Nicholas Spanier

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math.CO2025

$K_{4}^{-}$ -free triple systems without large stars in the complement

Dhruv Mubayi, Nicholas Spanier

The $n$ -star $S_{n}$ is the $n$ -vertex triple system with $(2 n - 1)$ edges all of which contain a fixed vertex, and $K_{4}^{-}$ is the unique triple system with four vertices and…

math.CO2024

The Linear $q$ -Hypergraph Process

Sayok Chakravarty, Nicholas Spanier

We analyze a random greedy process to construct $q$ -uniform linear hypergraphs using the differential equation method. We show for $q = o (lo g n)$ , that this process yields a…

K4−​-free triple systems without large stars in the complement

The Linear q-Hypergraph Process

$K_{4}^{-}$ -free triple systems without large stars in the complement

The Linear $q$ -Hypergraph Process