For such a graph G, suppose P(G, λ) denote the chromatic polynomial of graph G. Let G and H are two graphs, then G and H are said to be chromatically equivalent (or simply χ - equivalent) denoted by G H , if P(G, λ) = P(H, λ). A graph G is said to be chromatically unique (or simply χ -unique) if for any graph H such that G H , we have G H≅ , that is G is isomorphic to H. In this paper, the chromaticity of a family of 6-bridge graph, that is θ (,,,,,) aabbcc is investigated. The result is presented in Theorem 3.1 in Section 3 of this paper.
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