E. Sundberg

collaborators

2 papers

math.CO2020

Pairing strategies for the Maker-Breaker game on the hypercube with subcubes as winning sets

Ramin Naimi, Eric Sundberg

We consider the Maker-Breaker positional game on the vertices of the $n$ -dimensional hypercube ${0, 1}^{n}$ with $k$ -dimensional subcubes as winning sets. We describe a pairing stra…

math.CO2019

A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation

Ramin Naimi, Eric Sundberg

We present a natural, combinatorial problem whose solution is given by the meta-Fibonacci recurrence relation $a (n) = \sum_{i = 1}^{p} a (n - i + 1 - a (n - i))$ , where $p$ is prime. This comb…