Ian P. Goulden

According to our database, Ian P. Goulden authored at least 37 papers between 1978 and 2018.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2018

Characterizing the number of coloured m-ary partitions modulo m, with and without gaps.

I. P. Goulden, Pavel Shuldiner

Discret. Math., 2018

2017

Disjoint covering systems and the reversion of the Möbius series.

I. P. Goulden, L. Bruce Richmond, Jeffrey O. Shallit

CoRR, 2017

2013

A multivariate hook formula for labelled trees.

Valentin Féray, I. P. Goulden

J. Comb. Theory, Ser. A, 2013

2010

Annular embeddings of permutations for arbitrary genus.

I. P. Goulden, William Slofstra

J. Comb. Theory, Ser. A, 2010

2006

Words Avoiding a Reflexive Acyclic Relation.

John Dollhopf, Ian P. Goulden, Curtis Greene

Electron. J. Comb., 2006

2005

A direct bijection for the Harer-Zagier formula.

Ian P. Goulden, Alexandru Nica

J. Comb. Theory, Ser. A, 2005

Enumerating branched orientable surface coverings over a non-orientable surface.

Ian P. Goulden, Jin Ho Kwak, Jaeun Lee

Discret. Math., 2005

2004

Distributions of regular branched surface coverings.

Ian P. Goulden, Jin Ho Kwak, Jaeun Lee

Eur. J. Comb., 2004

2003

Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope.

Ian P. Goulden, Luis G. Serrano

J. Comb. Theory, Ser. A, 2003

2002

Tree-like Properties of Cycle Factorizations.

Ian P. Goulden, Alexander Yong

J. Comb. Theory, Ser. A, 2002

Dyck paths and a bijection for multisets of hook numbers.

Ian P. Goulden, Alexander Yong

Discret. Math., 2002

2000

Transitive Factorizations in the Symmetric Group, and Combinatorial Aspects of Singularity Theory.

Ian P. Goulden, David M. Jackson

Eur. J. Comb., 2000

Preface.

Nantel Bergeron, Ian P. Goulden, Frank Sottile

Discret. Math., 2000

1999

The Number of Ramified Coverings of the Sphere by the Double Torus, and a General Form for Higher Genera.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1999

A Proof of a Conjecture for the Number of Ramified Coverings of the Sphere by the Torus.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1999

1997

Multivariable Lagrange Inversion, Gessel-Viennot Cancellation, and the Matrix Tree Theorem.

Ian P. Goulden, D. M. Kulkarni

J. Comb. Theory, Ser. A, 1997

1996

Raney Paths and a Combinatorial Relationship between Rooted Nonseparable Planar Maps and Two-Stack-Sortable Permutations.

Ian P. Goulden, Julian West

J. Comb. Theory, Ser. A, 1996

Further Determinants with the Averaging Property of Andrews-Burge.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1996

An umbral relation between pattern and commutation in strings.

Ian P. Goulden, David M. Jackson, C. M. Springer

Discret. Math., 1996

1995

Shift Operators and Factorial Symmetric Functions.

I. P. Goulden, Angèle M. Hamel

J. Comb. Theory, Ser. A, 1995

Planar decompositions of tableaux and Schur function determinants.

Angèle M. Hamel, Ian P. Goulden

Eur. J. Comb., 1995

1993

Labelled trees and factorizations of a cycle into transpositions.

I. P. Goulden, S. Pepper

Discret. Math., 1993

1992

The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group.

Ian P. Goulden, David M. Jackson

Eur. J. Comb., 1992

A linear operator for symmetric functions and tableaux in a strip with given trace.

I. P. Goulden

Discret. Math., 1992

1991

The Number of Involutions with r Fixed Points and a Long Increasing Subsequence.

I. P. Goulden

Eur. J. Comb., 1991

1990

A combinatorial construction for products of linear transformations over a finite field.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1990

1988

Quadratic Forms of Skew Schur Functions.

Ian P. Goulden

Eur. J. Comb., 1988

1987

Labelled graphs with vertices of degree at least three.

I. P. Goulden, David M. Jackson

J. Graph Theory, 1987

1986

Distributions, continued fractions, and the Ehrenfest Urn model.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1986

Path generating functions and continued fractions.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1986

Shanks' convergence acceleration transform, Padé approximants and partitions.

George E. Andrews, Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1986

1985

Ballot Sequences and a Determinant of Good's.

Ian P. Goulden, David M. Jackson

J. Comb. Theory, Ser. A, 1985

A bijective proof of the q-Saalschütz theorem.

I. P. Goulden

Discret. Math., 1985

1983

An Inversion Model for q-Identities.

Ian P. Goulden, David M. Jackson

Eur. J. Comb., 1983

1981

The Enumeration of Directed Closed Euler Trails and Directed Hamiltonian Circuits by Lagrangian Methods.

Ian P. Goulden, David M. Jackson

Eur. J. Comb., 1981

A combinatorial application of matrix Riccati equations and their q-analogue.

C. B. Collins, I. P. Goulden, David M. Jackson, Oscar Nierstrasz

Discret. Math., 1981

1978

The enumeration of generalised alternating subsets with congruences.

I. P. Goulden, David M. Jackson

Discret. Math., 1978