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Journal article

Chromatic roots and minor-closed families of graphs

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Given a minor-closed class of graphs G, what is the in mum of the non-trivial roots of the chromatic polynomial of G ε G? When G is the class of all graphs, the answer is known to be 32/27. We answer this question exactly for three minor-closed classes of graphs. Furthermore, we conjecture precisely when the value is larger than 32/27.

Language: English
Year: 2016
Pages: 1883-1897
ISSN: 10957146 and 08954801
Types: Journal article
DOI: 10.1137/15M1040785
ORCIDs: Perrett, Thomas

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