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On the roots of cauchy polynomials

✍ Scribed by K.P. Hadeler; G. Meinardus


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
734 KB
Volume
38
Category
Article
ISSN
0024-3795

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On the Roots of Chromatic Polynomials
✍ Jason I. Brown πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 158 KB

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)Γ‚(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