The tensor product (G1​,G2​) of a graph G1​ and a pointed graph G2​
(containing one distinguished edge) is obtained by identifying each edge of
G1​ with the distinguished edge of a separate copy of G2​, and then
removing the identified edges. A formula to compute the Tutte polynomial of a
tensor product of graphs was originally given by Brylawski. This formula was
recently generalized to colored graphs and the generalized Tutte polynomial
introduced by Bollob\'as and Riordan. In this paper we generalize the colored
tensor product formula to relative Tutte polynomials of relative graphs,
containing zero edges to which the usual deletion-contraction rules do not
apply. As we have shown in a recent paper, relative Tutte polynomials may be
used to compute the Jones polynomial of a virtual knot