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19972026
most citedFIESTA5: numerical high-performance Feynman integral evaluation

100 citations

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7 papers · 1 filter

math.CO2026

Hamiltonian Sets of Polygonal Paths in Assembly Graphs

A. Guterman, N. Jonoska, E. Kreines +2

We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…

math.CO2023

On linear preservers of permanental rank

Alexander Guterman, Igor Spiridonov

Let denote the set of square matrices over a field of characteristic different from two. The permanental rank of…

math.CO2023★ 1 cited

Invariant systems of weighted representatives

Anton A. Klyachko, Mikhail S. Terekhov

It is known that, if removing some edges from a graph destroys all subgraphs isomorphic to a given finite graph , then all subgraphs isomorphic to can be destroyed b…

math.CO2022★ 2 cited

Maximal Generalized Rank in Graphical Matrix Spaces

Alexander Guterman, Roy Meshulam, Igor Spiridonov

In this note we prove two extensions of a recent combinatorial characterization due to Li, Qiao, Wigderson, Wigderson and Zhang (arXiv:2206.04815) of the maximal dimension of bound…

math.CO2021★ 10 cited

An asymptotic lower bound on the number of bent functions

V. N. Potapov, A. A. Taranenko, Yu. V. Tarannikov

A Boolean function on variables is said to be a bent function if the absolute value of all its Walsh coefficients is . Our main result is a new asymptotic lower bo…

math.CO2015★ 58 cited

Plane partitions with a "pit": generating functions and representation theory

M. Bershtein, B. Feigin, G. Merzon

We study plane partitions satisfying condition (this condition is called "pit") and asymptotic conditions along three coordinate axes. We find the formulas for gene…

math.CO2014★ 7 cited

Determinantal identities for flagged Schur and Schubert polynomials

Grigory Merzon, Evgeny Smirnov

We prove new determinantal identities for a family of flagged Schur polynomials. As a corollary of these identities we obtain determinantal expressions of Schubert polynomials for…