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On the Roots of Domination Polynomials

✍ Scribed by Jason I. Brown, Julia Tufts


Book ID
120788844
Publisher
Springer Japan
Year
2013
Tongue
English
Weight
864 KB
Volume
30
Category
Article
ISSN
0911-0119

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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)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