@article {ClKiMi2015, author = {Claesson, Anders and Kitaev, Sergey and de Mier, Anna}, title = {An involution on bicubic maps and {$\beta(0,1)$}-trees}, journal = {Australas. J. Combin.}, fjournal = {The Australasian Journal of Combinatorics}, volume = {61}, year = {2015}, pages = {1--18}, issn = {1034-4942}, }