Edit Profile Goulden, Ian P. Compute Distance To: Compute 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0519.05001Goulden, I. P.; Jackson, D. M. 317 1983 Transitive factorisations into transpositions and holomorphic mappings on the sphere. Zbl 0861.05006Goulden, I. P.; Jackson, D. M. 70 1997 Towards the geometry of double Hurwitz numbers. Zbl 1086.14022Goulden, I. P.; Jackson, D. M.; Vakil, R. 40 2005 The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group. Zbl 0804.05023Goulden, I. P.; Jackson, D. M. 36 1992 Monotone Hurwitz numbers and the HCIZ integral. Zbl 1296.05202Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 34 2014 The number of ramified coverings of the sphere by the torus and surfaces of higher genera. Zbl 0957.58011Goulden, I. P.; Jackson, D. M.; Vainshtein, A. 33 2000 The KP hierarchy, branched covers, and triangulations. Zbl 1158.37026Goulden, I. P.; Jackson, D. M. 30 2008 Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005Goulden, Ian P.; Jackson, David M. 29 2004 The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520Goulden, I. P.; Jackson, D. M.; Vakil, R. 25 2001 Combinatorial enumeration. Transl. from the English by Yu. V. Bolotnikov and A. E. Zhukov. Transl. ed. by V. E. Tarakanov. Zbl 0687.05003Goulden, I. P.; Jackson, D. M. 25 1990 An inversion theorem for cluster decompositions of sequences with distinguished subsequences. Zbl 0467.05008Goulden, I. P.; Jackson, D. M. 25 1979 A new tableau representation for supersymmetric Schur functions. Zbl 0840.20008Goulden, Ian; Greene, Curtis 22 1994 A direct bijection for the Harer-Zagier formula. Zbl 1074.05008Goulden, I. P.; Nica, A. 19 2005 Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations. Zbl 0864.05044Goulden, I. P.; West, J. 19 1996 Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. Zbl 0858.05097Goulden, I. P.; Jackson, D. M. 19 1996 Planar decompositions of tableaux and Schur function determinants. Zbl 0832.05097Hamel, A. M.; Goulden, I. P. 18 1995 The number of ramified coverings of the sphere by the double torus, and a general form for higher genera. Zbl 0936.05005Goulden, I. P.; Jackson, D. M. 16 1999 Monotone Hurwitz numbers in genus zero. Zbl 1280.05008Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 14 2013 An explicit form for Kerov’s character polynomials. Zbl 1121.05123Goulden, I. P.; Rattan, A. 14 2007 Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials. Zbl 0861.05062Goulden, I. P.; Jackson, D. M. 14 1996 Maps in locally orientable surfaces and integrals over real symmetric surfaces. Zbl 0903.05016Goulden, I. P.; Jackson, D. M. 13 1997 A differential operator for symmetric functions and the combinatorics of multiplying transpositions. Zbl 0805.05086Goulden, I. P. 13 1994 Immanants of combinatorial matrices. Zbl 0756.15009Goulden, I. P.; Jackson, D. M. 13 1992 Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 12 2016 Tree-like properties of cycle factorizations. Zbl 0992.05002Goulden, Ian; Yong, Alexander 12 2002 A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007Goulden, I. P.; Harer, J. L.; Jackson, D. M. 12 2001 A proof of a conjecture for the number of ramified coverings of the sphere by the torus. Zbl 0939.05006Goulden, I. P.; Jackson, D. M. 12 1999 Polynomiality of monotone Hurwitz numbers in higher genera. Zbl 1285.05008Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 11 2013 Symmetric functions and Macdonald’s result for top connexion coefficients in the symmetric group. Zbl 0830.20021Goulden, I. P.; Jackson, D. M. 11 1994 Graph factorization, general triple systems, and cyclic triple systems. Zbl 0466.05011Stanton, R. G.; Goulden, I. P. 11 1981 A short proof of the \(\lambda_{g}\)-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068Goulden, I. P.; Jackson, D. M.; Vakil, R. 9 2009 Labelled trees and factorizations of a cycle into transpositions. Zbl 0779.05017Goulden, I. P.; Pepper, S. 9 1993 Constant term identities extending the \(q\)-Dyson theorem. Zbl 0581.05004Bressoud, D. M.; Goulden, I. P. 9 1985 The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031Goulden, I. P.; Jackson, D. M.; Vakil, Ravi 8 2011 Transitive powers of Young-Jucys-Murphy elements are central. Zbl 1196.20016Goulden, I. P.; Jackson, D. M. 8 2009 A linear operator for symmetric functions and tableaux in a strip with given trace. Zbl 0782.05087Goulden, I. P. 8 1992 A bijective proof of the q-Saalschütz theorem. Zbl 0592.05005Goulden, I. P. 8 1985 A bijective proof of Stanley’s shuffling theorem. Zbl 0535.05002Goulden, I. P. 7 1985 A formal calculus for the enumerative system of sequences. I. Combinatorial theorems. Zbl 0455.05008Jackson, D. M.; Goulden, I. P. 7 1979 Symmetric functions, codes of partitions and the KP hierarchy. Zbl 1225.05238Carrell, S. R.; Goulden, I. P. 6 2010 Generalizations of Cauchy’s summation theorem for Schur functions. Zbl 0707.05061Andrews, G. E.; Goulden, I. P.; Jackson, D. M. 6 1988 The Hammond series of a symmetric function and its application to p- recursiveness. Zbl 0527.05006Goulden, I. P.; Jackson, D. M.; Reilly, J. W. 6 1983 The generalisation of Tutte’s result for chromatic trees, by Lagrangian methods. Zbl 0492.05037Jackson, D. M.; Goulden, I. P. 6 1981 Algebraic methods for permutations with prescribed patterns. Zbl 0489.05008Jackson, D. M.; Goulden, I. P. 6 1981 The enumeration of generalised alternating subsets with congruences. Zbl 0392.05006Goulden, I. P.; Jackson, D. M. 6 1978 Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313Andrews, G. E.; Goulden, I. P.; Jackson, D. M. 5 2003 Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope. Zbl 1032.05004Goulden, I. P.; Serrano, Luis G. 5 2003 Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory. Zbl 0965.05003Goulden, Ian P.; Jackson, David M. 5 2000 Shift operators and factorial symmetric functions. Zbl 0821.05056Goulden, I. P.; Hamel, A. M. 5 1995 Immanants, Schur functions, and the MacMahon master theorem. Zbl 0756.15010Goulden, I. P.; Jackson, D. M. 5 1992 The enumeration of directed closed Euler trails and directed Hamiltonian circuits by Lagrangian methods. Zbl 0465.05050Goulden, I. P.; Jackson, D. M. 5 1981 Inequivalent transitive factorizations into transpositions. Zbl 0986.05003Goulden, I. P.; Jackson, D. M.; Latour, F. G. 4 2001 Multivariable Lagrange inversion, Gessel-Viennot cancellation, and the matrix tree theorem. Zbl 0887.05005Goulden, I. P.; Kulkarni, D. M. 4 1997 Combinatorial constructions for integrals over normally distributed random matrices. Zbl 0836.05076Goulden, I. P.; Jackson, D. M. 4 1995 Exact values for degree sums over strips of Young diagrams. Zbl 0723.05118Goulden, I. P. 4 1990 On the convergence of monotone Hurwitz generating functions. Zbl 1359.05003Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 3 2017 Transitive factorizations of permutations and geometry. Zbl 1364.05006Goulden, I. P.; Jackson, D. M. 3 2016 A multivariate hook formula for labelled trees. Zbl 1262.05026Féray, Valentin; Goulden, I. P. 3 2013 Annular embeddings of permutations for arbitrary genus. Zbl 1228.05013Goulden, I. P.; Slofstra, William 3 2010 Words avoiding a reflexive acyclic relation. Zbl 1080.05003Dollhopf, John; Goulden, Ian; Greene, Curtis 3 2006 On a sequence arising in algebraic geometry. Zbl 1177.11022Goulden, I. P.; Litsyn, S.; Shevelev, V. 3 2005 Quadratic forms of skew Schur functions. Zbl 0651.05011Goulden, I. P. 3 1988 Generating functions and reliabilities for consecutive k-out-of-n systems. Zbl 0652.90048Goulden, I. P. 3 1987 The generalized plasma in one dimension: Evaluation of a partition function. Zbl 0631.05004Bressoud, D. M.; Goulden, I. P. 3 1987 An inversion model for q-identities. Zbl 0527.05003Goulden, I. P.; Jackson, D. M. 3 1983 The application of Lagrangian methods to the enumeration of labelled trees with respect to edge partition. Zbl 0518.05042Goulden, I. P.; Jackson, D. M. 3 1982 A combinatorial application of matrix Riccati equations and their q- analogue. Zbl 0497.05004Collins, C. B.; Goulden, I. P.; Jackson, D. M.; Nierstrasz, O. M. 3 1981 A formal calculus for the enumerative system of sequences. III: Further developments. Zbl 0455.05010Jackson, D. M.; Goulden, I. P. 3 1980 A formal calculus for the enumerative system of sequences. II: Applications. Zbl 0455.05009Jackson, D. M.; Goulden, I. P. 3 1979 Contents of partitions and the combinatorics of permutation factorizations in genus 0. Zbl 1384.05017Carrell, S. R.; Goulden, I. P. 2 2018 Enumerative properties of \({\mathit NC}^{(B)}(p,q)\). Zbl 1241.06001Goulden, I. P.; Nica, Alexandru; Oancea, Ion 2 2011 A simple recurrence for covers of the sphere with branch points of arbitrary ramification. Zbl 1117.05004Goulden, I. P.; Serrano, Luis G. 2 2006 Connexion coefficients for the symmetric group, free products in operator algebras and random matrices. Zbl 0889.46052Goulden, Ian P.; Jackson, David M. 2 1997 Further determinants with the averaging property of Andrews-Burge. Zbl 0840.15006Goulden, I. P.; Jackson, D. M. 2 1996 Lattice paths and a Sergeev-Pragacz formula for skew supersymmetric functions. Zbl 0831.05061Hamel, A. M.; Goulden, I. P. 2 1995 Shanks’ convergence acceleration transform, Padé approximants and partitions. Zbl 0617.41030Andrews, George E.; Goulden, Ian P.; Jackson, David M. 2 1986 Path generating functions and continued fractions. Zbl 0587.05007Goulden, I. P.; Jackson, D. M. 2 1986 Labelled graphs with small vertex degrees and P-recursiveness. Zbl 0582.05035Goulden, I. P.; Jackson, D. M. 2 1986 Distributions, continued fractions, and the Ehrenfest urn model. Zbl 0582.05004Goulden, I. P.; Jackson, D. M. 2 1986 Directed graphs and the Jacobi-Trudi identity. Zbl 0586.05002Goulden, I. P. 2 1985 A correspondence between plane planted chromatic trees and generalised derangements. Zbl 0475.05026Goulden, I. P.; Jackson, D. M. 2 1981 The application of algebraic methods to the enumeration of sequences and their q-analogues. Zbl 0443.05007Goulden, I. P.; Jackson, D. M. 2 1979 Sequence enumeration and the de Bruijn-van Aardenne Ehrenfest-Smith-Tutte theorem. Zbl 0431.05004Jackson, D. M.; Goulden, I. P. 2 1979 Lower order terms for the moments of symplectic and orthogonal families of \(L\)-functions. Zbl 1306.11065Goulden, Ian P.; Huynh, Duc Khiem; Rishikesh; Rubinstein, Michael O. 1 2013 Distributions of regular branched surface coverings. Zbl 1036.05019Goulden, I. P.; Kwak, Jin Ho; Lee, Jaeun 1 2004 An umbral relation between pattern and commutation in strings. Zbl 0861.05010Goulden, I. P.; Jackson, D. M.; Springer, C. M. 1 1996 The number of involutions with \(r\) fixed points and a long increasing subsequence. Zbl 0749.05066Goulden, I. P. 1 1991 Labelled graphs with vertices of degree at least three. Zbl 0656.05036Goulden, I. P.; Jackson, D. M. 1 1987 The number of solutions to an equation arising from a problem on Latin squares. Zbl 0509.05021Goulden, I. P.; Vanstone, S. A. 1 1983 Contents of partitions and the combinatorics of permutation factorizations in genus 0. Zbl 1384.05017Carrell, S. R.; Goulden, I. P. 2 2018 On the convergence of monotone Hurwitz generating functions. Zbl 1359.05003Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 3 2017 Toda equations and piecewise polynomiality for mixed double Hurwitz numbers. Zbl 1336.05003Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 12 2016 Transitive factorizations of permutations and geometry. Zbl 1364.05006Goulden, I. P.; Jackson, D. M. 3 2016 Monotone Hurwitz numbers and the HCIZ integral. Zbl 1296.05202Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 34 2014 Monotone Hurwitz numbers in genus zero. Zbl 1280.05008Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 14 2013 Polynomiality of monotone Hurwitz numbers in higher genera. Zbl 1285.05008Goulden, I. P.; Guay-Paquet, Mathieu; Novak, Jonathan 11 2013 A multivariate hook formula for labelled trees. Zbl 1262.05026Féray, Valentin; Goulden, I. P. 3 2013 Lower order terms for the moments of symplectic and orthogonal families of \(L\)-functions. Zbl 1306.11065Goulden, Ian P.; Huynh, Duc Khiem; Rishikesh; Rubinstein, Michael O. 1 2013 The moduli space of curves, double Hurwitz numbers, and Faber’s intersection number conjecture. Zbl 1236.14031Goulden, I. P.; Jackson, D. M.; Vakil, Ravi 8 2011 Enumerative properties of \({\mathit NC}^{(B)}(p,q)\). Zbl 1241.06001Goulden, I. P.; Nica, Alexandru; Oancea, Ion 2 2011 Symmetric functions, codes of partitions and the KP hierarchy. Zbl 1225.05238Carrell, S. R.; Goulden, I. P. 6 2010 Annular embeddings of permutations for arbitrary genus. Zbl 1228.05013Goulden, I. P.; Slofstra, William 3 2010 A short proof of the \(\lambda_{g}\)-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves. Zbl 1205.14068Goulden, I. P.; Jackson, D. M.; Vakil, R. 9 2009 Transitive powers of Young-Jucys-Murphy elements are central. Zbl 1196.20016Goulden, I. P.; Jackson, D. M. 8 2009 The KP hierarchy, branched covers, and triangulations. Zbl 1158.37026Goulden, I. P.; Jackson, D. M. 30 2008 An explicit form for Kerov’s character polynomials. Zbl 1121.05123Goulden, I. P.; Rattan, A. 14 2007 Words avoiding a reflexive acyclic relation. Zbl 1080.05003Dollhopf, John; Goulden, Ian; Greene, Curtis 3 2006 A simple recurrence for covers of the sphere with branch points of arbitrary ramification. Zbl 1117.05004Goulden, I. P.; Serrano, Luis G. 2 2006 Towards the geometry of double Hurwitz numbers. Zbl 1086.14022Goulden, I. P.; Jackson, D. M.; Vakil, R. 40 2005 A direct bijection for the Harer-Zagier formula. Zbl 1074.05008Goulden, I. P.; Nica, A. 19 2005 On a sequence arising in algebraic geometry. Zbl 1177.11022Goulden, I. P.; Litsyn, S.; Shevelev, V. 3 2005 Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005Goulden, Ian P.; Jackson, David M. 29 2004 Distributions of regular branched surface coverings. Zbl 1036.05019Goulden, I. P.; Kwak, Jin Ho; Lee, Jaeun 1 2004 Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313Andrews, G. E.; Goulden, I. P.; Jackson, D. M. 5 2003 Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope. Zbl 1032.05004Goulden, I. P.; Serrano, Luis G. 5 2003 Tree-like properties of cycle factorizations. Zbl 0992.05002Goulden, Ian; Yong, Alexander 12 2002 The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals. Zbl 1074.14520Goulden, I. P.; Jackson, D. M.; Vakil, R. 25 2001 A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves. Zbl 0981.58007Goulden, I. P.; Harer, J. L.; Jackson, D. M. 12 2001 Inequivalent transitive factorizations into transpositions. Zbl 0986.05003Goulden, I. P.; Jackson, D. M.; Latour, F. G. 4 2001 The number of ramified coverings of the sphere by the torus and surfaces of higher genera. Zbl 0957.58011Goulden, I. P.; Jackson, D. M.; Vainshtein, A. 33 2000 Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory. Zbl 0965.05003Goulden, Ian P.; Jackson, David M. 5 2000 The number of ramified coverings of the sphere by the double torus, and a general form for higher genera. Zbl 0936.05005Goulden, I. P.; Jackson, D. M. 16 1999 A proof of a conjecture for the number of ramified coverings of the sphere by the torus. Zbl 0939.05006Goulden, I. P.; Jackson, D. M. 12 1999 Transitive factorisations into transpositions and holomorphic mappings on the sphere. Zbl 0861.05006Goulden, I. P.; Jackson, D. M. 70 1997 Maps in locally orientable surfaces and integrals over real symmetric surfaces. Zbl 0903.05016Goulden, I. P.; Jackson, D. M. 13 1997 Multivariable Lagrange inversion, Gessel-Viennot cancellation, and the matrix tree theorem. Zbl 0887.05005Goulden, I. P.; Kulkarni, D. M. 4 1997 Connexion coefficients for the symmetric group, free products in operator algebras and random matrices. Zbl 0889.46052Goulden, Ian P.; Jackson, David M. 2 1997 Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations. Zbl 0864.05044Goulden, I. P.; West, J. 19 1996 Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. Zbl 0858.05097Goulden, I. P.; Jackson, D. M. 19 1996 Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials. Zbl 0861.05062Goulden, I. P.; Jackson, D. M. 14 1996 Further determinants with the averaging property of Andrews-Burge. Zbl 0840.15006Goulden, I. P.; Jackson, D. M. 2 1996 An umbral relation between pattern and commutation in strings. Zbl 0861.05010Goulden, I. P.; Jackson, D. M.; Springer, C. M. 1 1996 Planar decompositions of tableaux and Schur function determinants. Zbl 0832.05097Hamel, A. M.; Goulden, I. P. 18 1995 Shift operators and factorial symmetric functions. Zbl 0821.05056Goulden, I. P.; Hamel, A. M. 5 1995 Combinatorial constructions for integrals over normally distributed random matrices. Zbl 0836.05076Goulden, I. P.; Jackson, D. M. 4 1995 Lattice paths and a Sergeev-Pragacz formula for skew supersymmetric functions. Zbl 0831.05061Hamel, A. M.; Goulden, I. P. 2 1995 A new tableau representation for supersymmetric Schur functions. Zbl 0840.20008Goulden, Ian; Greene, Curtis 22 1994 A differential operator for symmetric functions and the combinatorics of multiplying transpositions. Zbl 0805.05086Goulden, I. P. 13 1994 Symmetric functions and Macdonald’s result for top connexion coefficients in the symmetric group. Zbl 0830.20021Goulden, I. P.; Jackson, D. M. 11 1994 Labelled trees and factorizations of a cycle into transpositions. Zbl 0779.05017Goulden, I. P.; Pepper, S. 9 1993 The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group. Zbl 0804.05023Goulden, I. P.; Jackson, D. M. 36 1992 Immanants of combinatorial matrices. Zbl 0756.15009Goulden, I. P.; Jackson, D. M. 13 1992 A linear operator for symmetric functions and tableaux in a strip with given trace. Zbl 0782.05087Goulden, I. P. 8 1992 Immanants, Schur functions, and the MacMahon master theorem. Zbl 0756.15010Goulden, I. P.; Jackson, D. M. 5 1992 The number of involutions with \(r\) fixed points and a long increasing subsequence. Zbl 0749.05066Goulden, I. P. 1 1991 Combinatorial enumeration. Transl. from the English by Yu. V. Bolotnikov and A. E. Zhukov. Transl. ed. by V. E. Tarakanov. Zbl 0687.05003Goulden, I. P.; Jackson, D. M. 25 1990 Exact values for degree sums over strips of Young diagrams. Zbl 0723.05118Goulden, I. P. 4 1990 Generalizations of Cauchy’s summation theorem for Schur functions. Zbl 0707.05061Andrews, G. E.; Goulden, I. P.; Jackson, D. M. 6 1988 Quadratic forms of skew Schur functions. Zbl 0651.05011Goulden, I. P. 3 1988 Generating functions and reliabilities for consecutive k-out-of-n systems. Zbl 0652.90048Goulden, I. P. 3 1987 The generalized plasma in one dimension: Evaluation of a partition function. Zbl 0631.05004Bressoud, D. M.; Goulden, I. P. 3 1987 Labelled graphs with vertices of degree at least three. Zbl 0656.05036Goulden, I. P.; Jackson, D. M. 1 1987 Shanks’ convergence acceleration transform, Padé approximants and partitions. Zbl 0617.41030Andrews, George E.; Goulden, Ian P.; Jackson, David M. 2 1986 Path generating functions and continued fractions. Zbl 0587.05007Goulden, I. P.; Jackson, D. M. 2 1986 Labelled graphs with small vertex degrees and P-recursiveness. Zbl 0582.05035Goulden, I. P.; Jackson, D. M. 2 1986 Distributions, continued fractions, and the Ehrenfest urn model. Zbl 0582.05004Goulden, I. P.; Jackson, D. M. 2 1986 Constant term identities extending the \(q\)-Dyson theorem. Zbl 0581.05004Bressoud, D. M.; Goulden, I. P. 9 1985 A bijective proof of the q-Saalschütz theorem. Zbl 0592.05005Goulden, I. P. 8 1985 A bijective proof of Stanley’s shuffling theorem. Zbl 0535.05002Goulden, I. P. 7 1985 Directed graphs and the Jacobi-Trudi identity. Zbl 0586.05002Goulden, I. P. 2 1985 Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Zbl 0519.05001Goulden, I. P.; Jackson, D. M. 317 1983 The Hammond series of a symmetric function and its application to p- recursiveness. Zbl 0527.05006Goulden, I. P.; Jackson, D. M.; Reilly, J. W. 6 1983 An inversion model for q-identities. Zbl 0527.05003Goulden, I. P.; Jackson, D. M. 3 1983 The number of solutions to an equation arising from a problem on Latin squares. Zbl 0509.05021Goulden, I. P.; Vanstone, S. A. 1 1983 The application of Lagrangian methods to the enumeration of labelled trees with respect to edge partition. Zbl 0518.05042Goulden, I. P.; Jackson, D. M. 3 1982 Graph factorization, general triple systems, and cyclic triple systems. Zbl 0466.05011Stanton, R. G.; Goulden, I. P. 11 1981 The generalisation of Tutte’s result for chromatic trees, by Lagrangian methods. Zbl 0492.05037Jackson, D. M.; Goulden, I. P. 6 1981 Algebraic methods for permutations with prescribed patterns. Zbl 0489.05008Jackson, D. M.; Goulden, I. P. 6 1981 The enumeration of directed closed Euler trails and directed Hamiltonian circuits by Lagrangian methods. Zbl 0465.05050Goulden, I. P.; Jackson, D. M. 5 1981 A combinatorial application of matrix Riccati equations and their q- analogue. Zbl 0497.05004Collins, C. B.; Goulden, I. P.; Jackson, D. M.; Nierstrasz, O. M. 3 1981 A correspondence between plane planted chromatic trees and generalised derangements. Zbl 0475.05026Goulden, I. P.; Jackson, D. M. 2 1981 A formal calculus for the enumerative system of sequences. III: Further developments. Zbl 0455.05010Jackson, D. M.; Goulden, I. P. 3 1980 An inversion theorem for cluster decompositions of sequences with distinguished subsequences. Zbl 0467.05008Goulden, I. P.; Jackson, D. M. 25 1979 A formal calculus for the enumerative system of sequences. I. Combinatorial theorems. Zbl 0455.05008Jackson, D. M.; Goulden, I. P. 7 1979 A formal calculus for the enumerative system of sequences. II: Applications. Zbl 0455.05009Jackson, D. M.; Goulden, I. P. 3 1979 The application of algebraic methods to the enumeration of sequences and their q-analogues. Zbl 0443.05007Goulden, I. P.; Jackson, D. M. 2 1979 Sequence enumeration and the de Bruijn-van Aardenne Ehrenfest-Smith-Tutte theorem. Zbl 0431.05004Jackson, D. M.; Goulden, I. P. 2 1979 The enumeration of generalised alternating subsets with congruences. Zbl 0392.05006Goulden, I. P.; Jackson, D. M. 6 1978 all cited Publications top 5 cited Publications 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. 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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 all top 5 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) Citations by Year