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Newton polygons and families of polynomials

✍ Scribed by Arnaud Bodin


Publisher
Springer
Year
2004
Tongue
English
Weight
152 KB
Volume
113
Category
Article
ISSN
0025-2611

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The main result of this 1)aper will he a formula to compute the Milnor number of an isolated complete intersection singulaFity using the Newton polygon. We were inspired by the articles of KOUCHNIRENKO [4], who gave such a formula for hyl)ersurfaces, anti GREUEL and HAMM [2], who proved a similar re

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✍ C. D. Wakelin; D. R. Woodall πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 370 KB

## Abstract It is proved that all classes of polygon trees are characterized by their chromatic polynomials, and a characterization is given of those polynominals that are chromatic polynomials of outerplanar graphs. The first result yields an alternative proof that outerplanar graphs are recogniza

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A multivariable polynomial is associated with a polytope, called its Newton polytope. A polynomial is absolutely irreducible if its Newton polytope is indecomposable in the sense of Minkowski sum of polytopes. Two general constructions of indecomposable polytopes are given, and they give many simple