Zobrazeno 1 - 10
of 356
pro vyhledávání: '"Pasechnik, A. V."'
We provide a counterexample to a crucial lemma in the ICALP 2008 paper "Simpler Linear-Time Modular Decomposition Via Recursive Factorizing Permutations", invalidating the algorithm described there.
Comment: 5 pages, 1 figure
Comment: 5 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2404.14049
Autor:
Pasechnik, Dmitrii V.
According to a computer search conducted by the author and described in [7], in $Q^+(6, 4)$ there are two types of hyperovals, having 72 and 96 points, respectively. Here we give geometric descriptions for these examples.
Comment: 3 pages, LaTeX
Comment: 3 pages, LaTeX
Externí odkaz:
http://arxiv.org/abs/2308.15585
Autor:
Cati, Matteo, Pasechnik, Dmitrii V.
Hadamard matrices are $(-1, +1)$ square matrices with mutually orthogonal rows. The Hadamard conjecture states that Hadamard matrices of order $n$ exist whenever $n$ is $1$, $2$, or a multiple of $4$. However, no construction is known that works for
Externí odkaz:
http://arxiv.org/abs/2306.16812
Autor:
Pasechnik, Dmitrii V.
Publikováno v:
Represent. Theory 25 (2021), 897-902
We show that any irreducible representation $\rho$ of a finite group $G$ of exponent $n$, realisable over $\mathbb{R}$, is realisable over the field $E:=\mathbb{Q}(\zeta_n)\cap\mathbb{R}$ of real cyclotomic numbers of order $n$, and describe an algor
Externí odkaz:
http://arxiv.org/abs/2107.03452
Autor:
Kiselev, Alexei D., Pasechnik, S. V., Shmeliova, D. V., Chopik, A. P., Semerenko, D. A., Dubtsov, A. V.
Publikováno v:
Adv. Cond. Matter Phys. V. 2019, 1539865 (2019)
We theoretically analyze the waveguide regime of light propagation in a cylindrical pore of a polymer matrix filled with liquid crystals assuming that the effective radial optical anisotropy is biaxial. From numerical analysis of the dispersion relat
Externí odkaz:
http://arxiv.org/abs/1901.05782
Autor:
Pasechnik, Dmitrii V.
Publikováno v:
Advances in Mathematics 312 (2017), 459--472
We augment the list of finite universal locally toroidal regular polytopes of type {3,3,4,3,3} due to P.McMullen and E.Schulte, adding as well as removing entries. This disproves a related long-standing conjecture. Our new universal polytope is relat
Externí odkaz:
http://arxiv.org/abs/1603.01710
Publikováno v:
Arnold Mathematical Journal, 3(2017), 197--204
We study random, finite-dimensional, ungraded chain complexes over a finite field and show that for a uniformly distributed differential a complex has the smallest possible homology with the highest probability: either zero or one-dimensional homolog
Externí odkaz:
http://arxiv.org/abs/1602.08538
Autor:
Cohen, Nathann, Pasechnik, Dmitrii V.
Publikováno v:
Designs, Codes, and Cryptography, 84(2017), 223--235
Andries Brouwer maintains a public database of existence results for strongly regular graphs on $n\leq 1300$ vertices. We implemented most of the infinite families of graphs listed there in the open-source software Sagemath, as well as provided const
Externí odkaz:
http://arxiv.org/abs/1601.00181
Autor:
Pasechnik, Dmitrii V.
We show that for any non-negative 4-ary quartic form $f$ there exists a product of two non-negative quadrics $q$ and $q'$ so that $qq'f$ is a sum of squares (s.o.s.) of quartics. As a step towards deciding whether just one $q$ always suffices to make
Externí odkaz:
http://arxiv.org/abs/1511.03473
Autor:
Shmeliova, Dina V.1 (AUTHOR), Pasechnik, Sergey V.1 (AUTHOR) s-p-a-s-m@mail.ru, Kharlamov, Semen S.1 (AUTHOR), Dubtsov, Alexander V.1 (AUTHOR), Zakharov, Alexandre V.1,2 (AUTHOR), Loebner, Sarah3 (AUTHOR), Santer, Svetlana3 (AUTHOR)
Publikováno v:
Symmetry (20738994). Mar2023, Vol. 15 Issue 3, p722. 19p.