3 papers
math.CO2025
On divisibility relation graphs
Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen +1
For each positive integer , we define the divisibility relation graph whose vertex set is the set of divisors of , and in which two vertices are adjacent if one is a di…
math.CO2024
Paint cost spectrum of perfect -ary trees
Sonwabile Mafunda, Jonathan L. Merzel, K. E. Perry +1
We determine the paint cost spectrum for perfect -ary trees. A coloring of the vertices of a graph with colors is said to be \emph{-distinguishing} if only the trivia…
math.NT2021
A Linear Division-Based Recursion with Number Theoretic Applications
Jonathan L. Merzel
A simple remark on infinite series is presented. This applies to a particular recursion scenario, which in turn has applications related to a classical theorem on Euler's phi-funct…