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math.CO2024
Maximizing the number of rational-value sums or zero-sums
Benjamin Móricz, Zoltán Lóránt Nagy
What is the maximum number of -term sums admitting rational values in -element sets of irrational numbers? We determine the maximum when or and also in case…
math.CO2024
Avoiding secants of given size in finite projective planes
Tamás Héger, Zoltán Lóránt Nagy
Let be a prime power and be a natural number. What are the possible cardinalities of point sets in a projective plane of order , which do not intersect any line at…
math.CO2016★ 3 cited
Dominating sets in projective planes
Tamás Héger, Zoltán Lóránt Nagy
We describe small dominating sets of the incidence graphs of finite projective planes by establishing a stability result which shows that dominating sets are strongly related to bl…