2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154404Knopfmacher et all [1] was introduced the graph compositions` notion. In this note we add to these a new construction of tree-like graphs where nodes are graphs themselves. The first examples of these tree-like compositions, a corresponding theorem and resulting conclusions are provided.5 pagesCombinatoricsDiscrete Mathematics05A18, 05C05, 05C30, 11B37text