@article {IOPORT.02210359, author = {Goulden, I.P. and Nica, A.}, title = {A direct bijection for the Harer-Zagier formula.}, year = {2005}, journal = {Journal of Combinatorial Theory. Series A}, volume = {111}, number = {2}, issn = {0097-3165}, pages = {224-238}, publisher = {Elsevier Science (Academic Press), San Diego, CA}, doi = {10.1016/j.jcta.2004.12.003}, abstract = {The Harer-Zagier formula describes the disjoint cycle distribution of a long cycle multiplied by an involution with no fixed points, in the symmetric group of a set of even cardinality. The paper gives the first proof of the Harer-Zagier formula with an explicit bijection.}, reviewer = {L\'aszl\'o A. Sz\'ekely (Columbia)}, identifier = {02210359}, }