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On perturbations of roots of polynomials

โœ Scribed by V. Tulovsky


Book ID
112895689
Publisher
Springer-Verlag
Year
1990
Tongue
English
Weight
480 KB
Volume
54
Category
Article
ISSN
0021-7670

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It is proved that the chromatic polynomial of a connected graph with n vertices and m edges has a root with modulus at least (m&1)ร‚(n&2); this bound is best possible for trees and 2-trees (only). It is also proved that the chromatic polynomial of a graph with few triangles that is not a forest has a