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Bounding the Roots of Ideal and Open Set Polynomials

โœ Scribed by Jason I. Brown; Carl A. Hickman; Hugh Thomas; David G. Wagner


Publisher
Springer
Year
2005
Tongue
English
Weight
149 KB
Volume
9
Category
Article
ISSN
0218-0006

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We give bounds for the roots of such polynomials with complex coefficients. These bounds are much smaller than for general polynomials.

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The general notion of t-splitting sets is introduced within the context of combinatorial block designs. A greatest lower bound on cardinality of such sets, and an upper bound on cardinality of the smallest such set in a given design are established. The abstraction of t-splitting sets is shown to pr