3 problems

Let $T\cong C(h_1,h_2,h_3)$ be a caterpillar of order $n$, and let $A$ be an Abelian group such that $|A|=n$ and $\exp(A)=m\geq 5$. Set … Here, $T$ is $A$-rainbow when it has an…

A $p$-caterpillar is a caterpillar in which the vertices not on the spine have distance at most $p$ from the spine. Let the shift and jump operations be the operations developed in…

Caterpillar realization conjecture. Every tree degree matrix without common leaves has a caterpillar realization.