Tag: Tensor product

  • Tensor product formulas extend to two graph polynomials

    Tensor product formulas extend to two graph polynomials

    What the study found The authors define a tensor product for graphs embedded in pseudo-surfaces and use it to generalize and unify several existing tensor product formulas. They provide Brylawski-style formulas for both the Bollobás-Riordan polynomial and the Krushkal polynomial. Why the authors say this matters The study suggests that this framework brings together previously…

  • Tensor nuclear norm is fully decomposable on specific subspaces

    Tensor nuclear norm is fully decomposable on specific subspaces

    What the study found The study shows that the tensor nuclear norm can be fully decomposed over specific subspaces, and it identifies the largest subspaces for which this full decomposability holds. It also derives new inclusions for the subdifferential, which is the set of all valid subgradients, of the tensor nuclear norm. Why the authors…