I. P. Goulden

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math.CO2009

Symmetric functions, codes of partitions and the KP hierarchy

S. R. Carrell, I. P. Goulden

We consider an operator of Bernstein for symmetric functions, and give an explicit formula for its action on an arbitrary Schur function. This formula is given in a remarkably simp…

math.CO1999

Transitive factorisations in the symmetric group, and combinatorial aspects of singularity theory

I. P. Goulden, D. M. Jackson

We consider the determination of the number $c_{k} (α)$ of ordered factorisations of an arbitrary permutation on n symbols, with cycle distribution $α$ , into k-cycles such that the fa…