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Ukrainian Mathematical Journal

, Volume 65, Issue 7, pp 1087–1110 | Cite as

Trees as Level Sets for Pseudoharmonic Functions in the Plane

  • E. O. Polulyakh
Article

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.

Keywords

Open Subset Open Neighborhood Edge Incident Jordan Curve Plane Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • E. O. Polulyakh
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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