Nicholas Spanier

activity

20192025

collaborators

3 papers

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…

math.CO2019

On Hamiltonian cycles in balanced $k$ -partite graphs

Louis DeBiasio, Nicholas Spanier

For all integers $k$ with $k \geq 2$ , if $G$ is a balanced $k$ -partite graph on $n \geq 3$ vertices with minimum degree at least \[ \left\lceil\frac{n}{2}\right\rceil+\left\lfloor\fr…

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

The Linear q-Hypergraph Process

On Hamiltonian cycles in balanced k-partite graphs

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

The Linear $q$ -Hypergraph Process

On Hamiltonian cycles in balanced $k$ -partite graphs