Bobby Shen

collaborators

4 papers

math.CO2017

A uniformness conjecture of the Kolakoski sequence, graph connectivity, and correlations

Bobby Shen

The Kolakoski sequence is the unique infinite sequence with values in ${1, 2}$ and first term $1$ which equals the sequence of run-lengths of itself, we call this $K (1, 2) .$ We def…

math.CO2017

The Kolakoski sequence and related conjectures about orbits

Bobby Shen

The Kolakoski sequence is the unique infinite sequence with values in ${1, 2}$ and first term twems $1, 2, \dots$ which equals the sequence of run-lengths of itself, we call thi…

math.CO2015

The parametric Frobenius problem and parametric exclusion

Bobby Shen

The Frobenius number of relatively prime positive integers $a_{1}, \dots, a_{n}$ is the largest integer that is not a nononegative integer combination of the $a_{i} .$ Given positive int…

math.CO2015

Parametrizing an integer linear program by an integer

Bobby Shen

We consider a family of integer linear programs in which the coefficients of the constraints and objective function are polynomials of an integer parameter $t .$ For $ℓ$ in $\mat…