Sam Mattheus

activity

20192025

most citedAn algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings

1 citations · 1 across the 5 of their papers we have counts for

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math.CO2025

Improved bounds for the minimum degree of minimal multicolor Ramsey graphs

Yamaan Attwa, Sam Mattheus, Tibor Szabó +1

We provide two novel constructions of $r$ edge-disjoint $K_{k + 1}$ -free graphs on the same vertex set, each of which has the property that every small induced subgraph contains a co…

math.CO2024

Off-diagonal Ramsey numbers for slowly growing hypergraphs

Sam Mattheus, Dhruv Mubayi, Jiaxi Nie +1

For a $k$ -uniform hypergraph $F$ and a positive integer $n$ , the Ramsey number $r (F, n)$ denotes the minimum $N$ such that every $N$ -vertex $F$ -free $k$ -uniform hypergraph contains…

math.CO2021

A clique-free pseudorandom subgraph of the pseudo polarity graph

Sam Mattheus, Francesco Pavese

We provide a new family of $K_{k}$ -free pseudorandom graphs with edge density $Θ (n^{- 1/ (k - 1)})$ , matching a recent construction due to Bishnoi, Ihringer and Pepe. As in the former re…

math.CO2020★ 1 cited

An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings

Jan De Beule, Klaus Metsch, Sam Mattheus

In this paper, oppositeness in spherical buildings is used to define an EKR-problem for flags in projective and polar spaces. A novel application of the theory of buildings and Iwa…

math.CO2019

A counterexample to Fuglede's conjecture in $(Z / p Z)^{4}$ for all odd primes