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arxiv: 0704.2264 · v1 · submitted 2007-04-18 · 🧮 math.CO

Graphs with chromatic roots in the interval (1,2)

classification 🧮 math.CO
keywords chromaticrootsgraphsintervaladditionbrieflyclassesconjecture
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We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1,2) thus resolving a conjecture of Jackson's in the negative. In addition, we briefly consider other graph classes that are conjectured to have no chromatic roots in (1,2).

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