Igor Pak

Orcid: 0000-0001-8579-7239

According to our database1, Igor Pak authored at least 92 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of three.
  • Erdős number3 of two.

Timeline

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Bibliography

2024
Computational complexity of counting coincidences.
Theor. Comput. Sci., 2024

Linear extensions and continued fractions.
Eur. J. Comb., 2024

The bunkbed conjecture is false.
CoRR, 2024

Equality cases of the Stanley-Yan log-concave matroid inequality.
CoRR, 2024

Signed combinatorial interpretations in algebraic combinatorics.
CoRR, 2024

Equality Cases of the Alexandrov-Fenchel Inequality Are Not in the Polynomial Hierarchy.
Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2024

2023
Effective Poset Inequalities.
SIAM J. Discret. Math., September, 2023

Linear extensions of finite posets.
CoRR, 2023

Extensions of the Kahn-Saks inequality for posets of width two.
Comb. Theory, 2023

Positivity of the symmetric group characters is as hard as the polynomial time hierarchy.
Proceedings of the 2023 ACM-SIAM Symposium on Discrete Algorithms, 2023

2022
Log-Concavity in Planar Random Walks.
Comb., December, 2022

Short Presburger Arithmetic Is Hard.
SIAM J. Comput., 2022

Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings.
Comb. Probab. Comput., 2022

What is a combinatorial interpretation?
CoRR, 2022

What is in #P and what is not?
Proceedings of the 63rd IEEE Annual Symposium on Foundations of Computer Science, 2022

2021
Presburger Arithmetic with algebraic scalar multiplications.
Log. Methods Comput. Sci., 2021

On the Number of Integer Points in Translated and Expanded Polyhedra.
Discret. Comput. Geom., 2021

Log-concave poset inequalities.
CoRR, 2021

Sorting probability of Catalan posets.
Adv. Appl. Math., 2021

2020
The Computational Complexity of Integer Programming with Alternations.
Math. Oper. Res., 2020

Hidden Symmetries of Weighted Lozenge Tilings.
Electron. J. Comb., 2020

Counting Linear Extensions of Restricted Posets.
Electron. J. Comb., 2020

2019
On the largest Kronecker and Littlewood-Richardson coefficients.
J. Comb. Theory A, 2019

Kirszbraun-type theorems for graphs.
J. Comb. Theory B, 2019

Limit Shapes via Bijections.
Comb. Probab. Comput., 2019

Combinatorial inequalities.
CoRR, 2019

VC-Dimensions of Short Presburger Formulas.
Comb., 2019

2018
Why Is Pi Less Than Twice Phi?
Am. Math. Mon., 2018

Enumerating Projections of Integer Points in Unbounded Polyhedra.
SIAM J. Discret. Math., 2018

Hook formulas for skew shapes I. <i>q</i>-analogues and bijections.
J. Comb. Theory A, 2018

Asymptotics of the number of standard Young tableaux of skew shape.
Eur. J. Comb., 2018

Complexity problems in enumerative combinatorics.
CoRR, 2018

2017
Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications.
SIAM J. Discret. Math., 2017

Skyscraper polytopes and realizations of plane triangulations.
J. Comb. Theory B, 2017

Bounds on certain classes of Kronecker and q-binomial coefficients.
J. Comb. Theory A, 2017

VC-dimension of short Presburger formulas.
CoRR, 2017

Complexity of short generating functions.
CoRR, 2017

Lifts, derandomization, and diameters of Schreier graphs of Mealy automata.
Comb., 2017

On the complexity of computing Kronecker coefficients.
Comput. Complex., 2017

Complexity of short Presburger arithmetic.
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017

Enumeration of Integer Points in Projections of Unbounded Polyhedra.
Proceedings of the Integer Programming and Combinatorial Optimization, 2017

2016
Fast Domino Tileability.
Discret. Comput. Geom., 2016

On the Odd Area of Planar Sets.
Discret. Comput. Geom., 2016

Permutation patterns are hard to count.
Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, 2016

2015
Pattern avoidance is not P-recursive.
CoRR, 2015

On the Longest $k$-Alternating Subsequence.
Electron. J. Comb., 2015

2014
Generalized loop-erased random walks and approximate reachability.
Random Struct. Algorithms, 2014

Cayley compositions, partitions, polytopes, and geometric bijections.
J. Comb. Theory A, 2014

The shape of random pattern-avoiding permutations.
Adv. Appl. Math., 2014

2013
Tiling simply connected regions with rectangles.
J. Comb. Theory A, 2013

Constructing Uniquely Realizable Graphs.
Discret. Comput. Geom., 2013

A Quantitative Steinitz Theorem for Plane Triangulations.
CoRR, 2013

The Complexity of Generalized Domino Tilings.
Electron. J. Comb., 2013

2012
Collapsing Walls Theorem.
Am. Math. Mon., 2012

Testing commutativity of a group and the power of randomization.
LMS J. Comput. Math., 2012

Acute triangulations of polyhedra and ℝ N.
Comb., 2012

2011
The weighted hook length formula.
J. Comb. Theory A, 2011

2010
Reductions of Young Tableau Bijections.
SIAM J. Discret. Math., 2010

Acute triangulations of polyhedra and the Euclidean space.
Proceedings of the 26th ACM Symposium on Computational Geometry, 2010

Complexity of O'Hara's Algorithm.
Proceedings of the 9th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, 2010

2009
Hamiltonian paths in Cayley graphs.
Discret. Math., 2009

Geometry and complexity of O'Hara's algorithm.
Adv. Appl. Math., 2009

2008
Inflating the Cube Without Stretching.
Am. Math. Mon., 2008

Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings.
Discret. Comput. Geom., 2008

2006
A combinatorial proof of the Rogers-Ramanujan and Schur identities.
J. Comb. Theory A, 2006

Percolation on Finite Cayley Graphs.
Comb. Probab. Comput., 2006

Expansion Of Product Replacement Graphs.
Comb., 2006

2005
Combinatorics and geometry of Littlewood-Richardson cones.
Eur. J. Comb., 2005

The area of cyclic polygons: Recent progress on Robbins' conjectures.
Adv. Appl. Math., 2005

2004
Tilings of rectangles with T-tetrominoes.
Theor. Comput. Sci., 2004

Bijections for refined restricted permutations.
J. Comb. Theory A, 2004

Strong bias of group generators: an obstacle to the "product replacement algorithm".
J. Algorithms, 2004

Partition congruences by involutions.
Eur. J. Comb., 2004

The nature of partition bijections I. Involutions.
Adv. Appl. Math., 2004

2003
Tile invariants: new horizons.
Theor. Comput. Sci., 2003

2002
Ribbon Tile Invariants from the Signed Area.
J. Comb. Theory A, 2002

Mixing time and long paths in graphs.
Proceedings of the Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2002

2001
On Growth of Grigorchuk Groups.
Int. J. Algebra Comput., 2001

On mixing of certain random walks, cutoff phenomenon and sharp threshold of random matroid processes.
Discret. Appl. Math., 2001

2000
Fast Constructive Recognition of a Black Box Group Isomorphic to Sn or An using Goldbach's Conjecture.
J. Symb. Comput., 2000

On the Number of Faces of Certain Transportation Polytopes.
Eur. J. Comb., 2000

The product replacement algorithm is polynomial.
Proceedings of the 41st Annual Symposium on Foundations of Computer Science, 2000

1999
On Tilings by Ribbon Tetrominoes.
J. Comb. Theory A, 1999

Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and k-ARY trees.
Discret. Math., 1999

Lifting Markov Chains to Speed up Mixing.
Proceedings of the Thirty-First Annual ACM Symposium on Theory of Computing, 1999

Using Stopping Times to Bound Mixing Times.
Proceedings of the Tenth Annual ACM-SIAM Symposium on Discrete Algorithms, 1999

On Sampling Generating Sets of Finite Groups and Product Replacement Algorithm (extended abstract).
Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

Random Cayley Graphs with O(log[G]) Generators Are Expanders.
Proceedings of the Algorithms, 1999

1998
A generalization of Sylvester's identity.
Discret. Math., 1998

1997
A direct bijective proof of the hook-length formula.
Discret. Math. Theor. Comput. Sci., 1997

When and how <i>n</i> choose <i>k</i>.
Proceedings of the Randomization Methods in Algorithm Design, 1997

1996
Trees Associated with the Motzkin Numbers.
J. Comb. Theory A, 1996


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