Zobrazeno 1 - 10
of 5 510
pro vyhledávání: '"Ponomarenko, P."'
The coherent configuration $\mathsf{WL}(X)$ of a graph $X$ is the smallest coherent configuration on the vertices of $X$ that contains the edge set of $X$ as a relation. The aim of the paper is to study $\mathsf{WL}(X)$ when $X$ is a Cartesian produc
Externí odkaz:
http://arxiv.org/abs/2411.02689
Autor:
Ponomarenko, Ilia, Ryabov, Grigory
Following Wielandt, a finite group $G$ is called a $B$-group (Burnside group) if every primitive group containing a regular subgroup isomorphic to $G$ is doubly transitive. Using a method of Schur rings, Wielandt proved that every abelian group of co
Externí odkaz:
http://arxiv.org/abs/2410.22998
Autor:
Ponomarenko, L. A., Principi, Alessandro, Niblett, A. D., Wang, Wendong, Gorbachev, R. V., Kumaravadive, Piranavan, Berdyugin, A. I., Ermakov, A. V., Slizovskiy, Sergey, Watanabe, Kenji, Taniguchi, Takashi, Ge, Qi, Fal'ko, V. I., Eaves, Laurence, Greenaway, M. T., Geim, A. K.
Coulomb drag between adjacent electron and hole gases has attracted considerable attention, being studied in various two-dimensional systems, including semiconductor and graphene heterostructures. Here we report measurements of electron-hole drag in
Externí odkaz:
http://arxiv.org/abs/2410.10640
A complete classification of the multivalued coset groups of order $3$ is given. The proof is based on the classification of rank $3$ groups having regular normal subgroups.
Externí odkaz:
http://arxiv.org/abs/2410.04341
We derive a linear programming bound on the maximum cardinality of error-correcting codes in the sum-rank metric. Based on computational experiments on relatively small instances, we observe that the obtained bounds outperform all previously known bo
Externí odkaz:
http://arxiv.org/abs/2406.15926
Autor:
Wu, Yulai, Ponomarenko, Ilia
A circulant graph is a Cayley graph of a finite cyclic group. The Weisfeiler-Leman-dimension of a circulant graph $X$ with respect to the class of all circulant graphs is the smallest positive integer~$m$ such that the $m$-dimensional Weisfeiler-Lema
Externí odkaz:
http://arxiv.org/abs/2406.15822
Autor:
Cai, Wenxiao, Ponomarenko, Iaroslav, Yuan, Jianhao, Li, Xiaoqi, Yang, Wankou, Dong, Hao, Zhao, Bo
Vision Language Models (VLMs) have achieved impressive performance in 2D image understanding, however they are still struggling with spatial understanding which is the foundation of Embodied AI. In this paper, we propose SpatialBot for better spatial
Externí odkaz:
http://arxiv.org/abs/2406.13642
Given a permutation group $G$ on a finite set $\Omega$, let $G^{(k)}$ denote the $k$-closure of $G$, that is, the largest permutation group on $\Omega$ having the same orbits in the induced action on $\Omega^k$ as $G$. Recall that a group is $\mathrm
Externí odkaz:
http://arxiv.org/abs/2406.03780
Fix $t\in [1,\infty]$. Let $S$ be an atomic commutative semigroup and, for all $x\in S$, let $\mathscr{L}_t(S):=\{\|f\|_t:f\in Z(x)\}$ be the "$t$-length set" of $x$ (using the standard $l_p$-space definition of $\|\cdot\|_t$). The $t$-Delta set of $
Externí odkaz:
http://arxiv.org/abs/2404.02310
Autor:
Huang, Siyuan, Ponomarenko, Iaroslav, Jiang, Zhengkai, Li, Xiaoqi, Hu, Xiaobin, Gao, Peng, Li, Hongsheng, Dong, Hao
While the integration of Multi-modal Large Language Models (MLLMs) with robotic systems has significantly improved robots' ability to understand and execute natural language instructions, their performance in manipulation tasks remains limited due to
Externí odkaz:
http://arxiv.org/abs/2403.11289