References
- Connes, A., Kreimer, D. (1999). Hopf algebras, renormalization and noncommutative geometry. In: Dewitt-Morette, C., Zuber, J-B., (Eds.) Quantum Field Theory: Perspective and Prospective. Netherlands: Springer, pp. 59–109.
- Dotsenko, V. (2009). Compatible associative products and trees. Algebra Number Theory 3(5):567–586.
- Dotsenko, V. V., Khoroshkin, A. S. (2007). Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad. Funct. Anal. Appl. 41(1):1–17.
- Goncharov, A. B. (2005). Galois symmetries of fundamental groupoids and noncommutative geometry. Duke Math. J. 128(2):209–284.
- Grossman, R., Larson, R. G. (1989). Hopf-algebraic structure of families of trees. J. Algebra 126(1):184–210.
- Holtkamp, R. (2006). On Hopf algebra structures over free operads. Adv. Math. 207:544–565.
- Loday, J. L. (2006). Generalized bialgebras and triples of operads. arXiv preprint math/0611885.
- Loday, J. L., Ronco, M. (2006). On the structure of cofree Hopf algebras. J. fur die reine und angewandte Mathematik (Crelles J.) 592:123–155.
- Panaite, F. (2000). Relating the ConnesŰKreimer and GrossmanŰLarson Hopf algebras built on rooted trees. Lett. Math. Phys. 51(3):211–219.
- Stanley, R. (2015). Catalan Numbers. Cambridge: Cambridge University Press.
- Strohmayer, H. (2008). Operads of compatible structures and weighted partitions. J. Pure Appl. Algebra 212(11):2522–2534.
- Vallette, B. (2007). Homology of generalized partition posets. J. Pure Appl. Algebra 208(2):699–725.
- Zhang, Y., Bai, C., Guo, L. (2013). The category and operad of matching dialgebras. Appl. Categorical Struct. 21(6):851–865.