Location of Zeros of Wiener and Distance Polynomials

Matthias Dehmer and Aleksandar Ilić

PLOS ONE, 2012, vol. 7, issue 3, 1-12

Abstract: The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all its zeros are situated. In this paper, we infer bounds for general polynomials and apply classical and new results to graph polynomials namely Wiener and distance polynomials whose zeros have not been yet investigated. Also, we examine the quality of such bounds by considering four graph classes and interpret the results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0028328

DOI: 10.1371/journal.pone.0028328

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