%0 Journal Article %T Combinatorics of $¦Õ$-deformed stuffle Hopf algebras %A G¨¦rard Henry Edmond Duchamp %A Vincel Hoang Ngoc Minh %A Christophe Tollu %A B¨´i Chi¨ºn %A Nguyen Hoang Nghia %J Computer Science %D 2013 %I arXiv %X In order to extend the Sch\"utzenberger's factorization to general perturbations, the combinatorial aspects of the Hopf algebra of the $\phi$-deformed stuffle product is developed systematically in a parallel way with those of the shuffle product. %U http://arxiv.org/abs/1302.5391v7