A graded pullback structure of Leavitt path algebras of trimmable graphs

Motivated by recent results in graph C*-algebras concerning an equivariant pushout structure of the Vaksman–Soibelman quantum odd spheres, we introduce a class of graphs called \lt em \gt trimmable \lt /em \gt . Then we show that the Leavitt path algebra of a trimmable graph is graded-isomorphic to a pullback algebra of a subgraph Leavitt path algebra and the algebra of Laurent polynomials tensored with another subgraph Leavitt path algebra.