Geodesic
The chromaticity of a family of 2-connected 3-chromatic graphs with five triangles and cyclomatic number six
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 99-111

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In this note, all chromatic equivalence classes for 2-connected 3-chromatic graphs with five triangles and cyclomatic number six are described. New families of chromatically unique graphs of order n are presented for each n ≥ 8. This is a generalization of a result stated in [5]. Moreover, a proof for the conjecture posed in [5] is given.
Keywords: chromatically equivalent graphs, chromatic polynomial, chromatically unique graphs, cyclomatic number 
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Bielak, Halina. The chromaticity of a family of 2-connected 3-chromatic graphs with five triangles and cyclomatic number six. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 99-111. http://geodesic.mathdoc.fr/item/DMGT_1998_18_1_a8/