial Embeddings of Planar Graphs
Alexander Clifton, Nika Salia
In this work, we study how far one can deviate from optimal behavior when embedding a planar graph. For a planar graph , we say that a plane subgraph is a \textit…