On the Davenport-Mahler bound
Paula Escorcielo, Daniel Perrucci
TL;DR
This paper extends the Davenport-Mahler bound to apply to any graph structure with vertices at the roots of a complex polynomial, broadening its applicability in polynomial root analysis.
Contribution
It generalizes the Davenport-Mahler bound to arbitrary graphs with roots of complex polynomials, expanding its theoretical scope.
Findings
Bound holds for arbitrary graphs with roots as vertices
Generalization to complex polynomial roots
Broadens applicability of the Davenport-Mahler bound
Abstract
We prove that the Davenport-Mahler bound holds for arbitrary graphs with vertices on the set of roots of a given univariate polynomial with complex coefficients.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematics and Applications · graph theory and CDMA systems