We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.

We find the characteristic identities for split Casimir operator in defining and adjoint representations of $$osp(M|N)$$ $$s\ell(M|N)$$ Lie superalgebras. These are used to build projectors onto invariant subspaces representation $$T^{\otimes 2}$$ superalgebras cases where $$T$$ is or representation. For representation, - -invariant solutions Yang–Baxter equation expressed as rational functions...