Article
Keywords:
sectional Newtonian graph; level set; partition
Summary:
In this paper, we introduce the so-called sectional Newtonian graphs for univariate complex polynomials, and study some properties of those graphs. In particular, we list all possible sectional Newtonian graphs when the degrees of the polynomials are less than five, and also show that every stable gradient graph can be realized as a polynomial sectional Newtonian graph.
References:
[9] Stefánsson, K.:
Newtonian Graphs, Riemann Surfaces and Computation. PhD Thesis. Cornell University, Ann Arbor (1995).
MR 2693724