  We here give polynomial realizations of various Hopf algebras or bialgebras
on Feynman graphs, graphs, posets or quasi-posets, that it to say injections of
these objects into polynomial algebras generated by an alphabet. The alphabet
here considered are totally quasi-ordered. The coproducts are given by doubling
the alphabets; a second coproduct is defined by squaring the alphabets, and we
obtain cointeracting bialgebras in the commutative case.
