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A graph $G$ is $H$-saturated if $H$ is not a subgraph of $G$ but $H$ is a subgraph of $G + e$ for any edge $e$ in $\overline{G}$. The saturation number $sat(n,H)$ for a graph $H$ is the minimal number of edges in any $H$-saturated graph of order $n$.
Externí odkaz:
http://arxiv.org/abs/2408.11644
Let $H$ be a fixed graph, a graph G is $H$-saturated if it has no copy of $H$ in $G$, but the addition of any edge in $E(\overline G)$ to $G$ results in an $H$-subgraph. The saturation number sat$(n,H)$ is the minimum number of edges in an $H$-satura
Externí odkaz:
http://arxiv.org/abs/2408.06719
Autor:
Lou, Yan-Chao, Ren, Zhi-Cheng, Chen, Chao, Wan, Pei, Zhu, Wen-Zheng, Wang, Jing, Xue, Shu-Tian, Dong, Bo-Wen, Ding, Jianping, Wang, Xi-Lin, Wang, Hui-Tian
Publikováno v:
Phys. Rev. Applied 22, 014052 (2024)
Recently, great progress has been made in the entanglement of multiple photons at various wavelengths and in different degrees of freedom for optical quantum information applied in diverse scenarios. However, multi-photon entanglement in the transmis
Externí odkaz:
http://arxiv.org/abs/2407.16983
Autor:
Liu, Zhi-Feng, Ren, Zhi-Cheng, Wan, Pei, Zhu, Wen-Zheng, Cheng, Zi-Mo, Wang, Jing, Shi, Yu-Peng, Xi, Han-Bing, Huber, Marcus, Friis, Nicolai, Gao, Xiaoqin, Wang, Xi-Lin, Wang, Hui-Tian
High-dimensional encoding of quantum information holds the potential to greatly increase the computational power of existing devices by enlarging the accessible state space for fixed register size and by reducing the number of required entangling gat
Externí odkaz:
http://arxiv.org/abs/2407.16356
Let $H$ be a fixed graph. A graph $G$ is called {\it $H$-saturated} if $H$ is not a subgraph of $G$ but the addition of any missing edge to $G$ results in an $H$-subgraph. The {\it saturation number} of $H$, denoted $sat(n,H)$, is the minimum number
Externí odkaz:
http://arxiv.org/abs/2404.12204
Let $S\subseteq V(G)$ and $\pi_{G}(S)$ denote the maximum number $t$ of edge-disjoint paths $P_{1},P_{2},\ldots,P_{t}$ in a graph $G$ such that $V(P_{i})\cap V(P_{j})=S$ for any $i,j\in\{1,2,\ldots,t\}$ and $i\neq j$. If $S=V(G)$, then $\pi_{G}(S)$ i
Externí odkaz:
http://arxiv.org/abs/2401.13423
Publikováno v:
九州地区国立大学教育系・文系研究論文集. 9(1):4
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論文(Article)
本論文は「九州地区国立大学教育系・文系研究論文集」Vol.9, No.1(2022年/10月)に査読を経て受理された。
論文(Article)
本論文は「九州地区国立大学教育系・文系研究論文集」Vol.9, No.1(2022年/10月)に査読を経て受理された。
Quantum illumination (QI) leverages entangled lights to detect the potential presence of low-reflective objects in a region surrounded by a thermal bath. Homologously, quantum parameter estimation utilizes non-classical probes to accurately estimate
Externí odkaz:
http://arxiv.org/abs/2308.07150
Publikováno v:
European Journal of Medical Research, Vol 29, Iss 1, Pp 1-12 (2024)
Abstract Enzalutamide (Enz) is commonly utilized as the initial treatment strategy for advanced prostate cancer (PCa). However, a notable subset of patients may experience resistance to Enz, resulting in reduced effectiveness. Utilizing Gene Expressi
Externí odkaz:
https://doaj.org/article/3e16b3d5c1494ba1af6fc6ca187ee066
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22486-22499 (2024)
In this paper, we established a $ T1 $ criterion for the boundedness of Laguerre-Calderón-Zygmund operators on BMO$ _{L_{\alpha}}(0, \infty) $ associated with Laguerre operators $ L_\alpha(\alpha > -\frac{1}{2}) $. As applications, we proved the bou
Externí odkaz:
https://doaj.org/article/f34dae41aad54ebc961cc1e2ce816106