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Newtonian graphs for families of complex polynomials

โœ Scribed by Jeremy Kahn


Book ID
103920768
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
675 KB
Volume
7
Category
Article
ISSN
0885-064X

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โœฆ Synopsis


The Newtonian graph of all polynomials of degree 4 and all polynomials (x "+I -1)/(x -1) for n 5 24 is determined.


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Computational algorithms are described which provide for constructing the set of associated edgeweighted directed graphs such that the average of the characteristic polynomials of the edge-weighted graphs gives the matching polynomial of the parent graph. The weights were chosen to be unities or pur