I. Yurchuk

collaborators

3 papers

math.GN2009

On the realization of graph as invariant of pseudoharmonic functions

Yevgen Polulyakh, Iryna Yurchuk

Necessary and sufficient conditions for a finite connected graph with a strict partial order on vertices to be a combinatorial invariant of pseudoharmonic function are obtained.

math.GN2009

On the conditions of topological equivalence of pseudoharmonic functions defined on disk

Yevgen Polulyakh, Iryna Yurchuk

Let $D^{2} \subset C$ be a closed two-dimensional disk and $f : D^{2} \to R$ be a continuous function such that a restriction of $f$ to $\partial D^{2}$ is a continuous function with a fin…

math.GN2009

On the criteria of D-planarity of a tree

E. Polulyakh, I. Yurchuk

Let $T$ be a tree with a fixed subset of vertices $V^{*}$ such that there is a cyclic order $C$ on it and all terminal vertices are contained in this set. Let $D^{2} = \{(x,y) \…