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On the location of roots of non-reciprocal integer polynomials

✍ Scribed by Artūras Dubickas


Publisher
Springer
Year
2010
Tongue
English
Weight
228 KB
Volume
22
Category
Article
ISSN
0938-1279

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On the Roots of Chromatic Polynomials
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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)Â(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