On Coxeter spectral classification of P-critical edge-bipartite graphs of Euclidean type

We present a complete list of the Coxeter polynomials of P-critical bigraphs Δ, for |Δ0|⩽8. Moreover, given P-critical bigraphs Δ, Δ′ of the Euclidean type and n⩽8, we establish by a computer calculation the equivalence of the following three statements: (a) coxΔ(t)=coxΔ′(t), (b) the reduced Coxeter numbers cΔ and cΔ′ of Δ and Δ′ coincide, (c) the tubular types tubΔ and tubΔ′ of Δ and Δ′ coincide (see Section 2).