Geodesic
On sectional Newtonian graphs
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 605-629 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2020.0049-20
Classification : 05C75, 53C43
Keywords: sectional Newtonian graph; level set; partition 
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Fan, Zening; Zhao, Suo. On sectional Newtonian graphs. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 605-629. doi: 10.21136/CMJ.2020.0049-20

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