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

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

2007-04-18

arxiv.org/abs/0704.2264v1

Mathematics

Combinatorics

8 pages

Scientific paper

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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