Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

We introduce some edge (resp. vertex)-homotopy invariants of spatial graphs by applying the Sato-Levine invariant for the 2-component constituent algebraically split links and show examples of ...

We prove necessary and sufficient conditions for an arbitrary invariant of braids with m double points to be the ``mth derivative'' of a braid invariant. We show that the "primary obstruction to ...