Graphs with Chromatic Roots in the Interval $(1,2)$

Gordon F. Royle

Abstract


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 $(1,2)$.


Full Text: PDF