Ilia Ponomarenko

Orcid: 0000-0003-2444-731X

Affiliations:
  • Steklov Institute of Mathematics, St. Petersburg, Russia


According to our database1, Ilia Ponomarenko authored at least 41 papers between 1994 and 2024.

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Bibliography

2024
On computing the closures of solvable permutation groups.
Int. J. Algebra Comput., February, 2024

2023
The Weisfeiler-Leman Dimension of Distance-Hereditary Graphs.
Graphs Comb., August, 2023

On the Weisfeiler-Leman dimension of permutation graphs.
CoRR, 2023

2022
Isomorphism testing of k-spanning tournaments is Fixed Parameter Tractable.
CoRR, 2022

On a Huge Family of Non-Schurian Schur Rings.
Electron. J. Comb., 2022

Testing Isomorphism of Chordal Graphs of Bounded Leafage is Fixed-Parameter Tractable (Extended Abstract).
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2022

2021
The Weisfeiler-Leman algorithm and recognition of graph properties.
Theor. Comput. Sci., 2021

The Weisfeiler-Leman Dimension of Chordal Bipartite Graphs Without Bipartite Claw.
Graphs Comb., 2021

Testing isomorphism of chordal graphs of bounded leafage is fixed-parameter tractable.
CoRR, 2021

Tensor products of coherent configurations.
CoRR, 2021

A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers.
Ars Math. Contemp., 2021

2020
Testing isomorphism of circulant objects in polynomial time.
J. Comb. Theory, Ser. A, 2020

Two-closures of supersolvable permutation groups in polynomial time.
Comput. Complex., 2020

2019
The Weisfeiler-Leman Dimension of Planar Graphs Is at Most 3.
J. ACM, 2019

Two-closure of supersolvable permutation group in polynomial time.
CoRR, 2019

Walk refinement, walk logic, and the iteration number of the Weisfeiler-Leman algorithm.
Proceedings of the 34th Annual ACM/IEEE Symposium on Logic in Computer Science, 2019

2017
Testing isomorphism of central Cayley graphs over almost simple groups in polynomial time.
CoRR, 2017

Recognizing and testing isomorphism of Cayley graphs over an abelian group of order $4p$ in polynomial time.
CoRR, 2017

2014
Tensor Rank: Matching Polynomials and Schur Rings.
Found. Comput. Math., 2014

2012
On pseudocyclic association schemes.
Ars Math. Contemp., 2012

2010
Schur rings over a Galois ring of odd characteristic.
J. Comb. Theory, Ser. A, 2010

2009
The Basis Digraphs of <i>p</i>-schemes.
Graphs Comb., 2009

Preface.
Eur. J. Comb., 2009

Schur rings.
Eur. J. Comb., 2009

Permutation group approach to association schemes.
Eur. J. Comb., 2009

Non-Isomorphic Graphs with Cospectral Symmetric Powers.
Electron. J. Comb., 2009

2006
Homomorphic Public-Key Cryptosystems and Encrypting Boolean Circuits.
Appl. Algebra Eng. Commun. Comput., 2006

2005
Circulant graphs: efficient recognizing and isomorphism testing: (extended abstract).
Electron. Notes Discret. Math., 2005

Constructions in public-key cryptography over matrix groups
CoRR, 2005

2003
Homomorphic public-key cryptosystems over groups and rings
CoRR, 2003

2002
On non-abelian homomorphic public-key cryptosystems
CoRR, 2002

2001
Two-closure of odd permutation group in polynomial time.
Discret. Math., 2001

2000
Forestal algebras and algebraic forests (on a new class of weakly compact graphs).
Discret. Math., 2000

Separability Number and Schurity Number of Coherent Configurations.
Electron. J. Comb., 2000

1999
Compact cellular algebras and permutation groups.
Discret. Math., 1999

On Highly Closed Cellular Algebras and Highly Closed Isomorphisms.
Electron. J. Comb., 1999

Isomorphism of Coloured Graphs with Slowly Increasing Multiplicity of Jordan Blocks.
Comb., 1999

1996
The Isomorphism Problem For Directed Path Graphs and For Rooted Directed Path Graphs.
J. Algorithms, 1996

1994
Graph Algebras and the Graph Isomorphism Problem.
Appl. Algebra Eng. Commun. Comput., 1994

Graph Isomorphism Problem and 2-Closed Permutation Groups.
Appl. Algebra Eng. Commun. Comput., 1994

Direct Path Graph Isomorphism (Extended Abstract).
Proceedings of the Graph-Theoretic Concepts in Computer Science, 1994


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