A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
  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. 
G\'erard Henry Edmond Duchamp (LIPN), Allan I. Solomon (LPTMC), Pawel   Blasiak (LPTMC), Karol A. Penson (LPTMC), Andrzej Ho...