Chromatic roots and minor-closed families of graphs

Thomas Perrett

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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.
Original languageEnglish
JournalS I A M Journal on Discrete Mathematics
Issue number3
Pages (from-to)1883-1897
Publication statusPublished - 2016


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