2 papers
math.CO2023
On Two Orderings of Lattice Paths
PJ Apruzzese, Kevin Cong
The \emph{Markov numbers} are positive integers appearing as solutions to the Diophantine equation . These numbers are very well-studied and have many combi…
math.CO2023
On Integer Sets Excluding Permutation Pattern Waves
Kevin Cong
We study Ramsey-type problems on sets avoiding sequences whose consecutive differences have a fixed relative order. For a given permutation , a -wave is a sequence $x_…