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## Goulden, Ian P.

Compute Distance To:
 Author ID: goulden.ian-p Published as: Goulden, I.; Goulden, I. P.; Goulden, Ian; Goulden, Ian P.
 Documents Indexed: 108 Publications since 1978, including 3 Books
all top 5

#### Co-Authors

 12 single-authored 56 Jackson, David M. 5 Guay-Paquet, Mathieu 5 Novak, Jonathan I. 4 Stanton, Ralph Gordon 4 Vakil, Ravi 3 Andrews, George Eyre 3 Hamel, Angèle M. 3 Nica, Alexandru 2 Bressoud, David M. 2 Carrell, Sean R. 2 Féray, Valentin 2 Greene, Curtis 2 Kwak, Jin Ho 2 Lee, Jaeun 2 Serrano, Luis G. 2 Yong, Alexander 1 Arnason, A. Neil 1 Bergeron, Nantel 1 Bini, Gilberto 1 Collins, C. B. 1 Dollhopf, John 1 Granville, Andrew James 1 Harer, John L. 1 Huynh, Duc Khiem 1 Kulkarni, Devadatta M. 1 Latour, F. G. 1 Litsyn, Simon N. 1 Nierstrasz, Oscar M. 1 Oancea, Ion 1 Pepper, S. V. 1 Puder, Doron 1 Rattan, Amarpreet 1 Reilly, James W. 1 Richmond, L. Bruce 1 Rishikesh, N. 1 Rubinstein, Michael O. 1 Shallit, Jeffrey O. 1 Shevelev, Vladimir Samuil 1 Shuldiner, Pavel 1 Slofstra, William 1 Sottile, Frank 1 Springer, C. M. 1 Vainshtein, Alek 1 Vanstone, Scott Alexander 1 West, J. R.
all top 5

#### Serials

 16 Journal of Combinatorial Theory. Series A 11 Canadian Journal of Mathematics 10 Discrete Mathematics 8 Transactions of the American Mathematical Society 8 European Journal of Combinatorics 5 Studies in Applied Mathematics 5 Annals of Combinatorics 4 Advances in Mathematics 4 Journal of Algebra 3 Ars Combinatoria 3 Proceedings of the American Mathematical Society 2 Utilitas Mathematica 2 SIAM Journal on Algebraic and Discrete Methods 2 Aequationes Mathematicae 1 Communications in Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 The Mathematical Scientist 1 Proceedings of the London Mathematical Society. Third Series 1 IMRN. International Mathematics Research Notices 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Algebraic Combinatorics 1 Annales Mathématiques Blaise Pascal 1 Bulletin of the Institute of Combinatorics and its Applications 1 The Electronic Journal of Combinatorics 1 The Ramanujan Journal 1 Journal of Integer Sequences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Combinatorics
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#### Fields

 99 Combinatorics (05-XX) 13 Algebraic geometry (14-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 8 Number theory (11-XX) 7 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

89 Publications have been cited 1,170 times in 819 Documents Cited by Year
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Zbl 0519.05001
Goulden, I. P.; Jackson, D. M.
1983
Transitive factorisations into transpositions and holomorphic mappings on the sphere. Zbl 0861.05006
Goulden, I. P.; Jackson, D. M.
1997
Towards the geometry of double Hurwitz numbers. Zbl 1086.14022
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2005
The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group. Zbl 0804.05023
Goulden, I. P.; Jackson, D. M.
1992
Monotone Hurwitz numbers and the HCIZ integral. Zbl 1296.05202
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2014
The number of ramified coverings of the sphere by the torus and surfaces of higher genera. Zbl 0957.58011
Goulden, I. P.; Jackson, D. M.; Vainshtein, A.
2000
The KP hierarchy, branched covers, and triangulations. Zbl 1158.37026
Goulden, I. P.; Jackson, D. M.
2008
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005
Goulden, Ian P.; Jackson, David M.
2004
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2001
Combinatorial enumeration. Transl. from the English by Yu. V. Bolotnikov and A. E. Zhukov. Transl. ed. by V. E. Tarakanov. Zbl 0687.05003
Goulden, I. P.; Jackson, D. M.
1990
An inversion theorem for cluster decompositions of sequences with distinguished subsequences. Zbl 0467.05008
Goulden, I. P.; Jackson, D. M.
1979
A new tableau representation for supersymmetric Schur functions. Zbl 0840.20008
Goulden, Ian; Greene, Curtis
1994
A direct bijection for the Harer-Zagier formula. Zbl 1074.05008
Goulden, I. P.; Nica, A.
2005
Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations. Zbl 0864.05044
Goulden, I. P.; West, J.
1996
Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. Zbl 0858.05097
Goulden, I. P.; Jackson, D. M.
1996
Planar decompositions of tableaux and Schur function determinants. Zbl 0832.05097
Hamel, A. M.; Goulden, I. P.
1995
The number of ramified coverings of the sphere by the double torus, and a general form for higher genera. Zbl 0936.05005
Goulden, I. P.; Jackson, D. M.
1999
Monotone Hurwitz numbers in genus zero. Zbl 1280.05008
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2013
An explicit form for Kerov’s character polynomials. Zbl 1121.05123
Goulden, I. P.; Rattan, A.
2007
Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials. Zbl 0861.05062
Goulden, I. P.; Jackson, D. M.
1996
Maps in locally orientable surfaces and integrals over real symmetric surfaces. Zbl 0903.05016
Goulden, I. P.; Jackson, D. M.
1997
A differential operator for symmetric functions and the combinatorics of multiplying transpositions. Zbl 0805.05086
Goulden, I. P.
1994
Immanants of combinatorial matrices. Zbl 0756.15009
Goulden, I. P.; Jackson, D. M.
1992
Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2016
Tree-like properties of cycle factorizations. Zbl 0992.05002
Goulden, Ian; Yong, Alexander
2002
A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007
Goulden, I. P.; Harer, J. L.; Jackson, D. M.
2001
A proof of a conjecture for the number of ramified coverings of the sphere by the torus. Zbl 0939.05006
Goulden, I. P.; Jackson, D. M.
1999
Polynomiality of monotone Hurwitz numbers in higher genera. Zbl 1285.05008
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2013
Symmetric functions and Macdonald’s result for top connexion coefficients in the symmetric group. Zbl 0830.20021
Goulden, I. P.; Jackson, D. M.
1994
Graph factorization, general triple systems, and cyclic triple systems. Zbl 0466.05011
Stanton, R. G.; Goulden, I. P.
1981
A short proof of the $$\lambda_{g}$$-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2009
Labelled trees and factorizations of a cycle into transpositions. Zbl 0779.05017
Goulden, I. P.; Pepper, S.
1993
Constant term identities extending the $$q$$-Dyson theorem. Zbl 0581.05004
Bressoud, D. M.; Goulden, I. P.
1985
The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031
Goulden, I. P.; Jackson, D. M.; Vakil, Ravi
2011
Transitive powers of Young-Jucys-Murphy elements are central. Zbl 1196.20016
Goulden, I. P.; Jackson, D. M.
2009
A linear operator for symmetric functions and tableaux in a strip with given trace. Zbl 0782.05087
Goulden, I. P.
1992
A bijective proof of the q-Saalschütz theorem. Zbl 0592.05005
Goulden, I. P.
1985
A bijective proof of Stanley’s shuffling theorem. Zbl 0535.05002
Goulden, I. P.
1985
A formal calculus for the enumerative system of sequences. I. Combinatorial theorems. Zbl 0455.05008
Jackson, D. M.; Goulden, I. P.
1979
Symmetric functions, codes of partitions and the KP hierarchy. Zbl 1225.05238
Carrell, S. R.; Goulden, I. P.
2010
Generalizations of Cauchy’s summation theorem for Schur functions. Zbl 0707.05061
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
1988
The Hammond series of a symmetric function and its application to p- recursiveness. Zbl 0527.05006
Goulden, I. P.; Jackson, D. M.; Reilly, J. W.
1983
The generalisation of Tutte’s result for chromatic trees, by Lagrangian methods. Zbl 0492.05037
Jackson, D. M.; Goulden, I. P.
1981
Algebraic methods for permutations with prescribed patterns. Zbl 0489.05008
Jackson, D. M.; Goulden, I. P.
1981
The enumeration of generalised alternating subsets with congruences. Zbl 0392.05006
Goulden, I. P.; Jackson, D. M.
1978
Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
2003
Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope. Zbl 1032.05004
Goulden, I. P.; Serrano, Luis G.
2003
Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory. Zbl 0965.05003
Goulden, Ian P.; Jackson, David M.
2000
Shift operators and factorial symmetric functions. Zbl 0821.05056
Goulden, I. P.; Hamel, A. M.
1995
Immanants, Schur functions, and the MacMahon master theorem. Zbl 0756.15010
Goulden, I. P.; Jackson, D. M.
1992
The enumeration of directed closed Euler trails and directed Hamiltonian circuits by Lagrangian methods. Zbl 0465.05050
Goulden, I. P.; Jackson, D. M.
1981
Inequivalent transitive factorizations into transpositions. Zbl 0986.05003
Goulden, I. P.; Jackson, D. M.; Latour, F. G.
2001
Multivariable Lagrange inversion, Gessel-Viennot cancellation, and the matrix tree theorem. Zbl 0887.05005
Goulden, I. P.; Kulkarni, D. M.
1997
Combinatorial constructions for integrals over normally distributed random matrices. Zbl 0836.05076
Goulden, I. P.; Jackson, D. M.
1995
Exact values for degree sums over strips of Young diagrams. Zbl 0723.05118
Goulden, I. P.
1990
On the convergence of monotone Hurwitz generating functions. Zbl 1359.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2017
Transitive factorizations of permutations and geometry. Zbl 1364.05006
Goulden, I. P.; Jackson, D. M.
2016
A multivariate hook formula for labelled trees. Zbl 1262.05026
Féray, Valentin; Goulden, I. P.
2013
Annular embeddings of permutations for arbitrary genus. Zbl 1228.05013
Goulden, I. P.; Slofstra, William
2010
Words avoiding a reflexive acyclic relation. Zbl 1080.05003
Dollhopf, John; Goulden, Ian; Greene, Curtis
2006
On a sequence arising in algebraic geometry. Zbl 1177.11022
Goulden, I. P.; Litsyn, S.; Shevelev, V.
2005
Quadratic forms of skew Schur functions. Zbl 0651.05011
Goulden, I. P.
1988
Generating functions and reliabilities for consecutive k-out-of-n systems. Zbl 0652.90048
Goulden, I. P.
1987
The generalized plasma in one dimension: Evaluation of a partition function. Zbl 0631.05004
Bressoud, D. M.; Goulden, I. P.
1987
An inversion model for q-identities. Zbl 0527.05003
Goulden, I. P.; Jackson, D. M.
1983
The application of Lagrangian methods to the enumeration of labelled trees with respect to edge partition. Zbl 0518.05042
Goulden, I. P.; Jackson, D. M.
1982
A combinatorial application of matrix Riccati equations and their q- analogue. Zbl 0497.05004
Collins, C. B.; Goulden, I. P.; Jackson, D. M.; Nierstrasz, O. M.
1981
A formal calculus for the enumerative system of sequences. III: Further developments. Zbl 0455.05010
Jackson, D. M.; Goulden, I. P.
1980
A formal calculus for the enumerative system of sequences. II: Applications. Zbl 0455.05009
Jackson, D. M.; Goulden, I. P.
1979
Contents of partitions and the combinatorics of permutation factorizations in genus 0. Zbl 1384.05017
Carrell, S. R.; Goulden, I. P.
2018
Enumerative properties of $${\mathit NC}^{(B)}(p,q)$$. Zbl 1241.06001
Goulden, I. P.; Nica, Alexandru; Oancea, Ion
2011
A simple recurrence for covers of the sphere with branch points of arbitrary ramification. Zbl 1117.05004
Goulden, I. P.; Serrano, Luis G.
2006
Connexion coefficients for the symmetric group, free products in operator algebras and random matrices. Zbl 0889.46052
Goulden, Ian P.; Jackson, David M.
1997
Further determinants with the averaging property of Andrews-Burge. Zbl 0840.15006
Goulden, I. P.; Jackson, D. M.
1996
Lattice paths and a Sergeev-Pragacz formula for skew supersymmetric functions. Zbl 0831.05061
Hamel, A. M.; Goulden, I. P.
1995
Shanks’ convergence acceleration transform, Padé approximants and partitions. Zbl 0617.41030
Andrews, George E.; Goulden, Ian P.; Jackson, David M.
1986
Path generating functions and continued fractions. Zbl 0587.05007
Goulden, I. P.; Jackson, D. M.
1986
Labelled graphs with small vertex degrees and P-recursiveness. Zbl 0582.05035
Goulden, I. P.; Jackson, D. M.
1986
Distributions, continued fractions, and the Ehrenfest urn model. Zbl 0582.05004
Goulden, I. P.; Jackson, D. M.
1986
Directed graphs and the Jacobi-Trudi identity. Zbl 0586.05002
Goulden, I. P.
1985
A correspondence between plane planted chromatic trees and generalised derangements. Zbl 0475.05026
Goulden, I. P.; Jackson, D. M.
1981
The application of algebraic methods to the enumeration of sequences and their q-analogues. Zbl 0443.05007
Goulden, I. P.; Jackson, D. M.
1979
Sequence enumeration and the de Bruijn-van Aardenne Ehrenfest-Smith-Tutte theorem. Zbl 0431.05004
Jackson, D. M.; Goulden, I. P.
1979
Lower order terms for the moments of symplectic and orthogonal families of $$L$$-functions. Zbl 1306.11065
Goulden, Ian P.; Huynh, Duc Khiem; Rishikesh; Rubinstein, Michael O.
2013
Distributions of regular branched surface coverings. Zbl 1036.05019
Goulden, I. P.; Kwak, Jin Ho; Lee, Jaeun
2004
An umbral relation between pattern and commutation in strings. Zbl 0861.05010
Goulden, I. P.; Jackson, D. M.; Springer, C. M.
1996
The number of involutions with $$r$$ fixed points and a long increasing subsequence. Zbl 0749.05066
Goulden, I. P.
1991
Labelled graphs with vertices of degree at least three. Zbl 0656.05036
Goulden, I. P.; Jackson, D. M.
1987
The number of solutions to an equation arising from a problem on Latin squares. Zbl 0509.05021
Goulden, I. P.; Vanstone, S. A.
1983
Contents of partitions and the combinatorics of permutation factorizations in genus 0. Zbl 1384.05017
Carrell, S. R.; Goulden, I. P.
2018
On the convergence of monotone Hurwitz generating functions. Zbl 1359.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2017
Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2016
Transitive factorizations of permutations and geometry. Zbl 1364.05006
Goulden, I. P.; Jackson, D. M.
2016
Monotone Hurwitz numbers and the HCIZ integral. Zbl 1296.05202
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2014
Monotone Hurwitz numbers in genus zero. Zbl 1280.05008
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2013
Polynomiality of monotone Hurwitz numbers in higher genera. Zbl 1285.05008
Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan
2013
A multivariate hook formula for labelled trees. Zbl 1262.05026
Féray, Valentin; Goulden, I. P.
2013
Lower order terms for the moments of symplectic and orthogonal families of $$L$$-functions. Zbl 1306.11065
Goulden, Ian P.; Huynh, Duc Khiem; Rishikesh; Rubinstein, Michael O.
2013
The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031
Goulden, I. P.; Jackson, D. M.; Vakil, Ravi
2011
Enumerative properties of $${\mathit NC}^{(B)}(p,q)$$. Zbl 1241.06001
Goulden, I. P.; Nica, Alexandru; Oancea, Ion
2011
Symmetric functions, codes of partitions and the KP hierarchy. Zbl 1225.05238
Carrell, S. R.; Goulden, I. P.
2010
Annular embeddings of permutations for arbitrary genus. Zbl 1228.05013
Goulden, I. P.; Slofstra, William
2010
A short proof of the $$\lambda_{g}$$-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2009
Transitive powers of Young-Jucys-Murphy elements are central. Zbl 1196.20016
Goulden, I. P.; Jackson, D. M.
2009
The KP hierarchy, branched covers, and triangulations. Zbl 1158.37026
Goulden, I. P.; Jackson, D. M.
2008
An explicit form for Kerov’s character polynomials. Zbl 1121.05123
Goulden, I. P.; Rattan, A.
2007
Words avoiding a reflexive acyclic relation. Zbl 1080.05003
Dollhopf, John; Goulden, Ian; Greene, Curtis
2006
A simple recurrence for covers of the sphere with branch points of arbitrary ramification. Zbl 1117.05004
Goulden, I. P.; Serrano, Luis G.
2006
Towards the geometry of double Hurwitz numbers. Zbl 1086.14022
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2005
A direct bijection for the Harer-Zagier formula. Zbl 1074.05008
Goulden, I. P.; Nica, A.
2005
On a sequence arising in algebraic geometry. Zbl 1177.11022
Goulden, I. P.; Litsyn, S.; Shevelev, V.
2005
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005
Goulden, Ian P.; Jackson, David M.
2004
Distributions of regular branched surface coverings. Zbl 1036.05019
Goulden, I. P.; Kwak, Jin Ho; Lee, Jaeun
2004
Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
2003
Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope. Zbl 1032.05004
Goulden, I. P.; Serrano, Luis G.
2003
Tree-like properties of cycle factorizations. Zbl 0992.05002
Goulden, Ian; Yong, Alexander
2002
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520
Goulden, I. P.; Jackson, D. M.; Vakil, R.
2001
A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007
Goulden, I. P.; Harer, J. L.; Jackson, D. M.
2001
Inequivalent transitive factorizations into transpositions. Zbl 0986.05003
Goulden, I. P.; Jackson, D. M.; Latour, F. G.
2001
The number of ramified coverings of the sphere by the torus and surfaces of higher genera. Zbl 0957.58011
Goulden, I. P.; Jackson, D. M.; Vainshtein, A.
2000
Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory. Zbl 0965.05003
Goulden, Ian P.; Jackson, David M.
2000
The number of ramified coverings of the sphere by the double torus, and a general form for higher genera. Zbl 0936.05005
Goulden, I. P.; Jackson, D. M.
1999
A proof of a conjecture for the number of ramified coverings of the sphere by the torus. Zbl 0939.05006
Goulden, I. P.; Jackson, D. M.
1999
Transitive factorisations into transpositions and holomorphic mappings on the sphere. Zbl 0861.05006
Goulden, I. P.; Jackson, D. M.
1997
Maps in locally orientable surfaces and integrals over real symmetric surfaces. Zbl 0903.05016
Goulden, I. P.; Jackson, D. M.
1997
Multivariable Lagrange inversion, Gessel-Viennot cancellation, and the matrix tree theorem. Zbl 0887.05005
Goulden, I. P.; Kulkarni, D. M.
1997
Connexion coefficients for the symmetric group, free products in operator algebras and random matrices. Zbl 0889.46052
Goulden, Ian P.; Jackson, David M.
1997
Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations. Zbl 0864.05044
Goulden, I. P.; West, J.
1996
Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. Zbl 0858.05097
Goulden, I. P.; Jackson, D. M.
1996
Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials. Zbl 0861.05062
Goulden, I. P.; Jackson, D. M.
1996
Further determinants with the averaging property of Andrews-Burge. Zbl 0840.15006
Goulden, I. P.; Jackson, D. M.
1996
An umbral relation between pattern and commutation in strings. Zbl 0861.05010
Goulden, I. P.; Jackson, D. M.; Springer, C. M.
1996
Planar decompositions of tableaux and Schur function determinants. Zbl 0832.05097
Hamel, A. M.; Goulden, I. P.
1995
Shift operators and factorial symmetric functions. Zbl 0821.05056
Goulden, I. P.; Hamel, A. M.
1995
Combinatorial constructions for integrals over normally distributed random matrices. Zbl 0836.05076
Goulden, I. P.; Jackson, D. M.
1995
Lattice paths and a Sergeev-Pragacz formula for skew supersymmetric functions. Zbl 0831.05061
Hamel, A. M.; Goulden, I. P.
1995
A new tableau representation for supersymmetric Schur functions. Zbl 0840.20008
Goulden, Ian; Greene, Curtis
1994
A differential operator for symmetric functions and the combinatorics of multiplying transpositions. Zbl 0805.05086
Goulden, I. P.
1994
Symmetric functions and Macdonald’s result for top connexion coefficients in the symmetric group. Zbl 0830.20021
Goulden, I. P.; Jackson, D. M.
1994
Labelled trees and factorizations of a cycle into transpositions. Zbl 0779.05017
Goulden, I. P.; Pepper, S.
1993
The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group. Zbl 0804.05023
Goulden, I. P.; Jackson, D. M.
1992
Immanants of combinatorial matrices. Zbl 0756.15009
Goulden, I. P.; Jackson, D. M.
1992
A linear operator for symmetric functions and tableaux in a strip with given trace. Zbl 0782.05087
Goulden, I. P.
1992
Immanants, Schur functions, and the MacMahon master theorem. Zbl 0756.15010
Goulden, I. P.; Jackson, D. M.
1992
The number of involutions with $$r$$ fixed points and a long increasing subsequence. Zbl 0749.05066
Goulden, I. P.
1991
Combinatorial enumeration. Transl. from the English by Yu. V. Bolotnikov and A. E. Zhukov. Transl. ed. by V. E. Tarakanov. Zbl 0687.05003
Goulden, I. P.; Jackson, D. M.
1990
Exact values for degree sums over strips of Young diagrams. Zbl 0723.05118
Goulden, I. P.
1990
Generalizations of Cauchy’s summation theorem for Schur functions. Zbl 0707.05061
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
1988
Quadratic forms of skew Schur functions. Zbl 0651.05011
Goulden, I. P.
1988
Generating functions and reliabilities for consecutive k-out-of-n systems. Zbl 0652.90048
Goulden, I. P.
1987
The generalized plasma in one dimension: Evaluation of a partition function. Zbl 0631.05004
Bressoud, D. M.; Goulden, I. P.
1987
Labelled graphs with vertices of degree at least three. Zbl 0656.05036
Goulden, I. P.; Jackson, D. M.
1987
Shanks’ convergence acceleration transform, Padé approximants and partitions. Zbl 0617.41030
Andrews, George E.; Goulden, Ian P.; Jackson, David M.
1986
Path generating functions and continued fractions. Zbl 0587.05007
Goulden, I. P.; Jackson, D. M.
1986
Labelled graphs with small vertex degrees and P-recursiveness. Zbl 0582.05035
Goulden, I. P.; Jackson, D. M.
1986
Distributions, continued fractions, and the Ehrenfest urn model. Zbl 0582.05004
Goulden, I. P.; Jackson, D. M.
1986
Constant term identities extending the $$q$$-Dyson theorem. Zbl 0581.05004
Bressoud, D. M.; Goulden, I. P.
1985
A bijective proof of the q-Saalschütz theorem. Zbl 0592.05005
Goulden, I. P.
1985
A bijective proof of Stanley’s shuffling theorem. Zbl 0535.05002
Goulden, I. P.
1985
Directed graphs and the Jacobi-Trudi identity. Zbl 0586.05002
Goulden, I. P.
1985
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Zbl 0519.05001
Goulden, I. P.; Jackson, D. M.
1983
The Hammond series of a symmetric function and its application to p- recursiveness. Zbl 0527.05006
Goulden, I. P.; Jackson, D. M.; Reilly, J. W.
1983
An inversion model for q-identities. Zbl 0527.05003
Goulden, I. P.; Jackson, D. M.
1983
The number of solutions to an equation arising from a problem on Latin squares. Zbl 0509.05021
Goulden, I. P.; Vanstone, S. A.
1983
The application of Lagrangian methods to the enumeration of labelled trees with respect to edge partition. Zbl 0518.05042
Goulden, I. P.; Jackson, D. M.
1982
Graph factorization, general triple systems, and cyclic triple systems. Zbl 0466.05011
Stanton, R. G.; Goulden, I. P.
1981
The generalisation of Tutte’s result for chromatic trees, by Lagrangian methods. Zbl 0492.05037
Jackson, D. M.; Goulden, I. P.
1981
Algebraic methods for permutations with prescribed patterns. Zbl 0489.05008
Jackson, D. M.; Goulden, I. P.
1981
The enumeration of directed closed Euler trails and directed Hamiltonian circuits by Lagrangian methods. Zbl 0465.05050
Goulden, I. P.; Jackson, D. M.
1981
A combinatorial application of matrix Riccati equations and their q- analogue. Zbl 0497.05004
Collins, C. B.; Goulden, I. P.; Jackson, D. M.; Nierstrasz, O. M.
1981
A correspondence between plane planted chromatic trees and generalised derangements. Zbl 0475.05026
Goulden, I. P.; Jackson, D. M.
1981
A formal calculus for the enumerative system of sequences. III: Further developments. Zbl 0455.05010
Jackson, D. M.; Goulden, I. P.
1980
An inversion theorem for cluster decompositions of sequences with distinguished subsequences. Zbl 0467.05008
Goulden, I. P.; Jackson, D. M.
1979
A formal calculus for the enumerative system of sequences. I. Combinatorial theorems. Zbl 0455.05008
Jackson, D. M.; Goulden, I. P.
1979
A formal calculus for the enumerative system of sequences. II: Applications. Zbl 0455.05009
Jackson, D. M.; Goulden, I. P.
1979
The application of algebraic methods to the enumeration of sequences and their q-analogues. Zbl 0443.05007
Goulden, I. P.; Jackson, D. M.
1979
Sequence enumeration and the de Bruijn-van Aardenne Ehrenfest-Smith-Tutte theorem. Zbl 0431.05004
Jackson, D. M.; Goulden, I. P.
1979
The enumeration of generalised alternating subsets with congruences. Zbl 0392.05006
Goulden, I. P.; Jackson, D. M.
1978
all top 5

#### Cited by 872 Authors

 45 Goulden, Ian P. 40 Jackson, David M. 18 Flajolet, Philippe 16 Chen, William Yong-Chuan 14 Féray, Valentin 12 Chapuy, Guillaume 12 Shadrin, Sergey V. 10 Gessel, Ira Martin 10 Harnad, John 10 Śniady, Piotr 9 Bernardi, Olivier 9 Bousquet-Mélou, Mireille 9 Pak, Igor 9 Zeilberger, Doron 9 Zeng, Jiang 8 Cavalieri, Renzo 8 Dołȩga, Maciej 8 Rattan, Amarpreet 8 Vassilieva, Ekaterina A. 7 Chu, Wenchang 7 Kazaryan, Maxim Eduardovich 7 Labelle, Gilbert 7 Liu, Yanpei 7 Morales, Alejandro H. 7 Natanzon, Sergei M. 7 Novak, Jonathan I. 6 Defant, Colin 6 Eynard, Bertrand 6 Fusy, Éric 6 Guay-Paquet, Mathieu 6 Lando, Sergei K. 6 Lewanski, Danilo 6 Louck, James D. 6 Mansour, Toufik 6 Mironov, Andrei D. 6 Morozov, Alexei Yurievich 6 Mulase, Motohico 6 Petrogradsky, Victor Mikhaylovich 6 Prodinger, Helmut 6 Schaeffer, Gilles 6 Sprugnoli, Renzo 6 Vakil, Ravi 6 Voblyi, Vitaliy A. 6 Yang, Arthur L. B. 6 Zvonkine, Dimitri 5 Arquès, Didier G. 5 Elizalde, Sergi 5 Irving, John 5 Kirschenhofer, Peter 5 Krattenthaler, Christian Friedrich 5 Leroux, Pierre 5 Louf, Baptiste 5 Markwig, Hannah 5 Munagi, Augustine O. 5 Nadeau, Philippe 5 Noy, Marc 5 Rawlings, Don 5 Ren, Han 5 Shapiro, Louis W. 5 Stanley, Richard Peter 5 Visentin, Terry I. 5 Zhou, Jian 4 Anas Hahn, Marvin 4 Böhm, Walter 4 Bóna, Miklós 4 Curien, Nicolas 4 Dunin-Barkovskiĭ, Petr Igorevich 4 Guo, Victor J. W. 4 Hamel, Angèle M. 4 Kitaev, Sergey 4 Konvalinka, Matjaž 4 Kramer, Reinier 4 Liu, Kefeng 4 Merlini, Donatella 4 Müller, Thomas W. 4 Orlov, Aleksandr Yu. 4 Postnikov, Alexander 4 Xin, Guoce 3 Alexandrov, Alexander Sergeevich 3 Ambjørn, Jan 3 Brenti, Francesco 3 Bressoud, David M. 3 Bychkov, Boris S. 3 Carrell, Sean R. 3 Chekhov, Leonid O. 3 Del Lungo, Alberto 3 Do, Norman 3 Drmota, Michael 3 Du, Rosena R. X. 3 Edelman, Alan Stuart 3 Eryılmaz, Serkan N. 3 Jing, Naihuan 3 Johnson, Paul E. 3 Károlyi, Gyula 3 King, Ronald C. 3 Kortchemski, Igor 3 Kyriakoussis, Andreas George 3 La Croix, Michael A. 3 Lam, Tao Kai 3 Lassalle, Michel ...and 772 more Authors
all top 5

#### Cited in 167 Serials

 94 Discrete Mathematics 84 Journal of Combinatorial Theory. Series A 54 European Journal of Combinatorics 35 Advances in Applied Mathematics 34 Advances in Mathematics 26 Theoretical Computer Science 25 Transactions of the American Mathematical Society 24 Journal of Algebraic Combinatorics 18 Communications in Mathematical Physics 16 Discrete Applied Mathematics 15 Linear Algebra and its Applications 14 Séminaire Lotharingien de Combinatoire 13 Journal of Algebra 13 Journal of Statistical Planning and Inference 10 Journal of Mathematical Physics 10 Proceedings of the American Mathematical Society 10 Journal of Mathematical Sciences (New York) 10 The Electronic Journal of Combinatorics 10 Annals of Combinatorics 9 Journal of Geometry and Physics 9 Journal of Combinatorial Theory. Series B 8 Letters in Mathematical Physics 8 Mathematical Notes 7 Journal of High Energy Physics 6 Functional Analysis and its Applications 6 Journal of Computational and Applied Mathematics 6 Journal of Pure and Applied Algebra 6 Graphs and Combinatorics 6 Journal of Difference Equations and Applications 6 The Ramanujan Journal 5 Studies in Applied Mathematics 5 Probability Theory and Related Fields 4 Nuclear Physics. B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of the American Mathematical Society 4 Mathematical and Computer Modelling 4 International Journal of Algebra and Computation 4 Selecta Mathematica. New Series 4 Geometry & Topology 3 Journal of Mathematical Analysis and Applications 3 Rocky Mountain Journal of Mathematics 3 Theoretical and Mathematical Physics 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Aequationes Mathematicae 3 Combinatorics, Probability and Computing 3 Acta Mathematica Sinica. English Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Physics A: Mathematical and Theoretical 3 Random Matrices: Theory and Applications 3 Algebraic Combinatorics 2 Modern Physics Letters A 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Computers & Mathematics with Applications 2 Information Processing Letters 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Journal of Statistical Physics 2 The Annals of Probability 2 Canadian Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Statistics & Probability Letters 2 Applied Mathematics Letters 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 RAIRO. Informatique Théorique et Applications 2 Journal of Knot Theory and its Ramifications 2 The Australasian Journal of Combinatorics 2 Journal of Integer Sequences 2 Annales Henri Poincaré 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Annales Henri Lebesgue 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 American Mathematical Monthly 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation ...and 67 more Serials
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#### Cited in 50 Fields

 603 Combinatorics (05-XX) 113 Algebraic geometry (14-XX) 83 Group theory and generalizations (20-XX) 69 Probability theory and stochastic processes (60-XX) 66 Number theory (11-XX) 57 Computer science (68-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 55 Special functions (33-XX) 47 Quantum theory (81-XX) 34 Dynamical systems and ergodic theory (37-XX) 27 Manifolds and cell complexes (57-XX) 26 Nonassociative rings and algebras (17-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 18 Statistics (62-XX) 17 Associative rings and algebras (16-XX) 12 Functions of a complex variable (30-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Ordinary differential equations (34-XX) 10 Convex and discrete geometry (52-XX) 9 Commutative algebra (13-XX) 9 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 7 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Category theory; homological algebra (18-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)