  We construct a three parameter deformation of the Hopf algebra
$\mathbf{LDIAG}$. This new algebra is a true Hopf deformation which reduces to
$\mathbf{LDIAG}$ on one hand and to $\mathbf{MQSym}$ on the other, relating
$\mathbf{LDIAG}$ to other Hopf algebras of interest in contemporary physics.
Further, its product law reproduces that of the algebra of polyzeta functions.
