Sam Mattheus

activity

20172026

most citedA generalization of the cylinder conjecture for divisible codes

3 citations · 6 across the 20 of their papers we have counts for

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3 papers · 1 filter

math.CO2017

Triangle-free induced subgraphs of the unitary polarity graph

Sam Mattheus, Francesco Pavese

Let $⊥$ be a unitary polarity of a finite projective plane $π$ of order $q^{2}$ . The unitary polarity graph is the graph with vertex set the points of $π$ where two vertices $x$ …

math.CO2017★ 1 cited

On the independence number of graphs related to a polarity

Sam Mattheus, Francesco Pavese, Leo Storme

We investigate the independence number of two graphs constructed from a polarity of $PG (2, q)$ . For the first graph under consideration, the Erdős-Rényi graph $E R_{q}$ , we pr…

math.CO2017

Minimal multiple blocking sets

Anurag Bishnoi, Sam Mattheus, Jeroen Schillewaert

We prove that a minimal $t$ -fold blocking set in a finite projective plane of order $n$ has cardinality at most \[\frac{1}{2} n\sqrt{4tn - (3t + 1)(t - 1)} + \frac{1}{2} (t - 1)n +…