On the realization of graph as invariant of pseudoharmonic functions

TL;DR

This paper establishes the precise conditions under which a finite connected graph with a partial order can serve as an invariant for pseudoharmonic functions, linking graph theory with function classification.

Contribution

It provides necessary and sufficient conditions characterizing when a graph with a partial order is an invariant of pseudoharmonic functions, advancing the theoretical understanding of these functions.

Findings

Identifies conditions for a graph to be an invariant of pseudoharmonic functions

Bridges graph theory and pseudoharmonic function classification

Provides a framework for recognizing such invariants

Abstract

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.