J. Merzel

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20212025

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math.CO2025

On divisibility relation graphs

Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen +1

For each positive integer $n$ , we define the divisibility relation graph $D_{n}$ whose vertex set is the set of divisors of $n$ , and in which two vertices are adjacent if one is a di…

math.CO2024

Paint cost spectrum of perfect $k$ -ary trees

Sonwabile Mafunda, Jonathan L. Merzel, K. E. Perry +1

We determine the paint cost spectrum for perfect $k$ -ary trees. A coloring of the vertices of a graph $G$ with $d$ colors is said to be \emph{ $d$ -distinguishing} if only the trivia…

On divisibility relation graphs

Paint cost spectrum of perfect k-ary trees

Paint cost spectrum of perfect $k$ -ary trees