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The treewidth is a structural parameter that measures the tree-likeness of a graph. Many algorithmic and combinatorial results are expressed in terms of the treewidth. In this paper, we study the treewidth of outer $k$-planar graphs, that is, graphs
Externí odkaz:
http://arxiv.org/abs/2408.04264
Autor:
Pula, James S.
Publikováno v:
Polish American Studies; Autumn2021, Vol. 78 Issue 2, p41-63, 23p
Autor:
Oppliger, J., Küspert, J., Dippel, A. -C., Zimmermann, M. v., Gutowski, O., Ren, X., Zhou, X. J., Zhu, Z., Frison, R., Wang, Q., Martinelli, L., Biało, I., Chang, J.
Spectacular quantum phenomena such as superconductivity often emerge in flat-band systems where Coulomb interactions overpower electron kinetics. Engineering strategies for flat-band physics is therefore of great importance. Here, using high-energy g
Externí odkaz:
http://arxiv.org/abs/2404.17795
We consider a graph coloring algorithm that processes vertices in order taken uniformly at random and assigns colors to them using First-Fit strategy. We show that this algorithm uses, in expectation, at most $(1 + o(1))\cdot \ln n \,/\, \ln\ln n$ di
Externí odkaz:
http://arxiv.org/abs/2404.17011
Autor:
Gutowski, Michał, Kwaśnicki, Mateusz
Sobolev-Bregman forms, or $p$-forms, describe Markovian semigroups on $L^p$, and they reduce to Dirichlet forms when $p = 2$. We prove a variant of the Beurling-Deny formula for Sobolev-Bregman forms which correspond to an arbitrary regular Dirichlet
Externí odkaz:
http://arxiv.org/abs/2312.10824
Autor:
Fradet, Nathan, Briot, Jean-Pierre, Chhel, Fabien, Seghrouchni, Amal El Fallah, Gutowski, Nicolas
Recent progress in natural language processing has been adapted to the symbolic music modality. Language models, such as Transformers, have been used with symbolic music for a variety of tasks among which music generation, modeling or transcription,
Externí odkaz:
http://arxiv.org/abs/2310.17202
Symbolic music is widely used in various deep learning tasks, including generation, transcription, synthesis, and Music Information Retrieval (MIR). It is mostly employed with discrete models like Transformers, which require music to be tokenized, i.
Externí odkaz:
http://arxiv.org/abs/2310.08497
Autor:
Theresa Matzinger, Marek Placiński, Adam Gutowski, Mariusz Lewandowski, Przemysław Żywiczyński, Sławomir Wacewicz
Publikováno v:
Language and Cognition, Vol 16, Pp 1834-1851 (2024)
An important quality to assess in others is their cooperativeness. We hypothesized that people use linguistic markers in their partners’ speech as a proxy of their cooperativeness in other tasks: specifically, we predicted that participants would p
Externí odkaz:
https://doaj.org/article/a616b63306ca4943a773592c18706ec8