TY - JOUR AU - E. O. Polulyakh PY - 2013/07/25 Y2 - 2024/03/28 TI - Trees as Level Sets for Pseudoharmonic Functions in the Plane JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 7 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2483 AB - Let T be a finite or infinite tree and let V 0 be the set of all vertices of T of valency 1. We propose a sufficient condition for the image of the imbedding ψ: T \V 0 → \( {{\mathbb{R}}^2} \) to be a level set of a pseudoharmonic function. ER -